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  • 101
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    International Journal for Numerical and Analytical Methods in Geomechanics 4 (1980), S. i 
    ISSN: 0363-9061
    Keywords: Engineering ; Engineering General
    Source: Wiley InterScience Backfile Collection 1832-2000
    Topics: Architecture, Civil Engineering, Surveying , Geosciences
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  • 102
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    International Journal for Numerical and Analytical Methods in Geomechanics 4 (1980), S. 199-213 
    ISSN: 0363-9061
    Keywords: Engineering ; Engineering General
    Source: Wiley InterScience Backfile Collection 1832-2000
    Topics: Architecture, Civil Engineering, Surveying , Geosciences
    Notes: A numerical technique called Summary Representation was used to solve the problem of seepage through a leaky sheetpile; this particular method was selected owing to its accuracy and computational speed. Seepage parameters were evaluated quantitatively and the influence of the leakiness of sheetpiles in a porous medium underlain by an impervious horizontal stratum was determined. The case of a single sheetpile was first considered, and the effect of the depth of penetration and coefficient of leakiness on the total rate of flow and on the values of the exit gradient was analysed. Next, the flow under an impervious dam was considered to assess the accuracy of the method. Finally, the case of seepage under a dam with leaky sheetpiles at both ends was studied, including the effect of the leaky sheetpiles on the uplift pressure acting along the foundation of the dam. Patterns of seepage through the flow line deformation that is caused by the leakiness of the sheetpiles.
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  • 103
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    International Journal for Numerical and Analytical Methods in Geomechanics 4 (1980), S. 285-289 
    ISSN: 0363-9061
    Keywords: Engineering ; Engineering General
    Source: Wiley InterScience Backfile Collection 1832-2000
    Topics: Architecture, Civil Engineering, Surveying , Geosciences
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  • 104
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    International Journal for Numerical and Analytical Methods in Geomechanics 7 (1983), S. i 
    ISSN: 0363-9061
    Keywords: Engineering ; Engineering General
    Source: Wiley InterScience Backfile Collection 1832-2000
    Topics: Architecture, Civil Engineering, Surveying , Geosciences
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  • 105
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    International Journal for Numerical and Analytical Methods in Geomechanics 7 (1983), S. 209-223 
    ISSN: 0363-9061
    Keywords: Engineering ; Engineering General
    Source: Wiley InterScience Backfile Collection 1832-2000
    Topics: Architecture, Civil Engineering, Surveying , Geosciences
    Notes: This paper examines the interaction between a rigid circular foundation resting in smooth contact with an isotropic elastic halfspace and a concentrated surface load which acts at a finite distance from the foundation. Owing to the action of the external load the rigid foundation experiences an extra settlement and a tilt. The expressions for the extra settlement and the tilt are evaluated in exact closed form. It is also shown that these deformations due to the external load satisfy Betti's reciprocal theorem. The auxiliary solution required for the application of the reciprocal theorem is derived from the analysis of the problem of a rigid circular foundation resting in smooth contact with an elastic medium and subjected to an eccentric load. The, results developed for the interaction between the rigid circular foundation and the external concentrated load are utilized to generate, among others, solutions for the settlement and tilt induced at a rigid foundation due to its interaction with uniformly or non-uniformly distributed loads with circular and square plan shapes.
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  • 106
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    International Journal for Numerical and Analytical Methods in Geomechanics 7 (1983), S. 283-285 
    ISSN: 0363-9061
    Keywords: Engineering ; Engineering General
    Source: Wiley InterScience Backfile Collection 1832-2000
    Topics: Architecture, Civil Engineering, Surveying , Geosciences
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  • 107
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    International Journal for Numerical and Analytical Methods in Geomechanics 5 (1981), S. 1-14 
    ISSN: 0363-9061
    Keywords: Engineering ; Engineering General
    Source: Wiley InterScience Backfile Collection 1832-2000
    Topics: Architecture, Civil Engineering, Surveying , Geosciences
    Notes: Finite element solutions of consolidation problems often exhibit oscillating pore pressures, which tend to increase when the time steps are reduced. This phenomenon is investigated and a lower limit for the time steps is derived, in terms of the mesh size and the coefficient of consolidation near the draining boundary.
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  • 108
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    International Journal for Numerical and Analytical Methods in Geomechanics 5 (1981), S. 79-96 
    ISSN: 0363-9061
    Keywords: Engineering ; Engineering General
    Source: Wiley InterScience Backfile Collection 1832-2000
    Topics: Architecture, Civil Engineering, Surveying , Geosciences
    Notes: Measurements are conducted with small samples in the laboratory and thus for all practical purposes the medium is macroscopically homogeneous. On the other hand, the uncertainties and the irregular changes in situ are macroscopic inhomogeneities. This work is an attempt to account for these stochastic changes in the elastic properties and density in a rational manner. The method used is that of Karal and Keller which is based on the use of the Green's function and neglect of third-order correlations. The resulting integral equations are solved by Laplace transform. The analysis indicates that the energy decay in the mean motion through random mode coupling introduces damping into even a purley'elastic medium and enhances the damping in a significant manner in a hysteretic viscoelastic medium. This consideration is important in relating the damping and dispersion characteristics of wave in situ to those measured in the laboratory. The formulation is extended to multilayer systems through transfer matrices and to arbitrary inputs by Fourier transform. Sample calculations are presented for single and multilayer systems to obtain response spectra and for the response to Gaussian and actual earthquake input motions.
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  • 109
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    International Journal for Numerical and Analytical Methods in Geomechanics 5 (1981), S. 97-113 
    ISSN: 0363-9061
    Keywords: Engineering ; Engineering General
    Source: Wiley InterScience Backfile Collection 1832-2000
    Topics: Architecture, Civil Engineering, Surveying , Geosciences
    Notes: Elastic wave radiation from an equivalent cylindrical cavity due to an underground explosion is considered in detail. Both static and steady state dynamic finite element models are used to investigate the surface displacements due to the interaction of such wave radiation with both the free surface topography and stope formation. For a blast 430 m below the surface the models predict a negligible displacement effect due to the irregular topography but a significant effect due to the stope. A comparison between the models and a site experiment verified the cylindrical wave nature of the problem. Due to experimental uncertainties however it was difficult to clearly detect the surface displacement effect due to the large underground open stope.
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  • 110
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    International Journal for Numerical and Analytical Methods in Geomechanics 5 (1981), S. 177-193 
    ISSN: 0363-9061
    Keywords: Engineering ; Engineering General
    Source: Wiley InterScience Backfile Collection 1832-2000
    Topics: Architecture, Civil Engineering, Surveying , Geosciences
    Notes: Heated salt mine room and pillar simulations have been performed to provide information regarding parameters affecting room closure rates to designers of radioactive waste isolation facilities. A coupled secondary creep and heat transfer formulation with large strain capabilities was used to assess the effects of variations in creep law parameters, thermal properties, imposed boundary conditions, temporal integration and meshing resolution on room closure rates. Results indicate that the greatest effect results from variations in parameters appearing in the creep constitutive equation.
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  • 111
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    International Journal for Numerical and Analytical Methods in Geomechanics 5 (1981), S. 217-224 
    ISSN: 0363-9061
    Keywords: Engineering ; Engineering General
    Source: Wiley InterScience Backfile Collection 1832-2000
    Topics: Architecture, Civil Engineering, Surveying , Geosciences
    Notes: For non-linear dynamic problems, it has been recognized that an explicit time-integration method of approach is a very efficient way of solving the dynamic equations of motion. The numerical formulation and computation for such problems fall into the two general categories of finite elements and finite differences. Over the years, there have been many arguments between schools which adopt the finite element approach and those which adopt the finite difference approach. At one extreme, arguments areconcerned with the superiority of each approach and at the other end of the spectrum the arguments are about which approach is a subset of the other. The most common of these arguments are concerned with efficiency and accuracy. This publication addresses the accuracy issue with specific reference to explicit calculations in which the analysis domain is discretized into triangular or quadrilateral plane-strain elements. It concludes that if the same basic assumptions are made in the two approaches, they, will give identical answers for problems in this category.
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  • 112
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    International Journal for Numerical and Analytical Methods in Geomechanics 7 (1983) 
    ISSN: 0363-9061
    Keywords: Engineering ; Engineering General
    Source: Wiley InterScience Backfile Collection 1832-2000
    Topics: Architecture, Civil Engineering, Surveying , Geosciences
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  • 113
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    International Journal for Numerical and Analytical Methods in Geomechanics 7 (1983), S. 419-433 
    ISSN: 0363-9061
    Keywords: Engineering ; Engineering General
    Source: Wiley InterScience Backfile Collection 1832-2000
    Topics: Architecture, Civil Engineering, Surveying , Geosciences
    Notes: This paper presents the complete formulation for the application of the Boundary Element Method to solve non-tension material problems. The formulation is based on including an extra term due to an initial stress field into the boundary integral statement. This is then used to iterate the solution until a state of non-tension is achieved. The resulting iteration process is very simple to apply and basically consists only of a single matrix-vector product. The applications show that accurate resultscan be obtained for boundary discretizations involving a small number of unknowns. Whenever possible, results are compared with analytical solutions or finite elements.
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  • 114
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    International Journal for Numerical and Analytical Methods in Geomechanics 7 (1983), S. 499-499 
    ISSN: 0363-9061
    Keywords: Engineering ; Engineering General
    Source: Wiley InterScience Backfile Collection 1832-2000
    Topics: Architecture, Civil Engineering, Surveying , Geosciences
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  • 115
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    International Journal for Numerical and Analytical Methods in Geomechanics 8 (1984), S. 399-407 
    ISSN: 0363-9061
    Keywords: Engineering ; Engineering General
    Source: Wiley InterScience Backfile Collection 1832-2000
    Topics: Architecture, Civil Engineering, Surveying , Geosciences
    Notes: A simple and effective extension to the boundary element method for solving Laplace'S equation (∇2u = 0) for boundary value problems is presented to solve steady confined and (or) steady unconfined seepage problems in zoned anisotropic mediums. Sample problems indicating the accuracy of results are given.
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  • 116
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    International Journal for Numerical and Analytical Methods in Geomechanics 8 (1984), S. 411-426 
    ISSN: 0363-9061
    Keywords: Engineering ; Engineering General
    Source: Wiley InterScience Backfile Collection 1832-2000
    Topics: Architecture, Civil Engineering, Surveying , Geosciences
    Notes: Circular ring footings on an elastic stratum are considered. The static and dynamic stiffnesses are calculated using an efficient numerical technique. The results indicate that the static torsional and rocking stiffnesses of a ring footing do not deviate significantly from the corresponding stiffness of the circular footing for values of the inner-radius-to-outer-radius ratio up to about 0.75. The static horizontal and vertical stiffnesses change considerably only for values of this ratio greater than about 0.60. The change in the stiffness and damping coefficients is small for values of the ratio between 0 and 0.5.
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  • 117
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    International Journal for Numerical and Analytical Methods in Geomechanics 8 (1984), S. 101-123 
    ISSN: 0363-9061
    Keywords: Engineering ; Engineering General
    Source: Wiley InterScience Backfile Collection 1832-2000
    Topics: Architecture, Civil Engineering, Surveying , Geosciences
    Notes: We employ a finite element method to consider the numerical solution of Aifantis' equations of double porosity.1-5 The physical and mathematical foundations of the theory of double porosity were considered in two previous papers, 6,7 where analytical solutions of the relevant equations are also given. For practical purposes and for the completeness of the presentation, we re-derive the basic equations without resorting to the more rigorous scheme of multiporosity theory.1-6 Instead, we follow the more familiar approach of Biot8,9 which we now extend from the case of single porosity to the case of double porosity. Then a general finite element formulation of the relevant eqations is thoroughly discussed and explicitly described for the two-dimensional case where four-node rectangular non-conforming isoparametric elements are employed. Three numerical examples are presented in detail to illustrate the method and assess the differences between single and double porosity models in consolidation.
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  • 118
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    International Journal for Numerical and Analytical Methods in Geomechanics 8 (1984), S. 359-379 
    ISSN: 0363-9061
    Keywords: Engineering ; Engineering General
    Source: Wiley InterScience Backfile Collection 1832-2000
    Topics: Architecture, Civil Engineering, Surveying , Geosciences
    Notes: The most flexible and generally applicable methods for elasto-plastic analysis are those based on an incremental-iterative form of the initial stress approach, but such methods often exhibit slow convergence. The acceleration procedure known as the alpha-constant stiffness method is reconsidered and some modifications are proposed. The principal difference in the present approach lies in the use of a single acceleration parameter, rather than a diagonal matrix of acceleration coefficients. The new scheme shows a significant improvement in numerical stability and converges three times faster than the standard initial stress method. Some practical aspects associated with the method are discussed and a number of applications are presented.
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  • 119
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    International Journal for Numerical and Analytical Methods in Geomechanics 8 (1984), S. 381-398 
    ISSN: 0363-9061
    Keywords: Engineering ; Engineering General
    Source: Wiley InterScience Backfile Collection 1832-2000
    Topics: Architecture, Civil Engineering, Surveying , Geosciences
    Notes: The general forms for the field equations governing the transient response of poroelastic media given by Biot and by Zienkiewicz are compared and relations between the material constants are obtained. A one-dimensional analytical solution is presented for the situation where the solid and fluid materials satisfy Biot'S dynamic compatibility relation. The transient response of porous media is illustrated for varying degrees of solid and fluid compressibility when subjected to step, cyclic and short duration spike surface tractions. The results obtained (for the special situation where the materials are dynamically compatible) exhibit the overall characteristics of wave propagation in porous media and will provide representative test problems which allow a quantitative evaluation of the accuracy of various numerical solution methods (e.g. finite element models).
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  • 120
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    International Journal for Numerical and Analytical Methods in Geomechanics 8 (1984) 
    ISSN: 0363-9061
    Keywords: Engineering ; Engineering General
    Source: Wiley InterScience Backfile Collection 1832-2000
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  • 121
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    International Journal for Numerical and Analytical Methods in Geomechanics 8 (1984), S. 457-471 
    ISSN: 0363-9061
    Keywords: Engineering ; Engineering General
    Source: Wiley InterScience Backfile Collection 1832-2000
    Topics: Architecture, Civil Engineering, Surveying , Geosciences
    Notes: A rheological model which is able to explain the delayed failure phenomenon has been proposed and applied to the analysis of the time dependent behaviour of deep tunnels. The model is the three element Voigt type before yielding and becomes the five element Voigt type after yielding. This means that the stiffness of the model is decreased by yielding. It is assumed that the yielding takes place when the stored elastic energy density of distortion reaches a certain maximum value. Some experiments to determine material constants are proposed. The numerical results clearly exhibited a delayed failure state of the rock masses around the tunnel surface. It was found that the extension of the yielding zone due to tunnel excavation depends on the opening method.
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  • 122
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    International Journal for Numerical and Analytical Methods in Geomechanics 8 (1984), S. 503-509 
    ISSN: 0363-9061
    Keywords: Engineering ; Engineering General
    Source: Wiley InterScience Backfile Collection 1832-2000
    Topics: Architecture, Civil Engineering, Surveying , Geosciences
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  • 123
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    International Journal for Numerical and Analytical Methods in Geomechanics 6 (1982), S. 277-286 
    ISSN: 0363-9061
    Keywords: Engineering ; Engineering General
    Source: Wiley InterScience Backfile Collection 1832-2000
    Topics: Architecture, Civil Engineering, Surveying , Geosciences
    Notes: A continuum finite element formulation that models the failure of a rock mass, the collapse of this rubble into a void space and the associated bulking of the rubble is presented. This formulation is incorporated into a finite element computer program that treats the large deformation non-linear motion of axisymmetric and two-dimensional continua. A dynamic relaxation procedure is used for the solution algorithm. Example calculations are given that demonstrate the formulation.
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  • 124
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    International Journal for Numerical and Analytical Methods in Geomechanics 6 (1982), S. 323-338 
    ISSN: 0363-9061
    Keywords: Engineering ; Engineering General
    Source: Wiley InterScience Backfile Collection 1832-2000
    Topics: Architecture, Civil Engineering, Surveying , Geosciences
    Notes: It is the objective of this note critically to assess the merits and shortcomings of two-surface and multi-surface plasticity theories.
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  • 125
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    International Journal for Numerical and Analytical Methods in Geomechanics 6 (1982), S. 391-391 
    ISSN: 0363-9061
    Keywords: Engineering ; Engineering General
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  • 126
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    International Journal for Numerical and Analytical Methods in Geomechanics 6 (1982), S. 392-392 
    ISSN: 0363-9061
    Keywords: Engineering ; Engineering General
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  • 127
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    International Journal for Numerical and Analytical Methods in Geomechanics 6 (1982), S. 409-424 
    ISSN: 0363-9061
    Keywords: Engineering ; Engineering General
    Source: Wiley InterScience Backfile Collection 1832-2000
    Topics: Architecture, Civil Engineering, Surveying , Geosciences
    Notes: The factor of safety used in designing pile foundations for vertical load should depend on three things, prior information on load capacity summarized by empirical correlations with load capacity models, site specific information derived from load tests, and an objective function reflecting economic and safety considerations. A statistical approach to factor of safety selection was developed in order to suggest improvements of current standards for driven pile design. This approach recognizes a distinction between the variability of pile load capacity within individual sites, and the global variability upon which model correlations are based. Charts have been prepared for determining the FS required to achieve specified reliability indices, as a function of the number of load tests at a particular site and their outcomes.
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  • 128
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    International Journal for Numerical and Analytical Methods in Geomechanics 6 (1982), S. 461-481 
    ISSN: 0363-9061
    Keywords: Engineering ; Engineering General
    Source: Wiley InterScience Backfile Collection 1832-2000
    Topics: Architecture, Civil Engineering, Surveying , Geosciences
    Notes: This paper draws attention to the great influence certain types of discontinuities in foundation rock masses can have on dam design. By means of two practical examples, the role of numerical procedures in the solution of stability and deformation problems posed by foundation heterogeneities is discussed and emphasized. Some basic theoretical considerations regarding the limit-states and the concept of safety to be used in dam design are also presented as a complement to the analyses description.The case of the Ãgua Vermelha dam, recently built in southern Brazil, is the subject of the first example. Here, a major joint in the basaltic foundation was the decisive geological feature for the stability analyses which were performed by means of the finite element method. The second example refers to the Itaipu dam, a record-breaking Brazilian-Paraguayan hydroelectric development. Marked sub-horizontal discontinuities between lava flows, greatly reducing the strength and stiffness of the basaltic rock masses, were of main concern in this case. The results of the foundation studies, with due help of numerical procedures, called for the construction of concrete shear keys, in order to achieve a satisfactory margin of structural safety.
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  • 129
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    International Journal for Numerical and Analytical Methods in Geomechanics 7 (1983), S. i 
    ISSN: 0363-9061
    Keywords: Engineering ; Engineering General
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  • 130
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    Notes: Mathematical concepts of statistical mechanics are use here to formulate the problem of microcrack kinetics. A stochastic distribution function is defined to characterize some modelling parameters of microcracks. This formalism results in an integral-differential equation of the Boltzmann type. A functional form for the microcrack production rate is imposed to model dilatancy and failure under shear-loading histories. This simple model illustrates some concepts of this theoretical approach.
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  • 131
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    International Journal for Numerical and Analytical Methods in Geomechanics 8 (1984), S. 125-140 
    ISSN: 0363-9061
    Keywords: Engineering ; Engineering General
    Source: Wiley InterScience Backfile Collection 1832-2000
    Topics: Architecture, Civil Engineering, Surveying , Geosciences
    Notes: An analytical solution for rapid (undrained) expansion of a long cylindrical cavity from initially zero radius is presented. A simple rate-type soil model possessing the salient features of the modified Cambridge critical state model is used. Application of the solution to determination of the stress field surrounding a pile immediately after driving is discussed.
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  • 132
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    International Journal for Numerical and Analytical Methods in Geomechanics 8 (1984), S. 259-286 
    ISSN: 0363-9061
    Keywords: Engineering ; Engineering General
    Source: Wiley InterScience Backfile Collection 1832-2000
    Topics: Architecture, Civil Engineering, Surveying , Geosciences
    Notes: A large proportion of the constitutive models currently employed in Geomechanics are based on the theory of plasticity. Owing to the limitations of the data obtained from conventional testing equipment, arbitrary assumptions are often made about the behaviour of the material in generalized stress space.In this paper it is shown that the Lode angle of the stress state at failure in plane strain deformation is dependent on the shape adopted for the plastic potential. The influence of the shape of the plastic potential in the deviatoric plane on the predicted behaviour of two boundary value problems both prior to and at failure is then considered. In both cases a form of the Modified Cam Clay model is employed to describe the soil behaviour, and numerical predictions are obtained using a finite element computer code. For drained situations it is shown that the Lode angle of the stress state at failure has a dominating influence on the predicted behaviour. However, for undrained cases the effects are not so important as long as the correct undrained strength at failure is enforced.
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  • 133
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    International Journal for Numerical and Analytical Methods in Geomechanics 8 (1984), S. 297-303 
    ISSN: 0363-9061
    Keywords: Engineering ; Engineering General
    Source: Wiley InterScience Backfile Collection 1832-2000
    Topics: Architecture, Civil Engineering, Surveying , Geosciences
    Notes: A variational principle and the corresponding finite element equations for determination of the stream function for soil seepage problems is given using the standard finite element potential solution as data. The procedure is very simple and independent of the element type employed. Generalization of the method to multiply connected domains is included.
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  • 134
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    International Journal for Numerical and Analytical Methods in Geomechanics 8 (1984), S. 325-342 
    ISSN: 0363-9061
    Keywords: Engineering ; Engineering General
    Source: Wiley InterScience Backfile Collection 1832-2000
    Topics: Architecture, Civil Engineering, Surveying , Geosciences
    Notes: An analytical solution is presented for the time-dependent stresses and displacements in plane strain around a circular hole when it is loaded by an axisymmetric internal and far-field pressure. The material is assumed to be elasto-viscoplastic with dilatant plastic deformations according to a non-associated flow rule. Strain softening is considered by a modified St. Venant slider which is characterized by Mohr-Coulomb yield conditions for both the peak and the residual strengths.
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  • 135
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    International Journal for Numerical and Analytical Methods in Geomechanics 8 (1984), S. 409-409 
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    International Journal for Numerical and Analytical Methods in Geomechanics 8 (1984), S. 445-455 
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    Notes: An analytical solution to the problem of a load applied to a portion of the wall of a circular tunnel installed deep in a homogeneous isotropic material has been found. The solution is obtained by taking a Fourier transform, in the axial direction, of the field quantities and then representing these as a Fourier series in the polar angle. The integration which is necessary for the inversion of Fourier transforms has to be performed numerically using Gaussian quadrature.The solution has been used to analyse the problem of uniform normal loading applied over rectangular patches of the tunnel wall. An indication of how the solution can be applied to the tunnel jacking problem is given.
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    International Journal for Numerical and Analytical Methods in Geomechanics 4 (1980), S. 25-43 
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    Notes: A finite element model for the prediction of discrete fracture propagation in rock structures loaded in compression is presented. The model integrates any one of three theories for mixed-mode fracture initiation; it contains an energy balance algorithm for predicting crack increment length, and incorporates recent developments in finite element stress-intensity factor computation. The predictions of the model are compared with the observed fracture response of a real rock structure. Results show that the model accurately predicts both stable and unstable fracture progagations observed experimentally.
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    International Journal for Numerical and Analytical Methods in Geomechanics 4 (1980), S. 89-101 
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    Notes: When using numerical methods in soil mechanics, one often needs to define a yield surface in three-dimensional principal-stress space. A special class of yield surfaces, given by J = (p+a)α(1-β sin 3ν)n, where ν is the Lode angle, is considered from the point of view of convexity and agreement with experimental data. Some recently proposed yield functions which belong to this class are compared. It is shown that the model with n = -0.229 is optimal as regards convexity, and can give reasonable agreement with the data.
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    International Journal for Numerical and Analytical Methods in Geomechanics 4 (1980), S. 131-142 
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    Notes: A non-linear distribution of vertical displacement versus aquifer depth is calculated in the case of a partially penertrating well. For a fully penetrating well, however, a linear distribution is observed. The solution exhibits a vertically uniform horizontal displacement in the case of a fully penetrating well and, for a partially penetrating well, the maximum horizontal displacement occurs at the elevation of the well bottom.
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    International Journal for Numerical and Analytical Methods in Geomechanics 4 (1980), S. 143-158 
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    Notes: This paper analysis the stability of several methods for obtaining numerical solutions of second-order ordinary differential equations. The methods are popular in structural and geotechnical engineering applications and are direct, that is they do not require the transformation of the second-order equation into a first-order system. They include Newmark's method in both implicit and explicit forms, Wilson's θ-method, Houbolt's method and some variants on this latter method. We shall examine the stability of the methods when applied to the second-order scalar test equation \documentclass{article}\pagestyle{empty}\begin{document}$$ \ddot x + 2a\dot x + (a^2 + c^2)x = 0 $$\end{document} where a and c are real.
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    International Journal for Numerical and Analytical Methods in Geomechanics 5 (1981), S. 225-228 
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    International Journal for Numerical and Analytical Methods in Geomechanics 5 (1981), S. 229-245 
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    Notes: In this paper models are given for analysis and description of non-linear properties of joints, weak intercalations and interfaces in rock masses.Models for analysis consist of four parts, i.e. shear displacement model, normal deformation model, shear strength model and a relationship between unit shear stiffness and normal stress.The method of non-linear analysis given in this paper is based on an incremental procedure.The proposed method is available for different types of shear-displacement curves, and also adapted to the complicated process of loading-unloading-reloading.The results of computer simulation of an in-situ shear test obtained by this method gave a good fit to the measured data.The method of non-linear analysis of joint elements has been used in some practical rock engineering problems, and some interesting results and conclusions have been obtained.
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    International Journal for Numerical and Analytical Methods in Geomechanics 5 (1981), S. 295-311 
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    Notes: A five-step procedure involving mathematical formulation, identification and determination of parameters and verification is presented for development and selection of appropriate and reliable constitutive law(s) for geologic media. Comprehensive analyses are performed toward determination of an appropriate law for a (artificial) soil. The most suitable model is obtained by critical evaluation of four different plasticity models; here verification and comparisons of predictions with observations from laboratory tests, and with those from two boundary value problems are used as the basis of the selection. The model thus selected is found to be appropriate for applications to relevant practical problems.
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    International Journal for Numerical and Analytical Methods in Geomechanics 5 (1981) 
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    International Journal for Numerical and Analytical Methods in Geomechanics 5 (1981), S. 379-403 
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    Notes: Solutions for the magnitude and rate of settlement of rigid foundations supported by soil reinforced with granular piles are presented. An analytic solution using the theory of elasticity is developed for the settlement of the foundation and expressions for evaluating the moment and shear distributions across the foundation are given. A solution for the increase of the rate of settlement due to the presence of the granular piles has been found by a numerical solution of Biot's equations of consolidation.
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    International Journal for Numerical and Analytical Methods in Geomechanics 5 (1981), S. 459-459 
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    International Journal for Numerical and Analytical Methods in Geomechanics 6 (1982), S. 47-76 
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    Notes: In this paper, the ability of a displacement-type finite element analysis to predict collapse loads accurately is investigated. For the usual assumptions of ideal plasticity and infinitesimal deformations, attention is focused on undrained geotechnical problems. The theoretical criterion originally developed by Nagtegaal et al.1 is applied to each member of the serendipidity quadrilateral and triangular family of elements, up to and including those with a quartic displacement expansion. This method of assessing the suitability of a particular type of element is shown to be valid for any constitutive law which attempts to enforce the constant volume condition at failure, such as critical state type soil models. The method is also generalized to permit an assessment, a priori, of the suitability of any given mesh which is composed of a finite number of elements of the same type. It is postulated that the 15-noded, cubic strain triangle is theoretically capable of accurate computations in the fully plastic range for undrained geotechnical situations which involve axial symmetry or plane strain. This prediction is verified by a series of numerical experiments on footing problems. Extending the work of Nagtegaal et al., 1 it is established theretically that if lower order finite elements are employed rigorously for non-trivial undrained problems with axial symmetry, then it is impossible to predict the exact limit load accurately, regardless of how refined the mesh may be.
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    International Journal for Numerical and Analytical Methods in Geomechanics 6 (1982), S. 129-139 
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    Notes: Collapse loads are overestimated by finite-element or finite-difference procedures when the material discretization does not allow locally incompressible plastic flow: for example, constant-strain triangles or tetrahedra give unacceptable results. The use of different discretizations for the isotropic and deviatoric parts of the strain tensor is advocated for preventing this problem. The technique can be easily implemented in existing two- and three-dimensional computer programs. Its effectiveness is demonstrated by several examples.
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    International Journal for Numerical and Analytical Methods in Geomechanics 6 (1982), S. 291-292 
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    International Journal for Numerical and Analytical Methods in Geomechanics 6 (1982), S. 307-322 
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    Notes: The method of slices commonly used for estimating static stability of natural slopes and embankments is extended to include the dynamic effects due to earthquake loading. The equation of motion of a typical slice along a path different from its base is derived. The calculations of displacement of a slide mass using the Newmark procedure are discussed and illustrated with an example problem.
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    International Journal for Numerical and Analytical Methods in Geomechanics 6 (1982), S. 353-382 
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    Keywords: Engineering ; Engineering General
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    Notes: Talbingo Dam is a well instrumented, 162m high rockfill structure with an upstream sloping silty clay core, located in the southern New South Wales, Australia. A non-linear finite element analysis of its behaviour was carried out under plane strain conditions, simulating its construction, reservoir filling and steady seepage loading stages. Material parameters are determined from triaxial tests on the rockfill, core, filter and transition materials, compacted to field dry density and moisture content. All materials show non-linear stress-strain behaviour, with rockfill exhibiting work softening at large strain. Mohr envelopes for rockfill are slightly curved but linear approximations are acceptable. When compared with stresses and deformations at maximum cross section, the analytical results show good agreement in most areas. A non-linear model for pore pressure response is used successfully to predict the high pore pressures in the lower region of the core. A stability analysis performed for the end of construction stage, based on finite element stresses, shows that the design safety factors are slightly conservative.
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    International Journal for Numerical and Analytical Methods in Geomechanics 6 (1982), S. i 
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    International Journal for Numerical and Analytical Methods in Geomechanics 7 (1983), S. 101-115 
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    Notes: Two simple constitutive laws appropriate for elastic-plastic deformation up to peak load of low porosity rocks are presented. Both laws account for mean stress dependence of yield hardening between yield and peak strength and non-associative plastic straining. The two constitutive laws are based on the Mohr-Coulomb and the Mises-Schleicher yield criteria. The yield criteria are matched at axisymmetric compression and the relationships among the constitutive parameters are given. The parameters are then evaluated for two evaporite rocks anhydrite and polyhalite based on axisymmetric compression data. Comparison of predicted stress-strain laws with those measured in the laboratory show that these laws can be used for engineering analysis.
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    International Journal for Numerical and Analytical Methods in Geomechanics 7 (1983), S. 140-141 
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    International Journal for Numerical and Analytical Methods in Geomechanics 7 (1983), S. 173-186 
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    Notes: The yield locus governing the stress-strain response of a soil may degrade during rebound at high overconsolidation ratios. The cause can be attributed to a breakdown in bonding. A Cam-Clay model is applied to account for the degrading yield locus, and the influence of this degradation is assessed using a theoretical approach for friction pile capacity. Stress changes in the soil continuum due to pile installation and setup are simulated by cylindrical cavity expansion and radial consolidation, anda segment loading model is used to determine the effective stress change in the soil at peak load transfer under undrained conditions. The results indicate that plastic rebound affects peak load transfer to at least the same extent as shear strength.
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    International Journal for Numerical and Analytical Methods in Geomechanics 7 (1983), S. 187-207 
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    Notes: The behaviour of a cylindrical liquid storage tank resting on a deep homogeneous elastic layer is examined. The analysis employs a substructure approach and proceeds by examining the behaviour of the tank base, the tank walls and the soil separately and developing flexibility matrices for each of these components. These flexibility matrices are then assembled and the complete soil structure system analysed.
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    International Journal for Numerical and Analytical Methods in Geomechanics 7 (1983), S. 397-418 
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    Notes: A new framework for the development of constitutive models based on certain aspects of physical theories of plasticity is proposed. The resulting Multi-laminate model of clays has the same response as the Critical state model provided no rotation of principal stress axes takes place during plastic flow.The influence of rotation of the principal stress axes on the volumetric and deviatoric plastic strains has been numerically evaluated. In undrained saturated, normally consolidated clays considerable excess pore pressure may build up due to rotation of the principal axes only. Numerical studies of the collapse of footings indicate that significant rotations do not take place in this class of problems and consequently the collapse load is only marginally reduced.
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    International Journal for Numerical and Analytical Methods in Geomechanics 7 (1983), S. 469-484 
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    Notes: A constitutive model is described for the prediction of dynamic crack formation in geological media. The model includes a simple tensile failure criterion for crack formation and a soil plasticity model for both deviatoric and volumetric plasticity. Numerical results are presented which show that the model reproduces the observed dependence of fracture formation on loding rate for dynamic pressure loading of boreholes. The use of the model as a numerical tool for design is demonstrated through two example parameter studies.
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    International Journal for Numerical and Analytical Methods in Geomechanics 7 (1983), S. 500-500 
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    International Journal for Numerical and Analytical Methods in Geomechanics 8 (1984), S. 19-43 
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    Notes: The idea of using a thin solid element, called a thin-layer element, in soil-structure interaction and rock joints is proposed. A special constitutive model is used and various deformation modes such as no slip, slip, debonding and rebonding are incorporated. The shear stiffness is found from special laboratory tests and the normal stiffness is assumed to be composed of participation of the thin-layer element and the adjoining solid elements. A parametric study shows that the thickness of the thin-layer element can be such that the ratio of thickness to (mean) dimension of the adjacent element is in the range of 0.01 to 0.1. A number of simple and practical problems are solved to illustrate the success of the thin-layer element for soil-structure interaction problems.
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    International Journal for Numerical and Analytical Methods in Geomechanics 4 (1980) 
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    International Journal for Numerical and Analytical Methods in Geomechanics 4 (1980), S. 45-55 
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    Notes: A comparative discussion of constitutive rate equations generated by using the hypoelasticity and plasticity theories is presented. If is shown that these two approaches are equivalent for the loading process but differ essentially in defining the unloading (or reverse loading) paths. The multisurface plasticity formulation proves to be more convenient in incorporating memory rules of particular loading events, whereas loading-unloading criteria used in hypoelasticity may result in an unrealistic prediction of material response for some loading paths, and in particular, for cyclic loading. The violation of the continuity condition between loading-unloading domains in proposed constitutive relations3,4 limits their applicability to some particular classes of loading paths.
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    International Journal for Numerical and Analytical Methods in Geomechanics 4 (1980), S. 191-196 
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    Notes: Finite element solutions for steady-state flow of fluids through porous media do not include an explicit develpoment of the flow net, and many engineers find this lack frustrating. To solve for the stream function, the analyst can use essentially the same finite element routines as he used for the potential, but the matrix corresponding to the hydraulic conductivity is not the inverse of the conductivity. Contouring the potential and the stream function is done element by element; certain anomalous situations are described in an appendix.
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    International Journal for Numerical and Analytical Methods in Geomechanics 4 (1980), S. 215-232 
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    Notes: The elastostatic problem of an infinite elastic medium containing an axially-loaded rigid cylindrical inclusion is investigated. This problem is of interest in connection with the geotechnical study of the time-independent, load-deflection characteristics of deep rigid anchors embedded in cohesive soil or rock media. The problem is formulated by means of Hankel integral transforms and reduced to a system of four coupled sing ular integral equations, where the unknown quantities are the normal and the shear stresses acting on the entire surface of the anchor. Numerical solutions are investigated for various Poisson's ratios and several values of the aspect ratio of radius to length of the cylindrical anchor.
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    International Journal for Numerical and Analytical Methods in Geomechanics 5 (1981), S. 165-176 
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    Notes: The theoretical aspects of mining in rock subject to tectonic stressing are still insufficiently clear. While rock mechanics uses Heim's rule and assumes the virgin stress to be generally lithostatic, earth science resorts to the folding theory and to different approaches in explaining geological phenomena.In this paper, a procedure is proposed for determining tectonic stresses in mining ground below a surface fold, the latter being assumed to originate through local buckling of the surface layer under tectonic action. For the purpose of this hypothesis, the concept of displacement along the interface of the layer and the surrounding incompetent rock is defined. In the case of elastic or viscous incompetent rock, the induced stress is obtainable by an integral equation approach.A numerical technique was developed accordingly for the zone of contact strain, and special attention is paid to interpretation of the singular integrals representing the boundary stress. Numerical results are presented as an illustration.
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    International Journal for Numerical and Analytical Methods in Geomechanics 5 (1981), S. 247-261 
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    Notes: Evidence for threshold gradients is reviewed. The consolidation problem, with threshold gradient, is properly formulated and solved numerically. An approximate analytical solution is also developed. The influence of a threshold gradient on the time rate of settlement is examined, and it is shown that by modifying the definition of the degree of consolidation a good approximation to the threshold gradient problem can be obtained directly from the Terzaghi solution. It is also shown that threshold gradients will have no influence on odometer testing and their effect is, therefore, to reduce the primary compression below that predicted from standard tests.
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    International Journal for Numerical and Analytical Methods in Geomechanics 5 (1981), S. 323-324 
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    International Journal for Numerical and Analytical Methods in Geomechanics 5 (1981), S. 313-322 
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    Notes: Existence of more than one numerical solution to the slope stability equations derived on the basis of force and moment equilibrium requirements of statistics is indicated. These solutions satisfy the boundary conditions at both ends of a potential slide mass. In the particular case considered, the details of the calculated response for the slices for each solution set assist the designer in selecting the more reasonable solution to the problem.
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    International Journal for Numerical and Analytical Methods in Geomechanics 4 (1980), S. 159-174 
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    Notes: An exact formulation is presented for the problem of a rigid circular body performing harmonic vibrations on an elastic half-space whose shear modulus increases linearly with depth and is interrupted at some finite depth by a frictionless horizontal plane. The static case is derived in the limit of zero frequency vibrations while the known result for the uninterrupted half-space is recovered in either extreme limit of the horizontal frictionless plane coinciding with the surface or when it is pushed down to an infinite depth.It is shown that the maximum effect of the interruption occurs when the frictionless plane is at a depth where the shear modulus is about 1·6 times the surface shear modulus. Furthermore, this maximum effect is equivalent to a reduction of about 5 per cent of the surface shear modulus or a reduction of about 2½ per cent in the natural frequency of the rigid body on an uninterrupted half-space. The important conclusion, therefore, is that irrespective of the depth at which a half-space isso interrupted, the surface shear modulus is still the dominant parameter and that both the increase in shear modulus with depth and the interruption are not only secondary but also opposing effects.
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    International Journal for Numerical and Analytical Methods in Geomechanics 4 (1980) 
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    International Journal for Numerical and Analytical Methods in Geomechanics 4 (1980), S. 277-284 
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    International Journal for Numerical and Analytical Methods in Geomechanics 6 (1982), S. 109-128 
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    Notes: This paper deals with a numerical formulation of the kinematic limit analysis method. This formulation, based on a finite element discretization, is available for axisymmetric cases. The linearization of the yield Tresca and Von Mises criteria leads to linear programming problems. The velocity fields described here are plastically admissible only on an average. The influence of this approximation is quantified for the triaxial test problem and the stability of circular excavations.
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    International Journal for Numerical and Analytical Methods in Geomechanics 6 (1982), S. 148-148 
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    International Journal for Numerical and Analytical Methods in Geomechanics 6 (1982), S. 287-290 
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    Notes: The effectiveness of the heat balance integral approach in determining the extent of frost penetration of the ground is illustrated.
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    International Journal for Numerical and Analytical Methods in Geomechanics 6 (1982), S. 219-241 
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    Keywords: Engineering ; Engineering General
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    Notes: Closed-form solution to the problem of free vibrations of vertically inhomogeneous earth dams, modelled as truncated-wedge-shaped shear beams, has been obtained by implementing an inverse procedure in which the determination of the function descrbing the inhomogeneity constitutes part of the problem. The resulting cube-root variation of the shear-wave velocity with distance from the crest compares very favourably with measurements in two Japanese dams. The results of the method are presented in theform of natural periods, modal shapes and average seismic coefficients for a number of truncation ratios. Compared with an ‘equivalent’ homogeneous dam, the inhomogeneous experiences sharper amplification of modal displacements and greater averge seismic, coefficients near the crest and has natural periods which are closer to each other. This behaviour is in better agreement with the observed response of a 37m-high dam during five earthquake motions.
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    International Journal for Numerical and Analytical Methods in Geomechanics 6 (1982), S. 293-306 
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    Notes: The problem of a massless, rigid disc vibrating harmonically on a ‘constrained’ transversely isotropic elastic half space is considered. The material is called constrained because it is assumed that the elastic constants satisfy a certain equation. The problem for each mode of vibration is reduced to the solution of a Fredholm integral equation of the second kind. Results are presented to show the general effect of the material anisotropy.
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    International Journal for Numerical and Analytical Methods in Geomechanics 6 (1982), S. 383-390 
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    Notes: For many soils experimental evidence suggests that deviation from normality between the plastic strain increments and the yield function is exhibited mainly in the volumetric behaviour, whereas the deviatoric behaviour exhibits normality. An analysis of the consequence of this observation is presented, and it leads to an expression for the plastic potential function as composed of two functions, a yield function and another dependent only on the hydrostatic pressure; the latter is considered to constitute the concept of correction functions presented recently by Desai and Siriwardane13.
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    International Journal for Numerical and Analytical Methods in Geomechanics 6 (1982), S. 339-351 
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    Notes: A finite element model is developed to simulate the behaviour of an aquifer used as storage space for a compressed air energy storage (CAES) system. The governing equations describing a two-phase flow of air and water are coupled non-linear partial differential equations and are solved by the Galerkin approach. The resulting computer model is applied to a gas percolation problem. Upon verification of the numerical results, the model is employed to simulate the air-water displacement in a storage reservoir during daily air cycling. The corresponding saturation variations and the effects of reservoir permeability on the system are presented. The results obtained are essential in establishing storage design and stability criteria for long-term operation of compressed air energy storage systems.
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    International Journal for Numerical and Analytical Methods in Geomechanics 6 (1982), S. 391-392 
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    International Journal for Numerical and Analytical Methods in Geomechanics 6 (1982), S. 393-407 
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    Notes: The dynamic behaviour of road structure has been analysed by idealizing the subgrade with different viscoelastic models having three and four elements. Complex Fourier transformation has been used to solve the resulting differential equations. The results are presented in non-dimensional form. A detailed study has been made to determine the effect of different parameters on the deflection and moment of the pavement. Also, the relative implications of idealizing the subgrade with different viscoelastic models have been studied. A numerical example has been solved.
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    International Journal for Numerical and Analytical Methods in Geomechanics 6 (1982), S. 483-490 
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    International Journal for Numerical and Analytical Methods in Geomechanics 7 (1983), S. 19-38 
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    Notes: The combined isotropic-kinematic hardening rule for clays is presented using the concept of a multisurface model discussed previously in Reference 1. The mechanical behaviour of clays after one-dimensional consolidation is next simulated for the axisymmetric stress stress state. A general three-dimensional formulation of constitutive relations is also presented.
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    International Journal for Numerical and Analytical Methods in Geomechanics 7 (1983), S. 75-86 
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    Notes: Two finite element algorithms suitable for long term simulation of geothermal reservoirs are presented. Both methods use a diagonal mass matrix and a Newton iteration scheme. The first scheme solves the 2N unsymmetric algebraic equations resulting from the finite element discretization of the equations governing the flow of heat and mass in porous media by using a banded equation solver. The second method, suitable for problems in which the transmissibility terms are small compared to the accumulation terms, reduces the set of N equations for the Newton corrections to a symmetric system. Comparison with finite difference schemes indicates that the proposed algorithms are competitive with existing methods.
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    International Journal for Numerical and Analytical Methods in Geomechanics 7 (1983), S. 135-139 
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    International Journal for Numerical and Analytical Methods in Geomechanics 7 (1983), S. 87-100 
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    Notes: A characteristic common to most mine tailings dam failures is that the mine tailings tend to liquefy and flow over substantial distances, with the potential for extensive damage to property and life. In order to be able to assess the potential for damage in case of such a failure, it is necessary to be able to predict the characteristics of the flow and the possible extent of flood movement. A procedure that has some potential for such flow analyses is described in this paper. When fluid resistanceis neglected, the solution of the simple dam-break problem is readily found using the shallow water theory. However, near the head of the mine waste dam-break flood wave the laminar resistance resistance effects are appreciable. In this paper the retardation of the wave-front behind the position predicted by the inviscid shallow water theory is found.
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    International Journal for Numerical and Analytical Methods in Geomechanics 7 (1983), S. 129-134 
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    Notes: The problem of the critical height of a vertical cut in a purely cohesive medium has been repeatedly dealt with by several authors and, in spite of its apparent simplicity, the characterization of satisfactory solutions has presented, for a considerable period, notable difficulties. The present paper supplies the results obtained with a numerical method, which has so far been applied successfully to a considerable number of problems.
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    International Journal for Numerical and Analytical Methods in Geomechanics 5 (1981), S. 15-31 
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    Notes: Direct and indirect formulations of the boundary element methods are described for two-dimensional problems of transient ground water low. A numerical algorithm for obtaining solutions to complete any two-dimensional problem is outlined. The algorithm has been applied successfully to several problems which demonstrate its usefulness in practice.
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    International Journal for Numerical and Analytical Methods in Geomechanics 7 (1983), S. 286-286 
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    International Journal for Numerical and Analytical Methods in Geomechanics 7 (1983), S. 305-320 
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    Notes: An anisotropic hardening model for sand or other granular materials is presented. The state of initial densification is represented by a configuration surface and the state of loading by a loading surface in the stress space. The domain of elastic response may not exist and the irreversible strain is assumed to occur for both active and reverse loading. The derived constitutive equations are applicable both for dense and loose sands. Some model predictions are compared with available experimental data for triaxial compression and extension under undrained condition.
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    International Journal for Numerical and Analytical Methods in Geomechanics 7 (1983), S. 321-336 
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    Notes: We extend the well-known Houblt method for dynamic vibration problems to a class of methods suitable for a variable-order variable-step computer program implementation. We discuss the numerical stability properties of these methods and derive a family of extensions with improved stability properties. Finally we present some numerical results which compare a variety of Houbolt methods with other well-known Backward Differentiation methods, demonstrating in passing the practical value of the stability, concepts.
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    International Journal for Numerical and Analytical Methods in Geomechanics 7 (1983), S. 485-492 
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    Notes: This paper deals with the plane plastic equilibrium of a cohesive frictional material in the case of a jump non-homogeneity. Three types of interface separating rigid-plastic bodies with different material parameters are distinguished: (i) a perfect adhesion contact, (ii) a thin layer of a material different from the adjacent bodies, (iii) a combined frictional-adhesive contact. A sliding along the interface may occur if certain conditions are satisfied. For the first two types of joint, the direction and propagation of the velocity jump vector along the interface follow from the classical theory of plane plastic flow. In the third case, the potential sliding rule relating the velocity jump vector to the limit condition of the joint, or to the potential different from the limit condition, may be adopted. The direction of the velocity jump vector results from such a rule.The problem of stability of a slope, being continuously non-homogeneous in one region, and homogeneous in another, is shown in an example. The two regions of the slope are separated by the interface, a thin layer of a different material, (type ii). The associated flow law for both regions of the slope and for the material of the interface is assumed.
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    International Journal for Numerical and Analytical Methods in Geomechanics 8 (1984), S. 1-17 
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    Notes: Most deposited sands exhibit anisotropic behaviour. A plasticity model has been proposed with the capacity for simulating such anisotropic behaviour. The proposed model contains a number of coefficients of anisotropy. Methodology for determination of the coefficients of anisotropy has been discussed. Using experimental data, the coefficients of anisotropy have been determined for a number of well-known sands. Stress-dilatancy has been modelled by using the ‘normalized work’ and it has been shown that the normalized work is independent of inherent anisotropy. Finally, some reasonably close comparisons between experimental results and model simulations have been reported.
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    International Journal for Numerical and Analytical Methods in Geomechanics 8 (1984) 
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    International Journal for Numerical and Analytical Methods in Geomechanics 8 (1984), S. 157-166 
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    Notes: This paper examines the problem of the flexure of a strip of finite width which is embedded in bonded contact with an isotropic elastic medium of infinite extent. The analysis of the problem is applicable to flexible beams of narrow width which experience flexure only in the longitudinal direction. Numerical results are developed for the maximum flexural moment induced in the embedded beam due to the action of a concentrated force.
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    International Journal for Numerical and Analytical Methods in Geomechanics 8 (1984), S. 243-257 
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    Notes: A smoothing technique is developed to remove the oscillatory errors in initial nodal pore pressures, associated with the use of quadratic isoparametric elements to model soil consolidation. Numerical results using this technique are compared with the performance of other types of element in problems of one-and two-dimensional consolidation.
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    International Journal for Numerical and Analytical Methods in Geomechanics 8 (1984), S. 287-296 
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    Notes: The dispersion of torsional surface waves in two types of inhomogeneous elastic media is discussed (1) in a half-space with shear modulus varying linearly with depth and with constant density (Gibson'S half-space) and (2) in a half-space with shear modulus varying with the square-root of the depth co-ordinate and with constant density. Inhomogeneous media with constant shear wave velocity are also reviewed and the obtained solutions are discussed in relation to appropriate boundary conditions.
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