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  • Open Access

    ARTICLE

    Steady Heat Conduction Analysis in Orthotropic Bodies by Triple-reciprocity BEM

    Y. Ochiai

    CMES-Computer Modeling in Engineering & Sciences, Vol.2, No.4, pp. 435-446, 2001, DOI:10.3970/cmes.2001.002.435

    Abstract The boundary element method (BEM) is useful in solving the steady heat conduction problem of orthotropic bodies without heat generation. However, for cases with arbitrary heat generation, a number of internal cells are necessary. In this paper, it is shown that the problem of steady heat conduction in orthotropic bodies with heat generation can be solved without internal cells by the triple-reciprocity BEM. In this method, the distribution of heat generation is interpolated using integral equations. In order to solve the problem, the values of heat generation at internal points and on the boundary are More >

  • Open Access

    ARTICLE

    A Pure Contour Formulation for the Meshless Local Boundary Integral Equation Method in Thermoelasticity

    J. Sladek1, V. Sladek1, S.N. Atluri2

    CMES-Computer Modeling in Engineering & Sciences, Vol.2, No.4, pp. 423-434, 2001, DOI:10.3970/cmes.2001.002.423

    Abstract A new meshless method for solving stationary thermoelastic boundary value problems is proposed in the present paper. The moving least square (MLS) method is used for the approximation of physical quantities in the local boundary integral equations (LBIE). In stationary thermoelasticity, the temperature and displacement fields are uncoupled. In the first step, the temperature field, described by the Laplace equation, is analysed by the LBIE. Then, the mechanical quantities are obtained from the solution of the LBIEs, which are reduced to elastostatic ones with redefined body forces due to thermal loading. The domain integrals with More >

  • Open Access

    ARTICLE

    SGBEM-FEM Alternating Method for Analyzing 3D Non-planar Cracks and Their Growth in Structural Components1

    G.P.Nikishkov2, J.H.Park3, S.N.Atluri2

    CMES-Computer Modeling in Engineering & Sciences, Vol.2, No.3, pp. 401-422, 2001, DOI:10.3970/cmes.2001.002.401

    Abstract An efficient and highly accurate, Symmetric Galerkin Boundary Element Method - Finite Element Method - based alternating method, for the analysis of three-dimensional non-planar cracks, and their growth, in structural components of complicated geometries, is proposed. The crack is modeled by the symmetric Galerkin boundary element method, as a distribution of displacement discontinuities, as if in an infinite medium. The finite element method is used to perform the stress analysis for the uncracked body only. The solution for the structural component, containing the crack, is obtained in an iteration procedure, which alternates between FEM solution More >

  • Open Access

    ARTICLE

    Nonlinear Analysis of Pin-Jointed Assemblies with Buckling and Unilateral Members

    K.Yu. Volokh1

    CMES-Computer Modeling in Engineering & Sciences, Vol.2, No.3, pp. 389-400, 2001, DOI:10.3970/cmes.2001.002.389

    Abstract A computational framework is described for modeling pin-jointed structures comprising unilateral cable members and slender struts. The deep postbuckling behavior of struts is considered by means of 'elastica' analytical approximation. Prestressing is allowed. The proposed approach is incorporated into equilibrium path following procedures and illustrated in numerical examples. More >

  • Open Access

    ARTICLE

    Lateral Plastic Collapse of Cylinders: Experiments and Modeling

    K. Nesnas1, A. Abdul-Latif2

    CMES-Computer Modeling in Engineering & Sciences, Vol.2, No.3, pp. 373-388, 2001, DOI:10.3970/cmes.2001.002.373

    Abstract Large plastic collapse of an identical pair of cylinders of various geometries having the same length and volume is studied under lateral compressive load. Superplastic material is employed as a representative material to simulate the classical engineering material behavior under high strain rate. The effects of the strain rate and the geometry of cylinders on the plastic collapse are taken into account. The experimental study is conducted using a structure in which one cylinder is superplastic and the other is steel (referred to as deformable and non-deformable situation "DND''). The actual structure (DND) and that More >

  • Open Access

    ARTICLE

    Numerical Solution of Plane Elasticity Problems with the Cell Method

    F. Cosmi1

    CMES-Computer Modeling in Engineering & Sciences, Vol.2, No.3, pp. 365-372, 2001, DOI:10.3970/cmes.2001.002.365

    Abstract The aim of this paper is to present a methodology for solving the plane elasticity problem using the Cell Method. It is shown that with the use of a parabolic interpolation in a vectorial problem, a convergence rate of 3.5 is obtained. Such a convergence rate compares with, or is even better than, the one obtained with FEM with the same interpolation – depending on the integration technique used by the FEM application. The accuracy of the solution is also comparable or better. More >

  • Open Access

    ARTICLE

    Modeling of Nonlinear Rate Sensitivity by Using an Overstress Model

    KwangsooHo1

    CMES-Computer Modeling in Engineering & Sciences, Vol.2, No.3, pp. 351-364, 2001, DOI:10.3970/cmes.2001.002.351

    Abstract Negative, zero or positive rate sensitivity of the flow stress can be observed in metals and alloys over a certain range of strain, strain rate and temperature. It is believed that negative rate sensitivity is an essential feature of dynamic strain aging, of which the Portevin-Le Chatelier effect is one other manifestation. The viscoplasticity theory based on overstress (VBO), one of the unified state variable theories, is generalized to model zero (rate independence) and negative as well as positive rate sensitivity in a consistent way. The present model does not have the stress rate term… More >

  • Open Access

    ARTICLE

    Thermal Stress Analysis of Multi-layer Thin Films and Coatings by an Advanced Boundary Element Method

    Xiaolin Chen, Yijun Liu1

    CMES-Computer Modeling in Engineering & Sciences, Vol.2, No.3, pp. 337-350, 2001, DOI:10.3970/cmes.2001.002.337

    Abstract An advanced boundary element method (BEM) is developed in this paper for analyzing thin layered structures, such as thin films and coatings, under the thermal loading. The boundary integral equation (BIE) formulation for steady-state thermoelasticity is reviewed and a special case, that is, the BIE for a uniform distribution of the temperature change, is presented. The new nearly-singular integrals arising from the applications of the BIE/BEM to thin layered structures under thermal loading are treated in the same way as developed earlier for thin structures under the mechanical loading. Three 2-D test problems involving layered More >

  • Open Access

    ARTICLE

    On Interpolation in SPH

    R. Vignjevic, T. De Vuyst, M. Gourma1

    CMES-Computer Modeling in Engineering & Sciences, Vol.2, No.3, pp. 319-336, 2001, DOI:10.3970/cmes.2001.002.319

    Abstract The work presented provides an overview of different types of kernel interpolation used in the SPH method: conventional SPH, normalised SPH (NSPH), corrected kernel SPH (CSPH) and normalised corrected kernel SPH (NCSPH). These four methods are considered in a fully mesh-free form (using no background mesh). To illustrate the effect of using different interpolation methods two problems were simulated: a 1D symmetric elastic impact problem, and a shock-tube. An overview of the simulation results for the two problems is given. Shortcomings for the interpolation schemes tested were identified and discussed. It is concluded that NCSPH More >

  • Open Access

    ARTICLE

    Meshless Regular Hybrid Boundary Node Method

    Jianming Zhang, Zhenhan Yao1

    CMES-Computer Modeling in Engineering & Sciences, Vol.2, No.3, pp. 307-318, 2001, DOI:10.3970/cmes.2001.002.307

    Abstract The Meshless Local Boundary Integral Equation (MLBIE) method is a truly meshless one as it does not need a 'finite element or boundary element mesh', either for variable interpolation or for 'energy' integration. The Boundary Node Method (BNM) further reduces the dimensionality of the problem by one, i.e. it only requires nodes constructed on the surface. However, the BNM is not truly meshless, as a background mesh is needed for boundary integration; and the MLBIE does not have the advantage of reduced dimensionality as the BNM. A new Regular Hybrid Boundary Node method based on… More >

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