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  • Articles  (104)
  • Engineering General  (104)
  • 1975-1979  (104)
  • Architecture, Civil Engineering, Surveying  (104)
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  • Articles  (104)
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  • 1
    Electronic Resource
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    New York, NY [u.a.] : Wiley-Blackwell
    International Journal for Numerical and Analytical Methods in Geomechanics 2 (1978), S. 381-404 
    ISSN: 0363-9061
    Keywords: Engineering ; Engineering General
    Source: Wiley InterScience Backfile Collection 1832-2000
    Topics: Architecture, Civil Engineering, Surveying , Geosciences
    Notes: The essential cause of the growth of pore pressure during cyclic loading is identified as an ‘autogenous’ shrinkage or densification of the solid phase of the soil and this is related to a strain path parameter. Introduction of this ‘shrinkage’ coupled with an elasto-plastic behaviour of the soil skeleton allows a full non-linear dynamic analysis to be conducted up to the point of structural failure for any earthquake input. Explicit time marching procedures are used. The procedure outlined is applicable to all problems of complex geometry and for conditions of undrained or partially drained behaviour at a moderate computational cost.
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  • 2
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    International Journal for Numerical and Analytical Methods in Geomechanics 3 (1979), S. 63-78 
    ISSN: 0363-9061
    Keywords: Engineering ; Engineering General
    Source: Wiley InterScience Backfile Collection 1832-2000
    Topics: Architecture, Civil Engineering, Surveying , Geosciences
    Notes: Problems of a raft on a visco-elastic continuum may be converted to equivalent elastic problems by means of a Laplace transformation. In this paper a numerical solution of the equivalent problem is obtained by finite element or other techniques. This solution is converted into the form of an eigenvector expansion and then transformed into a numerical solution to the original problem by inverting the Laplace transform. This form of solution has the advantage of applying to any visco-elastic model, and of requiring little additional computation as a result of changing the visco-elastic model, the relative raft-soil stiffness or the load pattern.The application of the method is illustrated by results for circular rafts, strip footings of finite length and rectangular rafts, and particular attention is paid to a realistic soil creep function which is asymptotic to a linear function of log time.
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  • 3
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    International Journal for Numerical and Analytical Methods in Geomechanics 1 (1977), S. 319-319 
    ISSN: 0363-9061
    Keywords: Engineering ; Engineering General
    Source: Wiley InterScience Backfile Collection 1832-2000
    Topics: Architecture, Civil Engineering, Surveying , Geosciences
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  • 4
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    International Journal for Numerical and Analytical Methods in Geomechanics 1 (1977), S. 320-320 
    ISSN: 0363-9061
    Keywords: Engineering ; Engineering General
    Source: Wiley InterScience Backfile Collection 1832-2000
    Topics: Architecture, Civil Engineering, Surveying , Geosciences
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  • 5
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    New York, NY [u.a.] : Wiley-Blackwell
    International Journal for Numerical and Analytical Methods in Geomechanics 1 (1977), S. 343-375 
    ISSN: 0363-9061
    Keywords: Bearing capacity ; Deformation ; Earth pressure ; Finite elements ; Friction plastic properties ; Retaining walls ; Soil mechanics ; Engineering ; Engineering General
    Source: Wiley InterScience Backfile Collection 1832-2000
    Topics: Architecture, Civil Engineering, Surveying , Geosciences
    Notes: Three constitutive models of soil are used in finite element analyses of lateral earth pressure and bearing capacity. The three models are an elasto-plastic formulation derived from the Mohr-Coulomb law, a similar model with the plastic dilatancy removed, and a strain hardening model with a capped yield criterion. Stiffness formulations are described; the non-dilatant model has a non-symmetric stiffness. The results for the retaining walls are in close agreement with classical soil mechanics, but the bearing capacity analyses greatly overestimate the bearing capacity. The patterns of motion are, however, reasonable. Reasons for the discripancies in the bearing capacity case include: (a) the elements are too stiff and do not permit sliding on discrete failure planes; (b) the bearing capacity problem is itself not well settled theoretically; (c) very fine element divisions are necessary in areas of strong stress gradients and (d) rotation of principal stresses is significant.
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  • 6
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    New York, NY [u.a.] : Wiley-Blackwell
    International Journal for Numerical and Analytical Methods in Geomechanics 2 (1978), S. 3-17 
    ISSN: 0363-9061
    Keywords: Engineering ; Engineering General
    Source: Wiley InterScience Backfile Collection 1832-2000
    Topics: Architecture, Civil Engineering, Surveying , Geosciences
    Notes: A three-dimensional finite element program is used to analyse an 80 m high rockfill dam. An analysis is made of the deformed shape of the dam and the internal stresses and strains due to reservoir filling.
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  • 7
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    International Journal for Numerical and Analytical Methods in Geomechanics 2 (1978), S. 177-187 
    ISSN: 0363-9061
    Keywords: Engineering ; Engineering General
    Source: Wiley InterScience Backfile Collection 1832-2000
    Topics: Architecture, Civil Engineering, Surveying , Geosciences
    Notes: The problem of plates on consolidating soil is considered. Biot's three-dimensional consolidation theory, the generalization of Terzaghi's model, is employed to account for the consolidation process. A mathematical model is developed and the differential equations governing the system together with the proper boundary conditions are derived. A variational formulation of the problem and a convenient approximate method of solution are also presented.For numerical analysis, the problem of a rectangular plate on consolidating soil under various loading conditions is numerically solved and the effects of various physical factors on the settlements and the pore pressures are studied.
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  • 8
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    International Journal for Numerical and Analytical Methods in Geomechanics 2 (1978), S. 200-200 
    ISSN: 0363-9061
    Keywords: Engineering ; Engineering General
    Source: Wiley InterScience Backfile Collection 1832-2000
    Topics: Architecture, Civil Engineering, Surveying , Geosciences
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  • 9
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    International Journal for Numerical and Analytical Methods in Geomechanics 2 (1978), S. 203-221 
    ISSN: 0363-9061
    Keywords: Engineering ; Engineering General
    Source: Wiley InterScience Backfile Collection 1832-2000
    Topics: Architecture, Civil Engineering, Surveying , Geosciences
    Notes: An anisotropic hardening model for soils is proposed by applying the concept of a field of hardening moduli developed previously for metals. Besides the yield surface, a set of nesting surfaces in the stress-space specifies the variation of hardening moduli during the deformation process. Both drained and undrained soil behaviour can be treated and distortional as well as volumetric strain cycles can be considered. The model can be applied in studying soil behaviour under cyclic loading and in particular to describe densification or liquefaction phenomena.
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  • 10
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    International Journal for Numerical and Analytical Methods in Geomechanics 2 (1978), S. 303-310 
    ISSN: 0363-9061
    Keywords: Engineering ; Engineering General
    Source: Wiley InterScience Backfile Collection 1832-2000
    Topics: Architecture, Civil Engineering, Surveying , Geosciences
    Notes: A finite-difference scheme widely used in analysis of pile driving is examined, the scheme is shown to yield peculiar results in simple symmetric impact problems and to inherently posses an imprecise definition of energy balance. A modified difference scheme is suggested and comparisons of the two methods are shown.
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  • 11
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    International Journal for Numerical and Analytical Methods in Geomechanics 2 (1978), S. ii 
    ISSN: 0363-9061
    Keywords: Engineering ; Engineering General
    Source: Wiley InterScience Backfile Collection 1832-2000
    Topics: Architecture, Civil Engineering, Surveying , Geosciences
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  • 12
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    International Journal for Numerical and Analytical Methods in Geomechanics 1 (1977) 
    ISSN: 0363-9061
    Keywords: Engineering ; Engineering General
    Source: Wiley InterScience Backfile Collection 1832-2000
    Topics: Architecture, Civil Engineering, Surveying , Geosciences
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  • 13
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    International Journal for Numerical and Analytical Methods in Geomechanics 1 (1977), S. 387-396 
    ISSN: 0363-9061
    Keywords: Engineering ; Engineering General
    Source: Wiley InterScience Backfile Collection 1832-2000
    Topics: Architecture, Civil Engineering, Surveying , Geosciences
    Notes: A method is presented for the analysis of composite structures with prescribed frictional conditions at the interfaces. The method, which can also be used for the piecewise solution of large structures, is illustrated by analyzing a test problem with two interfaces.
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  • 14
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    International Journal for Numerical and Analytical Methods in Geomechanics 1 (1977), S. 397-405 
    ISSN: 0363-9061
    Keywords: Engineering ; Engineering General
    Source: Wiley InterScience Backfile Collection 1832-2000
    Topics: Architecture, Civil Engineering, Surveying , Geosciences
    Notes: An approximate method, using a simplified soil model, for predicting the behaviour of raft foundations subjected to applied vertical forces and moments will be outlined. Results obtained for circular rafts of finite rigidity are compared with those obtained, from more rigorous solutions, by other authors. Satisfactory agreement is obtained for the surface settlements and raft bending moments over a wide range of soil inhomogeneity. Finally, the versatility of the method of analysis is illustrated for an unusual asymmetrical structure. Computed total and differential settlements are shown to be in reasonable agreement with measured values and those predicted by an independent plane strain finite element analysis.
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  • 15
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    International Journal for Numerical and Analytical Methods in Geomechanics 2 (1978), S. 57-72 
    ISSN: 0363-9061
    Keywords: Engineering ; Engineering General
    Source: Wiley InterScience Backfile Collection 1832-2000
    Topics: Architecture, Civil Engineering, Surveying , Geosciences
    Notes: Numerical codes which use a one-point quadrature integration rule to calculate stiffness matrices for the 2-D quadrilateral element and the 3-D hexahedral element, produce matrices which are singular with respect to a number of displacement patterns, other than the rigid body patterns. In this paper an economical method is derived to remove this singularity and which also produces accurate flexural response. For rectilinear element geometry the method is equivalent to the incompatible model element of Wilson et al.7 For non-rectilinear element geometry a slight modification of the scheme is required in order to assure that it passes the patch test. The method of this paper can also be used in finite difference codes which experience similar difficulties.
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  • 16
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    International Journal for Numerical and Analytical Methods in Geomechanics 2 (1978), S. 87-93 
    ISSN: 0363-9061
    Keywords: Engineering ; Engineering General
    Source: Wiley InterScience Backfile Collection 1832-2000
    Topics: Architecture, Civil Engineering, Surveying , Geosciences
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  • 17
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    International Journal for Numerical and Analytical Methods in Geomechanics 2 (1978), S. 99-128 
    ISSN: 0363-9061
    Keywords: Engineering ; Engineering General
    Source: Wiley InterScience Backfile Collection 1832-2000
    Topics: Architecture, Civil Engineering, Surveying , Geosciences
    Notes: The paper reports on the results of theoretical and experimental investigations on the spontaneous formation of shear bands in sand bodies. The phenomenon is considered as a bifurcation problem. Consequently, material response and configuration-dependent loading determine the bifurcation mode. Both Coulomb's and Roscoe's solutions of inclination of the shear band can be correct theoretically and experimentally. The first one holds for non-rotating stress axes, the second one for co-rotating stress and strain increment axes during failure. Values in between can occur if the rotation of principal stress axes is not equal to one of these limits. If Coulomb's inclination of shear band occurs, there is a thin deforming material layer separating rigid bodies. Inside the shear band non-coaxiality of strain increment and stress holds from the beginning. If Roscoe's inclination of shear band occurs, it is separating two deforming bodies. Inside the shear band strain increment and stress are coaxial at peak.
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  • 18
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    International Journal for Numerical and Analytical Methods in Geomechanics 2 (1978), S. 199-200 
    ISSN: 0363-9061
    Keywords: Engineering ; Engineering General
    Source: Wiley InterScience Backfile Collection 1832-2000
    Topics: Architecture, Civil Engineering, Surveying , Geosciences
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  • 19
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    International Journal for Numerical and Analytical Methods in Geomechanics 1 (1977), S. 25-43 
    ISSN: 0363-9061
    Keywords: Engineering ; Engineering General
    Source: Wiley InterScience Backfile Collection 1832-2000
    Topics: Architecture, Civil Engineering, Surveying , Geosciences
    Notes: Presented in this paper is a formulation and a numerical solution method for problems which involve finite deformations of an elasto-plastic material. The governing equations are cast in rate form and the constitutive laws are formulated in a frame indifferent manner. Particular reference is made to the finite deformation of soil. Plastic failure is described by a general yield condition and plastic deformation by an arbitrary flow rule. Several examples are treated numerically.
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  • 20
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    International Journal for Numerical and Analytical Methods in Geomechanics 1 (1977) 
    ISSN: 0363-9061
    Keywords: Engineering ; Engineering General
    Source: Wiley InterScience Backfile Collection 1832-2000
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  • 21
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    International Journal for Numerical and Analytical Methods in Geomechanics 1 (1977), S. 151-176 
    ISSN: 0363-9061
    Keywords: Engineering ; Engineering General
    Source: Wiley InterScience Backfile Collection 1832-2000
    Topics: Architecture, Civil Engineering, Surveying , Geosciences
    Notes: The use of discrete models for the dynamic analysis of a contiuum requires the existence of a finite domain with well defined boundaries. When these boundaries do not exist naturally but have to be artificially imposed it may be necessary to apply appropriate conditions on forces or displacements at the boundary nodes to reproduce the physical behaviour of the actual problem. In the solution of soil structure interaction problems these conditions are simulated through the use of transmitting boundaries. In this paper several of these boundaries are evaluated comparing the results they produce in the amplification of seismic motions, the determination of foundation stiffnesses and the structural response. The distance of the boundaries to the zone of interest, the level of excitation (influencing the amount of internal soil damping), the geometry of the problem (finite soil layer versus a half-space) and the relative frequency of the structure with respect to the soil and the specified motion are all parameters which must be taken into account for this evaluation.
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  • 22
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    International Journal for Numerical and Analytical Methods in Geomechanics 1 (1977), S. 249-269 
    ISSN: 0363-9061
    Keywords: Engineering ; Engineering General
    Source: Wiley InterScience Backfile Collection 1832-2000
    Topics: Architecture, Civil Engineering, Surveying , Geosciences
    Notes: A finite element study is presented of the short-term effects that develop when a tunnel is driven in a ground showing viscous behaviour associated with the deviatoric deformations. Axisymmetric conditions around the tunnel centreline are assumed and the process of excavation is simulated by means of a step-by-step time incremental technique. The Kelvin's model is used to approximate the medium creep behaviour and a simple procedure is presented that allows the determination of the creep model constants from the laboratory test data. Various rates of advancing, the presence of an unsupported zone close to the tunnel face and the temporary interruption of the excavation process are considered. For the viscous model and the analytical technique used, simple, approximate relationships are presented for the displacements around the tunnel and the overexcavation volume as functions of the rate of excavation advancing.
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  • 23
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    International Journal for Numerical and Analytical Methods in Geomechanics 1 (1977), S. 323-341 
    ISSN: 0363-9061
    Keywords: Engineering ; Engineering General
    Source: Wiley InterScience Backfile Collection 1832-2000
    Topics: Architecture, Civil Engineering, Surveying , Geosciences
    Notes: A numerical step-by-step procedure, analogous to the ‘Initial Stress Method,’ is presented for the analysis of a single-layer jointed rock beam subjected to gravity loads and in-plane in situ formation pressure. The joints are permitted to open at locations where the flexural stresses exceed flexural strength. The material properties may be different for each rock block and joint. A detailed algorithm is given for the solution of the problem. The results of several analyses indicating the relative effects of initial formation pressure, transverse load, stiffness of the joint material, and joint spacing on the response of a jointed beam are presented. The convergence characteristics of the numerical procedure are included. The joint material is assumed to be ‘no-tension’ type. Both the geometric and material non-linear effects are considered.
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  • 24
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    International Journal for Numerical and Analytical Methods in Geomechanics 1 (1977), S. 407-407 
    ISSN: 0363-9061
    Keywords: Engineering ; Engineering General
    Source: Wiley InterScience Backfile Collection 1832-2000
    Topics: Architecture, Civil Engineering, Surveying , Geosciences
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  • 25
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    International Journal for Numerical and Analytical Methods in Geomechanics 2 (1978), S. 35-56 
    ISSN: 0363-9061
    Keywords: Engineering ; Engineering General
    Source: Wiley InterScience Backfile Collection 1832-2000
    Topics: Architecture, Civil Engineering, Surveying , Geosciences
    Notes: Incremental theory of plasticity has been used to derive associated and non-associated stress-strain relations for analysing the undrained stress-strain response of isotropic normally and lightly overconsolidated clays. A series of comparisons between the theoretical stress-strain-pore pressure response and laboratory test results for 3 in. × 6 in. samples of very high degree of repeatability and reproduceability have been described. From these comparisons it can be seen that both the associated and, non-associated Cam clay models appear to give consistently the best correlations between the theoretical results and the experimental observations.
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  • 26
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    International Journal for Numerical and Analytical Methods in Geomechanics 2 (1978), S. 19-34 
    ISSN: 0363-9061
    Keywords: Isothermal moisture movement ; Non-isothermal moisture movement ; Moisture model ; Transient steady state moisture flow ; Engineering ; Engineering General
    Source: Wiley InterScience Backfile Collection 1832-2000
    Topics: Architecture, Civil Engineering, Surveying , Geosciences
    Notes: An investigation was conducted to develop a comprehensive moisture model for predicting non-isothermal moisture conditions in soils. An extensive literature review indicated that a model based on the Philip and de Vries equations for non-isothermal moisture movement and heat conduction would give the best results. By using numerical methods, the implicit finite difference approximations to the moisture movement and heat-transfer equations were programmed for computer solution of water content and temperature in the soil with time.Validation studies indicate that the moisture model can be used to predict accurately moisture conditions in the soil. The model was validated by using hydraulic data from laboratory studies conducted on soil columns compacted with AASHO A-3 and AASHO A-4 soil.The application of the moisture model to the study of non-isothermal moisture movement in the field is demonstrated. The influence of parameters such as water table depth, precipitation, and soil hydraulic properties on soil moisture content are shown by use of the moisture model. The model is shown to be applicable to a wide range of boundary conditions and that it predicts the moisture-temperature regime with time in soils utilizing climatic input data.
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  • 27
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    International Journal for Numerical and Analytical Methods in Geomechanics 2 (1978), S. 73-86 
    ISSN: 0363-9061
    Keywords: Engineering ; Engineering General
    Source: Wiley InterScience Backfile Collection 1832-2000
    Topics: Architecture, Civil Engineering, Surveying , Geosciences
    Notes: The paper deals with the determination of the flow properties of expansive and unsaturated clays under different conditions of stress. By choosing the moisture content as the dependent variable, the well known non-linear diffusin equation is derived. Numerical solutions using a finite element program are presented, assuming a linear relationship between the moisture diffusivity and the concentration (the relative moisture content). These solutions are interpreted and a procedure is proposed to derive the flow properties of the clay from the sorption curves. Results of tests are presented and used to illustrate the procedure. It is found that the lower the stress applied, the smaller the initial moisture diffusivity and the stronger the dependence of the moisture diffusivity upon the concentration.
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  • 28
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    International Journal for Numerical and Analytical Methods in Geomechanics 2 (1978), S. 129-158 
    ISSN: 0363-9061
    Keywords: Engineering ; Engineering General
    Source: Wiley InterScience Backfile Collection 1832-2000
    Topics: Architecture, Civil Engineering, Surveying , Geosciences
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  • 29
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    International Journal for Numerical and Analytical Methods in Geomechanics 2 (1978), S. 189-197 
    ISSN: 0363-9061
    Keywords: Engineering ; Engineering General
    Source: Wiley InterScience Backfile Collection 1832-2000
    Topics: Architecture, Civil Engineering, Surveying , Geosciences
    Notes: The equations governing the undrained linear elastic behaviour of a saturated soil are formally similar to the equations governing slow of an incompressible Newtonian viscous fluid. This principle of equivalence can then be effectively employed to obtain the load-deflection reiationship for a deep rigid anchor with the shape of a solid of revolution which is embedded in bonded contact with an unbounded incompressible elastic medium. It is found that the load-deflection relationship for the deep rigid anchor can be directly recovered from the expression for the drag induced on an impermeable object with the same size and shape as the anchor, which is appropriately placed in a slow viscous flow region of uniform velocity.
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  • 30
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    International Journal for Numerical and Analytical Methods in Geomechanics 2 (1978) 
    ISSN: 0363-9061
    Keywords: Engineering ; Engineering General
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  • 31
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    International Journal for Numerical and Analytical Methods in Geomechanics 2 (1978), S. 202-202 
    ISSN: 0363-9061
    Keywords: Engineering ; Engineering General
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  • 32
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    International Journal for Numerical and Analytical Methods in Geomechanics 2 (1978), S. 283-301 
    ISSN: 0363-9061
    Keywords: Engineering ; Engineering General
    Source: Wiley InterScience Backfile Collection 1832-2000
    Topics: Architecture, Civil Engineering, Surveying , Geosciences
    Notes: The effects and simulation of driving of structures (piles) into saturated soil media are discussed, and procedures for numerical simulation of driving are proposed. Consolidation caused by changes in stresses and in pore water pressures in the soil mass due to the driving is solved by using a finite element procedure. The changes in stresses and pore water pressures due to driving are obtained on the basis of the cavity expansion approach, and are introduced in the finite element procedure as initial conditions. Stresses and deformations around a pile as consolidation proceeds are plotted and related to the quantities such as a wall friction, and point and total loads relevant to analysis and design.
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  • 33
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    International Journal for Numerical and Analytical Methods in Geomechanics 2 (1978) 
    ISSN: 0363-9061
    Keywords: Engineering ; Engineering General
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  • 34
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    International Journal for Numerical and Analytical Methods in Geomechanics 3 (1979), S. 279-283 
    ISSN: 0363-9061
    Keywords: Engineering ; Engineering General
    Source: Wiley InterScience Backfile Collection 1832-2000
    Topics: Architecture, Civil Engineering, Surveying , Geosciences
    Notes: The failure criterion for a special rate-type material is derived using a method similar to that of Tokuoka.7 For particular choices of constitutive parameters it is shown that this failure criterion contains, as special cases, failure criteria suggested in four recent works dealing with elastic-plastic response of granular media.
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  • 35
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    International Journal for Numerical and Analytical Methods in Geomechanics 3 (1979), S. 303-303 
    ISSN: 0363-9061
    Keywords: Engineering ; Engineering General
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  • 36
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    International Journal for Numerical and Analytical Methods in Geomechanics 3 (1979), S. 403-403 
    ISSN: 0363-9061
    Keywords: Engineering ; Engineering General
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  • 37
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    International Journal for Numerical and Analytical Methods in Geomechanics 1 (1977), S. 1-4 
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    International Journal for Numerical and Analytical Methods in Geomechanics 1 (1977), S. 57-74 
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    Notes: Some recently developed implicit time discretizations are discussed whose main application is to solving ordinary differential equations arising from finite element approximations to partial differential equations. Their theoretical properties, computer implementation and numerical behaviour, as observed in tests on simple examples, are compared with well-known discretizations such as the Crank-Nicholson method.
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    International Journal for Numerical and Analytical Methods in Geomechanics 1 (1977), S. 139-150 
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    Notes: In this paper a finite element formulation for a linear viscoelastic ageing material is developed. It is shown that these equations can be solved in the from of an eigenvalue expansion thus reducing the problem to the solution of a set of Volterra Integral equations. An alternative method of solution based on expansion in terms of an operator related to Poisson's ratio is also developed and this solution method is found to significantly reduce the computational effort necessary in the solution of aproblem.
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    International Journal for Numerical and Analytical Methods in Geomechanics 1 (1977) 
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    International Journal for Numerical and Analytical Methods in Geomechanics 1 (1977) 
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    International Journal for Numerical and Analytical Methods in Geomechanics 1 (1977), S. 45-55 
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    Notes: The stress field and flow characteristics are studied for a cavity with the shape of a prolate spheroid in dome salt with emphasis given to the excavation phase. A semi-empirical creep law is derived from thermodynamic principles and experimental results. In this paper, an elementary non-linear form is used in the kinetic relation. A finite element solution procedure is discussed which incorporates the creep law, excavation sequence, and arbitrary non-homogeneous initial stress field.
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  • 43
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    International Journal for Numerical and Analytical Methods in Geomechanics 1 (1977), S. 107-138 
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    Notes: A tow-dimensional finite difference wave propagation code was used to analyse the impact of a rigid, ogival-nosed penetrator with a target consisting of thin alternating layers of silt, sand, and clay. The response of the idealized target was described with an elastic-plastic constitutive model depending upon two stress invariants and the history of plastic deformation. Interfacial friction between the penetrator and target was assumed to be negligible.Comparisons are made of calculated results and those of nominally similar experiments conducted at the Watching Hill test site in Alberta, Canada. Analysis of these comparisons reveals that numerical methods like the one employed in this study can yield insight into penomena, as well as suggesting possible improvements in the calculation technique.
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    International Journal for Numerical and Analytical Methods in Geomechanics 1 (1977), S. 271-281 
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    International Journal for Numerical and Analytical Methods in Geomechanics 3 (1979), S. 106-106 
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  • 46
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    International Journal for Numerical and Analytical Methods in Geomechanics 3 (1979), S. 145-157 
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    Notes: This paper described a technique for obtaining three-dimensional mine design information using a two-dimensional finite element program where the mining geometry consists of an extensive array of underground rooms and pillars. The technique is based upon a simple augmentation of forces in a two-dimensional analysis to produce the same average pillar stress that would occur in a full three dimensional analysis. Detailed comparisons between a three-dimensional analysis, a two-dimensional analysis (plane stress and plane strain) and an augmented two-dimensional analysis (also plane stress and plane strain) of stress about a typical coal mine pillar are presented. A local factor of safety is defined and then mapped over the pillar midplane, the immediate roof and immediate floor using the results from the full three-dimensional analysis. Comparisons of roof and pillar safety factor distributions obtained by the three-dimensional, two-dimensional and augmented two-dimensional analyses show that the minimum safety factors in the pillar (at the pillar sides) are predicted quite closely by the augmented two-dimensional techniqe (plane stress). The same is true of the immediate roof, although the three-dimensional safety factor tends to be higher in the roof (over the room) than that calculated by the augmented twodimensional technique. The augmented loading procedure appears to hold considerable promise as a very efficient and cost reducing techniqe for mine pillar design.
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    International Journal for Numerical and Analytical Methods in Geomechanics 3 (1979) 
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    International Journal for Numerical and Analytical Methods in Geomechanics 3 (1979), S. 216-216 
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    International Journal for Numerical and Analytical Methods in Geomechanics 2 (1978), S. 329-342 
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    Notes: The paper presents an analytical study of the consolidation of a semi-infinite clay layer subjected to a shear load distributed over a rectangular area. Biot's theory is made use of, along with the three displacement functions suggested by Verruijt. A complex Fourier and Laplace transformation technique enables the solution to be obtained in terms of non-dimensional parameters. Settlements and pore pressures under the loaded area are evaluated for two types of surface drainage conditions. Extension of the solutions to point loads is also suggested. The Mandel-Cryer effect is seen in the behaviour of the pore pressure.
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    International Journal for Numerical and Analytical Methods in Geomechanics 3 (1979), S. 1-11 
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    Notes: The deflection of, and the pore pressure at, the surface of a saturated clay mass are computed by modelling the mass mathematically as a consolidationg half-space. Specifically, attention is focused on the effect of a surface cover which impedes, though does not entirely prevent, the flow of the pore water. A number of results of interest are reported, generalizing work reported earlier by McNamee and Gibson8.
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    International Journal for Numerical and Analytical Methods in Geomechanics 3 (1979), S. 13-22 
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    Notes: An effective solution procedure for the finite element analysis of free surface seepage problems is presented. The solution algorithm employs a non-linear permeability description of the material and avoids iteration with the finite element mesh. The results and experiences obtained in the analyses of some problems are presented to demonstrate the usefulness of the technique.
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    International Journal for Numerical and Analytical Methods in Geomechanics 3 (1979), S. 79-96 
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    Notes: A simple and analytical method of solving the problem of heat extraction from a penny-shaped crack having both inlet and outlet holes is developed by using a two-dimensional flow model when fluid is injected at a constant flow rate. Temperature distributions in both rock and fluid are obtained by taking into account the hydraulic and thermal growth of the crack. The outlet fluid temperature and energy extraction rate versus time are shown by some illustrative examples. Although the effect of thermal, contraction of rock upon the crack width is large, its influence upon flow rate and crack tip stress intensity factor is sufficiently small within the first several years so that the crack radius can be determined mainly by the mechanical deformation of, the rock.
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    International Journal for Numerical and Analytical Methods in Geomechanics 3 (1979), S. 131-143 
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    Notes: The results obtained from a loading test on a bored, cast-in-place pile instrumented with six pairs of load cells at different levels are compared with the results obtained from a non-linear finite element analysis based on the geotechnical parameters of the cohesive soils in which the pile was bored.Settlements computed using deformability parameters obtained by a standard laboratory test were much larger than the measured settlements. Satisfactory results are instead obtained assuming Ei=1000cu and cα=cu.The distribution of the vertical stresses within the pile and of the shear stresses in the soil adjacent to the pile obtained by the numerical analysis are compared with the measured values.A fair agreement is found at loads below failure but differences between experimental and computed values are found at loads close to failure.
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    International Journal for Numerical and Analytical Methods in Geomechanics 3 (1979), S. 187-203 
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    Notes: A general method is presented for the analysis of horizontally embedded anchors in an elastic soil. Provision is made in the analysis for the consideration of anchor shape, layer depth, anchor-soil interface condition, breakaway of the anchor from the underlying soil and interaction between groups of anchors.Application of the analytical technique is illustrated for strip and circular anchors, and these solutions are presented in the form of influence charts which may be used directly in hand calculations to predict the elastic load deflection behaviour, of anchor plates for a wide variety of material and geometric conditions.
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    International Journal for Numerical and Analytical Methods in Geomechanics 3 (1979), S. 205-211 
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    Notes: Recently, instability of slender piles during installation has been analysed as a non-conservative buckling process. For these results to be of potential use in practice, simple procedures are necessary whereby piles of arbitrary cross-section installed in ground with arbitrarily varying properties can be treated. This paper lists discrete element matrices which enable the prediction of the onset of instability in piles assuming conservative or non-conservative ground resistance. The same matrices can then be used to incorporate effects of incipient instability in driveability analyses.
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    International Journal for Numerical and Analytical Methods in Geomechanics 3 (1979), S. 285-292 
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    International Journal for Numerical and Analytical Methods in Geomechanics 3 (1979), S. 323-354 
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    Notes: Methods recommended for calculating the probability of failure of earth slopes, as distinct from factor of safety, are discussed. In particular the ‘Level II’ and ‘Level II’ approaches as defined by the Joint Committee of Structural Safety (J.C.S.S.) are referred to; these are set forth in C.I.R.I.A. Report No. 631 and attention is drawn to the contributions therein by M. J. Baker and M. Horne, and to how these considerations affect this particular problem. The mechanical model used throughout is Bishop's simplified method2.
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    International Journal for Numerical and Analytical Methods in Geomechanics 3 (1979), S. 381-401 
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    Notes: A numerical technique, based on a mathematical programming algorithm, is presented for the solution of geotechnical problems where elastic-plastic material behaviour is considered. The proposed approach can be adopted for geotechnical media characterized by any suitable yield condition, accounting, if necessary, for workhardening behaviour. The loading process is subdivided into a series of steps applied to a finite element mesh with geometry and material properties constant along each step, but with possible changes between subsequent steps. As an application some typical geotechnical problems are analysed by means of the proposed algorithm and a comparison is made between the available in situ measurements and the numerical results.
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    International Journal for Numerical and Analytical Methods in Geomechanics 2 (1978), S. 317-327 
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    Notes: One proposed geothermal heat extraction scheme relies on water circulation in a large vertical crack created by hydraulic fracturing in a hot dry impermeable rock mass. Water flow, heat convection and crack opening widths are analysed by finite elements. Governing field equations of the problem are first set up rigorously and then various small terms are identified and neglected, retaining the effects of pressure gradient, buoyancy, velocity head (kinetic energy) and head loss due to viscous friction in the water flow equation, and the effects of heat convection in water and heat conduction in rock in the heat transfer equation. The finite element scheme for water flow is based on a variational principle that is typical for diffusion problems, and for heat transfer it is based on the method of least-square residuals. The system of differential equations is highly non-linear. The non-linear terms and coefficients are treated in the fiaite element analysis as constant; the finite element analysisof, the steady-state pressures, fluxes and temperatures is then iterated, evaluating all non-linear terms and coefficients on the basis of the solution obtained in the previous iteration. Numerically calculated fields at various times after the start ofcooling are presented. They indicate some features favourable for the geothermal scheme, such as formation of eddy currents, and downward flux of water toward hotter rock. However, other important questions would have to be solved to gain full understanding, of this proposed geothermal scheme.
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    International Journal for Numerical and Analytical Methods in Geomechanics 2 (1978), S. 405-409 
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    Notes: A method is derived to estimate the degree of consolidation of a saturated, non-homogeneous clay layer. In this method, the diffusion equation govering the dissipation of pore water pressure is transformed so that the pore water pressure can be expressed by a Fourier series. The Fourier coefficients are then evaluated along the trajectory of the diffusion process. The Fourier series does not converge point-wise to the pore water pressure; instead, it converges to the pore water pressure in the mean., The Fourier series can be used to estimate the degree of consolidation, because, by Schwartz's inequality, convergence in the mean implies convergence in the degree of consolidation.
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    International Journal for Numerical and Analytical Methods in Geomechanics 3 (1979), S. 37-47 
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    Notes: An examination has been made of the behaviour of a finite layer of elastic material of constant Poisson's ratio, whose Young's modulus increases linearly with depth, and which rests on a rough rigid base. Values of surface settlement at the corner of a rectangular area of uniform loading are presented for values of Poisson's ratio of \documentclass{article}\pagestyle{empty}\begin{document}$ \frac{1}{2} $\end{document}, \documentclass{article}\pagestyle{empty}\begin{document}$ \frac{1}{3} $\end{document} and 0, and for wide ranges of degree of inhomogeneity and loading breadth to depth ratio.
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    International Journal for Numerical and Analytical Methods in Geomechanics 3 (1979), S. 105-105 
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    International Journal for Numerical and Analytical Methods in Geomechanics 3 (1979), S. 107-129 
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    Notes: A theoretical formulation and a numerical solution method are proposed for the problem of the time dependent consolidation of an elasto-plastic soil subject to finite deformations. The soil is assumed to be a two-phase material with a skeleton which may yield according to a general yield criterion with plastic flow governed by a general flow law, and whose pore fluid flows according to Darcy's Law. Governing equations are cast in a rate form and constitutive laws are expressed in a frame indifferent manner. The method of analysis is illustrated by several examples of practical interest for both a soil with an elastic skeleton and a soil with an elasto-plastic skeleton which obeys a Morh-Coulomb yield criterion and a non-associated flow law.
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    International Journal for Numerical and Analytical Methods in Geomechanics 3 (1979), S. 173-186 
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    Notes: A cap model algorithm and the associated FORTRAN subroutine, CAP, are presented. The algorithm lends itself to a wide range of soil and rock cap models, and can easily be incorporated into most dynamic codes. The routine permits the user to obtain flexibility with respect to changes in functional forms and parameters with minor coding changes.
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    International Journal for Numerical and Analytical Methods in Geomechanics 3 (1979), S. 213-215 
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    International Journal for Numerical and Analytical Methods in Geomechanics 1 (1977), S. 195-216 
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    Notes: The proposed general analytical model describes the anisotropic, elasto-plastic, path-dependent, stress-strain-strength properties of inviscid saturated clays under undrained loading conditions. The model combines properties of isotropic and kinematic plasticity by introducing the concept of a field of plastic moduli which is defined in stress space by the relative configuration of yield surfaces. For any loading (or unloading) history, the instantaneous configuration is determined by calculating the translation and contraction (or expansion) of each yield surface. The stress-strain behaviour of clays can thus be determined for complex loading paths and in particular for cyclic loadings. The stress-strain relationships are provided for use in finite element analyses. The model parameters required to characterize the behaviour of any given clay can be derived entirely from conventional triaxial or simple shear soil test results. The model's extreme versatility is demonstrated by using it to formulate the behaviour of the Drammen clay under both monotonic and cyclic loading conditions. The parameters are determined by using solely the results from monotonic and cyclic strain-controlled simple shear experimental tests, and the model's accuracy is evaluated by applying it to predict the results of other tests such as (1) cyclic stress-controlled simple shear tests, (2) monotonic triaxial loading compression and unloading extension tests, and (3) cyclic stress- and strain-controlled triaxial tests on, this same clay. The theoretical predictions are found to agree extremely well with the experimental test results.
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    International Journal for Numerical and Analytical Methods in Geomechanics 1 (1977), S. 319-319 
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    International Journal for Numerical and Analytical Methods in Geomechanics 1 (1977), S. 283-297 
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    Notes: The theory of variational inequalities enables us to formulate and solve free boundary problems in fixed domains, while most other methods assume the position of the unknown domain in solving the problem. Here the problem of seepage flow through a rectangular dam with a free boundary is formulated as a vertical inequality following the ideas of Baiocchi. In order to demonstrate the essential ideas of extending the domain of the solution of problems with free boundaries, the problem of the deflection, of a string on a rigid support is first examined. Next, variational inequalities are derived which are associated with several cases of seepage problems. An approximation theory, including a priori error estimates, is developed using finite element methods, and an associated numerical scheme is given. It is shown that for linear and quadratic finite element methods, the rates of convergence are 0(h) and 0(h1.25-δ), 0 〈 δ 〈 0.25, respectively, if the permeability is constant.
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    International Journal for Numerical and Analytical Methods in Geomechanics 1 (1977), S. 377-386 
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    Notes: The Polesine, a region in the northeast of Italy, has experienced considerable surface subsidence due to the withdrawal of water and gas from the underlying reservoir sediments. These settlements have been well documented and form the basis of a comparison study with a finite element consolidation model. It is shown that the model is capable of simulating the field behaviour during production and also after the closure of the wells.
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    International Journal for Numerical and Analytical Methods in Geomechanics 2 (1978) 
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    Keywords: Engineering ; Engineering General
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    International Journal for Numerical and Analytical Methods in Geomechanics 2 (1978), S. 95-95 
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    International Journal for Numerical and Analytical Methods in Geomechanics 2 (1978) 
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    International Journal for Numerical and Analytical Methods in Geomechanics 2 (1978), S. 95-96 
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    International Journal for Numerical and Analytical Methods in Geomechanics 2 (1978), S. i 
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    International Journal for Numerical and Analytical Methods in Geomechanics 2 (1978), S. 159-175 
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    Notes: The pressure acting on tunnel support structures generally increases with lapse in time. The pressure increase may be caused by not only the time-dependent mechanical properties of the underground medium, but also by the progression of the tunnel face. In order to clarify these two effects, three-dimensional analysis is required. In this study, however, a method which takes into account the three-dimensional effects of the tunnel face progression in two-dimensional plane strain analyses is proposedby introducing the ‘equivalent intial stress’. The proposed method can be easily applied to time-dependent analyses of the behaviour of tunnel support structures installed in a visco-elastic medium.The tunnels considered here are circular in shape, being driven in homogeneous isotropic linear visco-elastic media having hydrostatic initial stresses.In the first part of this paper, detailed discussions of the proposed equivalent initial stress are given. The second deals with the mathematical formulations for obtaining closed-form solutions for the pressure acting on tunnel support structures. In the third, numerical results and discussions are given, and special attetion is paid to the effects of both the time-dependent mechanical properties of the material and the tunnel face progression. Finally, the theoretical results obtained here are utilized for interpretation of field measurements.
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    International Journal for Numerical and Analytical Methods in Geomechanics 2 (1978), S. 255-282 
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    Keywords: Engineering ; Engineering General
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    Notes: A continuum representation for soil which incorporates the concepts of hypoelasticity and critical state theory is proposed. General, three-dimensional constitutive equations are formulated to relate specific volume, stress, rate of deformation and rate of change of stress, resulting in a mathematical material model which exhibits phenomenological features typical of soil response. The general constitutive equations are specialized to represent the particular cases of isotropic compression, constant, volume deformation, uniaxial compression and biaxial deformation. Methods are suggested for determining the model parameters to represent a specific soil using conventional triaxial test data. Comparisons of stress-strain response with published experimental data are shown.
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    International Journal for Numerical and Analytical Methods in Geomechanics 2 (1978), S. 223-235 
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    Notes: The finite element method, formulated for non-linear heat conduction, allows the solution of practically any ground freezing problem. Stabilization of wet soils by artificial freezing and freezing under roads induced by cold winter conditions are considered in this paper.Special features of the program used include parabolic isoparametric elements, a new time stepping scheme and an improved procedure for the estimation of thermal properties.
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    International Journal for Numerical and Analytical Methods in Geomechanics 2 (1978), S. 367-379 
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    Notes: An analytical solution is presented for the stress and strain fields in a Mohr-Coulomb material in plane strain around a circular hole when it is compressed by an axisymmetric far-field pressure. It is shown that several solutions arise involving one to three plastic zones depending on the values of Poisson's ratio and the friction angle. The solution chosen for presentation was obtained and used to validate the functioning of the Mohr-Coulomb yield condition that was added to the NONSAP finite element code. Stress and strain field comparisons are made.
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    International Journal for Numerical and Analytical Methods in Geomechanics 1 (1977), S. 5-23 
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    International Journal for Numerical and Analytical Methods in Geomechanics 1 (1977), S. 75-103 
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    Notes: A series of finite element analyses were performed to study the behaviour of a system of two parallel and adjacent tunnels. Various sequences of excavation of the two tunnels and installation of tunnel liners have been simulated in the analyses. Influence of various parameters on the behaviour of the two parallel tunnels has been investigated. The important parameters considered in this study are: the width of the pillar separating the two tunnels; the tunnel depth; support condition; sequence of excavation; and, to some extent, the influence of plastic yielding in the medium surrounding the two tunnels.
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    International Journal for Numerical and Analytical Methods in Geomechanics 1 (1977), S. 177-194 
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    Notes: Several finite element schemes for analysis of seepage in porous elastic media, based on different spatial and temporal discretization, were implemented in computer programs. Their numerical performance is evaluated by comparison with the exact solution for Terzaghi's problem of one-dimensional consolidation.
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    International Journal for Numerical and Analytical Methods in Geomechanics 1 (1977), S. 219-247 
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    Keywords: Engineering ; Engineering General
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    Notes: A new model for rocks and rock-like material with multiple planes of weakness is proposed. The behaviour of the assembly applies tensile and Mohr-Coulomb shear limits on each such plane with possible strain dependence of frictional properties. The visco-plastic algorithm which allows the incorporation of time effects is used to obtain static solutions.The model is illustrated in actual context by applications to stability of rock slopes and behaviour of tunnels.A generalization of the model to include arbitrary three-dimensional distribution of laminae in ‘quasi-plane strain’ is included. The effect of various flow rules adopted for plastic straining is indicated.
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    International Journal for Numerical and Analytical Methods in Geomechanics 3 (1979) 
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    International Journal for Numerical and Analytical Methods in Geomechanics 3 (1979), S. 355-366 
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    Notes: Two finite difference algorithms suitable for long-time simulation of the exploitation of a two-phase geothermal reservoir are presented. One is based on the hopscotch method proposed by Saul'yev1 and analysed further by Gordon2 and Gourlay.3 The other is based on the well-known ADI method. Both methods use a Newton-Raphson iterative technique in order to obtain accurate solutions of the non-linear difference equations involved. Rapid convergence of the iterative schemes occurs both for single-phase and two-phase reservoir problems. One- and two-dimensional model problems are presented.
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    International Journal for Numerical and Analytical Methods in Geomechanics 3 (1979), S. 367-379 
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    Notes: The present study pertains to the finding of the lower bound solution, formulating it as a non-linear programming problem using the generalized method developed by Lysmer with certain variations to incorporate the non-linear no-yield condition constraints directly in the analysis. The method considers the family of plane stress fields having the property that all stresses vary linearly within each triangular element of some mesh which covers the soil mass under study. For this type of stress field it is possible to express all equilibrium conditions as a set of linear constraints and the no-yield as a set of non-linear constraints. The boundary condition constraints may be of linear equality or inequality type. By expressing some of the design variables in terms of the remaining variables the linear equality constraints are implicity satisfied. Such a technique minimizes the complexity of the problem by eliminating the equality constraints and reduces the dimensionality of the problem, saving much, computational effort. The optimal lower bound is isolated by formulating it as a non-linear programming (NLP) problem subjected to both linear and non-linear inequality constraints. The sequential unconstrained minimization technique using the extended penalty function method as suggested by Kavlie has been used to isolate the optimal lower bound. The method has successfully been applied to the passive earth pressure and bearing capacity problem.Numerical results are obtained and compared with Lysmer's solution to show the effectiveness of the present approach.
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    International Journal for Numerical and Analytical Methods in Geomechanics 2 (1978), S. 200-200 
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    International Journal for Numerical and Analytical Methods in Geomechanics 3 (1979), S. 255-278 
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    Notes: Although there is a large number of constitutive models for sand available in the literature it is believed that a fresh approach, striking a balance between complexity and theoretical rigour, is desirable.The approach here has certain conceptual links with the Cam Clay series of elastic-plastic models, but includes the more general starting assumption that the yield function, plastic potential and failure locus should be given quite distinct mathematical expressions. Possible physical bases for the proposed forms are discussed.Ways in which the parameters required to define the model may be determined are suggested and the use of the model is then demonstrated. Firstly, it is shown that, where a limited set of experimental data is available, the model is flexible enough to be able to match the test results. Secondly, it is shown that, where a wide range of test results has been produced, it is possible to determine the model constitutive parameters from a small number of tests and proceed to make satisfactory predictionsfor other, quite different, types of test.The model is developed for sand at a single initial density, but the way in which the constitutive parameters might be expected to vary with density is discussed. The model is described for conditions of triaxial compression, and extension to more general stress states will be needed before it can be put to the test of incorporation in, for example, a finite element program.
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    International Journal for Numerical and Analytical Methods in Geomechanics 3 (1979), S. 301-302 
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    International Journal for Numerical and Analytical Methods in Geomechanics 3 (1979), S. 305-322 
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    Notes: The disturbance of a clay mass, due to either the installation of a driven pile or the expansion of a pressuremeter membrane, is often modelled as a cylindrical cavity expansion. In addition, it is usual (and convenient) to assume that the expansion occurs under conditions of plane strain. For this problem a method of analysis is presented which considers the soil to be a saturated two-phase material with a pore fluid which flows according to Darcy's Law. Non-linearity in material behaviour is permitted as long as the effective stress-strain law can be written in an incremental or rate form. The use of a consolidation analysis allows the changes in effective stress and pore pressure to be determined at any stage during both the cavity expansion and the subsequent period of reconsolidation. Expansions may occur at any prescribed rate, including the very fast (undrained) and the very slow (fully drained) case. The technique is illustrated by considering the expansion of a cavity in two different types of elastoplastic soil. It is shown how these solutions may be used to model the disturbance of the soil due to pile driving.
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    International Journal for Numerical and Analytical Methods in Geomechanics 3 (1979), S. 245-254 
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    Keywords: Engineering ; Engineering General
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    Notes: A ‘mixed method’ for the dynamic calculation of foundations on soil is presented. The half-space is computed analytically, the foundation with finite elements. The method is very well suited for the solution of three-dimensional problems including interaction. Numerical results for a simple case involving a dynamically loaded elastic plate are presented and the influence of plate stiffness is studied.
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    International Journal for Numerical and Analytical Methods in Geomechanics 3 (1979), S. 231-243 
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    Notes: The conventional use of the shear vane test is primarily restricted to the in-situ measurement of the undrained shear strength characteristics of saturated cohesive soils. Scant attention has been devoted to the use of this test as a means of measuring further properties of geotechnical interest. This paper presents an analytical study which illustrates the possible use of a shear vane test as a technique for the measurement of in-situ deformability characteristics of a soil medium. Certain plausible assumptions have been invoked for the analytical treatment of the shear vane problem. The vane blades are represented as elliptical shapes, the soil disturbance associated with the vane penetration is neglected and the soil mass enclosedwithin the swept boundary of the vane is represented as a rigid region. These, together with assumptions of classical isotropic elastic soil behaviour, enable the development of certain exact solutions for the torque-twist relationships of vanes fully or, partially embedded in the soil. The results indicate that the elastic deformability characteristics of a soil medium can be directly recovered from an examination of the initial stages of an experimental torque-twist curve. In particular, the measured parameter would correspond to the linear elastic shear modulus of the soil medium.
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    International Journal for Numerical and Analytical Methods in Geomechanics 1 (1977), S. 299-318 
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    Keywords: Engineering ; Engineering General
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    Topics: Architecture, Civil Engineering, Surveying , Geosciences
    Notes: This paper presents a rational approach to the finite strain analysis of elastic-plastic materials. An updated incremental finite element technique was applied to problems of shallow foundations of homogeneous as well as multilayer soils. This was based on a variational principle which is suitable for such problems.
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    International Journal for Numerical and Analytical Methods in Geomechanics 2 (1978), S. 237-253 
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    Notes: Stability equations for a strain-softening system are derived from expressions describing the energy variation in a variable stiffness stiff testing machine and a brittle rock specimen. A normal strain-softening expression and a shear strain-softening expression are derived to predict the stability of laboratory tests on brittle rocks, which through machine stiffness adjustment, exhibited critical stability in the strain-softening range. From these comparisons it was found that the shear strain-softening model gave consistently good results. The analytical and laboratory modelling indicates that strain-softening in brittle geologic media is closely connected with joints, faults, and interfaces where shear distortions take place.
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    International Journal for Numerical and Analytical Methods in Geomechanics 2 (1978), S. 311-314 
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    Keywords: Engineering ; Engineering General
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    International Journal for Numerical and Analytical Methods in Geomechanics 2 (1978), S. 343-366 
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    Keywords: Engineering ; Engineering General
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    Notes: Reinforced earth in plane strain is idealized as a homogeneous material with the strips attached to the elastic soil matirx by a conceptual shear zone. A ‘no-slip’ finite element model is derived by assigning a large shear modulus to the shear zone. Relaxation of this modulus using a tangential stiffness algorithm in conjunction with a Mohr-Coulomb strip-slip criterion allows slipping to be simulated.The finite element formulation is validated and the finite element discretization assessed by comparisons against exact solutions for a simple test problem.An idealized reinforced earth wall example is used to demonstrate the feasibility of the method and to answer the question: ‘is slipping significant?’ The method is shown to be potentially useful, and slipping is shown to be significant.
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    International Journal for Numerical and Analytical Methods in Geomechanics 3 (1979) 
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    International Journal for Numerical and Analytical Methods in Geomechanics 3 (1979), S. 23-36 
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    Notes: Two-dimensional seepage from an array of triangular channels into permeable soil underlain at a finite depth by a drain has been solved by using the Baiocchi method. The use of this approach allowed a simple formulation of the seepage problem through extension of the solution region to an a priori known region. The new problem was treated numerically by using the S.O.R. method combined with projection. This technique proved to be very accurate when compared with analytical results and efficient from a computer programming standpoint.
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    International Journal for Numerical and Analytical Methods in Geomechanics 3 (1979), S. 97-103 
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    Keywords: Engineering ; Engineering General
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    International Journal for Numerical and Analytical Methods in Geomechanics 3 (1979), S. 49-62 
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    Keywords: Engineering ; Engineering General
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    Topics: Architecture, Civil Engineering, Surveying , Geosciences
    Notes: In a previous paper it was established with very simple assumptions that piles might undergo a directional instability during placement, of a type more usually found in aerodynamic problems. The study is here extended to piles driven into soils whose shear strength and lateral reaction modulus can vary with depth. The analysis consists of a parametric study of the effect of linear variation of the soil parameters with depth on the critical lengths for instability, and a comparison of site evidence with the critical lengths obtained from a stepwise-constant representation of the variation of soil parameters with depth. The theory is shown to give very reasonable estimates of the depths at which major deviation starts, although there is a pressingneed for more detailed site and laboratory data.
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