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  • 1
    Electronic Resource
    Electronic Resource
    A successive bounding method to find the exact eigenvalues of transcendental stiffness matrix formulations (1995)
    Chichester [u.a.] : Wiley-Blackwell
    International Journal for Numerical Methods in Engineering 38 (1995), S. 1057-1067 
    Details
    ISSN: 0029-5981
    Keywords: bounding exact ; transcendental eigenproblems ; Engineering ; Engineering General
    Source: Wiley InterScience Backfile Collection 1832-2000
    Topics: Mathematics , Technology
    Notes: An alternative algorithm for finding exact natural frequencies or buckling loads from the transcendental, e.g. dynamic, stiffness matrix method is presented in this paper and evaluated by using the plate assembly testbed program VICONOPT. The method is based on the bounding properties of the eigenvalues provided by either linear or quadratic matrix pencils on the exact solutions of the transcendental eigenvalue problem. The procedure presented has five stages, including two accuracy checking stages which prevent unnecessary calculations. Numerical tests on buckling of general anisotropic plate assemblies show that significant time savings can be achieved compared with an earlier multiple determinant parabolic interpolation method.
    Additional Material: 2 Ill.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1002/nme.1620380612
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  • 2
    Electronic Resource
    Electronic Resource
    A TWO-LEVEL DECOMPOSITION METHOD FOR SHAPE OPTIMIZATION OF STRUCTURES (1997)
    Chichester [u.a.] : Wiley-Blackwell
    International Journal for Numerical Methods in Engineering 40 (1997), S. 75-88 
    Details
    ISSN: 0029-5981
    Keywords: structural design ; shape optimization ; Engineering ; Numerical Methods and Modeling
    Source: Wiley InterScience Backfile Collection 1832-2000
    Topics: Mathematics , Technology
    Notes: The paper proposes a two-level decomposition method for shape optimization of structures. The optimization problem is divided into two subproblems on the basis of the different effects on structural behaviour of different kinds of design variables. A minimum mass subproblem is solved to determine the sizing variables and a constraint evaluation function based on norm optimization is minimized to determine the shape variables. An efficient coupling technique is used between the subproblems to ensure very rapid and steady convergence. Numerical results are presented to demonstrate the effectiveness of the method. © 1997 by John Wiley & Sons, Ltd.
    Additional Material: 5 Ill.
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  • 3
    Electronic Resource
    Electronic Resource
    A finite element algorithm to study creep cracks based on the creep hardening surface (1995)
    Chichester [u.a.] : Wiley-Blackwell
    International Journal for Numerical Methods in Engineering 38 (1995), S. 969-987 
    Details
    ISSN: 0029-5981
    Keywords: finite element ; creep cracks ; cyclic loads ; Engineering ; Engineering General
    Source: Wiley InterScience Backfile Collection 1832-2000
    Topics: Mathematics , Technology
    Notes: This work addresses finite element (FE) modelling of creep cracks under reversed and cyclic loads in steels. A constitutive model based on the creep hardening surface developed by Murakami and Ohno has been selected for this purpose. This model is particularly accurate for describing creep under reversed and cyclic loads and requires no additional material constants. An FE algorithm for this model has been derived and implemented into a research code FVP. The algorithm is verified by comparing the numerical predictions with closed form solutions for simple geometries and loading configurations. FE predictions are compared with experimental data for a stationary crack in a compact tension specimen. The stress and strain fields in the vicinity of a crack under a sustained load are compared with those for the intermediate unloading case. Several integral fracture parameters are investigated as to their appropriateness for describing creep cracks under reversed and cyclic loads.
    Additional Material: 10 Ill.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1002/nme.1620380607
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  • 4
    Electronic Resource
    Electronic Resource
    ASYNCHRONOUS PARALLEL COMPUTING OF STRUCTURAL NON-STATIONARY RANDOM SEISMIC RESPONSES (1997)
    Chichester [u.a.] : Wiley-Blackwell
    International Journal for Numerical Methods in Engineering 40 (1997), S. 2133-2149 
    Details
    ISSN: 0029-5981
    Keywords: non-stationary random ; parallel computing ; seismic response ; Engineering ; Numerical Methods and Modeling
    Source: Wiley InterScience Backfile Collection 1832-2000
    Topics: Mathematics , Technology
    Notes: An asynchronous parallel algorithm is developed in this paper. It is based on the newly developed sequential pseudo-excitation method for structural non-stationary random responses, used with the high precision direct (HPD-S) integration method. Examples run on a Transtech Paramid MIMD parallel computer show that it has good accuracy and gives very high speed-up and efficiency. © 1997 John Wiley & Sons, Ltd.
    Additional Material: 8 Ill.
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  • 5
    Electronic Resource
    Electronic Resource
    EXACT MODAL SYNTHESIS TECHNIQUES USING RESIDUAL CONSTRAINT MODES (1997)
    Chichester [u.a.] : Wiley-Blackwell
    International Journal for Numerical Methods in Engineering 40 (1997), S. 2475-2492 
    Details
    ISSN: 0029-5981
    Keywords: modal synthesis ; structural dynamics ; fixed interface ; Engineering ; Numerical Methods and Modeling
    Source: Wiley InterScience Backfile Collection 1832-2000
    Topics: Mathematics , Technology
    Notes: A new exact modal synthesis method for finding natural frequencies and modes of structures is proposed, in which the exact residual constraint modes based upon an incomplete set of normal modes of substructures with fixed interfaces are expressed in two parts. These are the static constraint modes and a residual term with which it represents exactly the effect of normal modes not retained. The modal synthesis uses a Ritz procedure and an iterative technique is presented for solving the non-linear equations of modal synthesis. This has the advantage that the results given by its first iteration are exactly those given by the Craig-Bampton-Hurty modal synthesis method, which leads to rapid convergence of subsequent iterations. The proposed method is an improvement of Hu's exact modal synthesis method and is also shown to have as its limit the method of exact dynamic condensation. Numerical examples show that using the proposed method yields superior accuracy when only a few lower modes are used. © 1997 by John Wiley & Sons, Ltd.
    Additional Material: 3 Ill.
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  • 6
    Electronic Resource
    Electronic Resource
    Structural responses to non-uniformly modulated evolutionary random seismic excitations (1997)
    Chichester : Wiley-Blackwell
    Communications in Numerical Methods in Engineering 13 (1997), S. 605-616 
    Details
    ISSN: 1069-8299
    Keywords: structures ; response ; seismic ; random ; earthquake ; evolutionary ; Engineering ; Numerical Methods and Modeling
    Source: Wiley InterScience Backfile Collection 1832-2000
    Topics: Mathematics , Technology
    Notes: This paper presents an accurate algorithm for structural non-stationary random seismic responses. The ground acceleration is assumed to be an evolutionary random process, of which the modulation function is non-uniformly modulated, i.e. it depends on both time and frequency. The method is used to compute the non-stationary seismic responses of a non-uniform shear beam. The dependency of the power spectral densities of the excitations and of the responses on time and frequency is discussed, based on numerical results. ©1997 John Wiley & Sons, Ltd.
    Additional Material: 5 Ill.
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  • 7
    Electronic Resource
    Electronic Resource
    High-order compact scheme for the steady stream-function vorticity equations (1995)
    Chichester [u.a.] : Wiley-Blackwell
    International Journal for Numerical Methods in Engineering 38 (1995), S. 3497-3512 
    Details
    ISSN: 0029-5981
    Keywords: Navier-Stokes ; high-order difference ; compact scheme ; Engineering ; Engineering General
    Source: Wiley InterScience Backfile Collection 1832-2000
    Topics: Mathematics , Technology
    Notes: A higher-order compact scheme that is O(h4) on the nine-point 2-D stencil is formulated for the steady stream-function vorticity form of the Navier-Stokes equations. The resulting stencil expressions are presented and hence this new scheme can be easily incorporated into existing industrial software. We also show that special treatment of the wall boundary conditions is required. The method is tested on representative model problems and compares very favourably with other schemes in the literature.
    Additional Material: 10 Ill.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1002/nme.1620382008
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  • 8
    Electronic Resource
    Electronic Resource
    Higher-order compact mixed methods (1997)
    Chichester : Wiley-Blackwell
    Communications in Numerical Methods in Engineering 13 (1997), S. 553-564 
    Details
    ISSN: 1069-8299
    Keywords: mixed methods ; high-order finite differences ; compact stencils ; superconvergence ; Engineering ; Numerical Methods and Modeling
    Source: Wiley InterScience Backfile Collection 1832-2000
    Topics: Mathematics , Technology
    Notes: We develop a class of higher-order mixed finite difference methods for elliptic partial differential equations. The problem is recast as a first-order mixed system and the higher-order compact schemes follow as a natural extension of the formulations we developed previously for the scalar PDE problem. Since the flux appears explicitly in the mixed formulation we obtain higher-order (nodal superconvergent) solutions in both the primary solution field and also the flux. Some supporting numerical experiments are included to demonstrate the superconvergent rates. © 1997 John Wiley & Sons, Ltd.
    Additional Material: 6 Ill.
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  • 9
    Electronic Resource
    Electronic Resource
    THE INFLUENCE OF INTERFACE LAYER ON MICROSTRUCTURAL STRESSES IN MORTAR (1996)
    New York, NY [u.a.] : Wiley-Blackwell
    International Journal for Numerical and Analytical Methods in Geomechanics 20 (1996), S. 215-228 
    Details
    ISSN: 0363-9061
    Keywords: concrete ; interface layer ; microstructure ; mortar ; stress ; Engineering ; Engineering General
    Source: Wiley InterScience Backfile Collection 1832-2000
    Topics: Architecture, Civil Engineering, Surveying , Geosciences
    Notes: In this paper, the influence of geometrical and physical parameters (size of the sand particle, thickness of the interface layer and ratios of the modulus of elasticity) on stress distributions in a mortar is studied. It is found that a weak or soft interface layer in the mortar will greatly reduce the strength of the concrete; if the modulus of the interface layer approaches to that of the cement paste and the modulus of the sand particle (or aggregate) is 4-10 times as large as that of the cement paste, the concrete will possess a much higher strength and thus has a better property.
    Additional Material: 6 Ill.
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  • 10
    Electronic Resource
    Electronic Resource
    STRESS ANALYSIS OF A SAND PARTICLE WITH INTERFACE IN CEMENT PASTE UNDER UNIAXIAL LOADING (1996)
    New York, NY [u.a.] : Wiley-Blackwell
    International Journal for Numerical and Analytical Methods in Geomechanics 20 (1996), S. 275-285 
    Details
    ISSN: 0363-9061
    Keywords: elasticity ; stress analysis ; inclusion ; interface ; sand ; Engineering ; Engineering General
    Source: Wiley InterScience Backfile Collection 1832-2000
    Topics: Architecture, Civil Engineering, Surveying , Geosciences
    Notes: In this paper, the stress states of a sand particle (or aggregate) with an interface layer in a cement paste (or mortar) subjected to uniaxial compression or tension are studied. This is a dual layer inclusion problem. The general analytical solutions of stresses and deformations are obtained in closed form, and the solutions of several special cases including the sand (or aggregate) treated as rigid body and as a hole as well as when the thickness of the interface layer approaches zero are also given.
    Additional Material: 4 Ill.
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