Generalized boundary element method for solids exhibiting nonhomogeneities

    Authors

    L. Chen; A. J. Kassab; D. W. Nicholson;M. B. Chopra

    Comments

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    Abbreviated Journal Title

    Eng. Anal. Bound. Elem.

    Keywords

    boundary element method; material nonhomogeneity; domain integral; radial basis function; MEDIA; Engineering, Multidisciplinary; Mathematics, Interdisciplinary; Applications

    Abstract

    The current paper presents a generalized boundary element method to solve the material nonhomogeneous isotropic problems. A boundary integral equation is derived in which the traction kernel includes the full nonhomogeneous elasticity tensor and the domain integral involves the first order derivatives of the displacement kernel and the displacement itself as arguments of its integrand. By using a radial basis function to approximate the domain integrand and assuming the radial basis function is the divergence of a vector function, an anti-divergence scheme is developed to convert the domain integral into a boundary integral. Thus, the numerical implementation is performed with only a boundary mesh and internal collocation points for calculation. The numerical results validate the feasibility of the present approach. (C) 2001 Elsevier Science Ltd. All rights reserved.

    Journal Title

    Engineering Analysis with Boundary Elements

    Volume

    25

    Issue/Number

    6

    Publication Date

    1-1-2001

    Document Type

    Article

    Language

    English

    First Page

    407

    Last Page

    422

    WOS Identifier

    WOS:000169481700002

    ISSN

    0955-7997

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