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Analysis of thin-walled structural elements via 3D standard BEM with generic substructuring

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Abstract

This paper is concerned with the application of standard 3D Boundary Element Methods to solve thin-walled structural elements (needle-like/shell-like solids). A subregion-by-subregion data structure, incorporating iterative solvers and discontinuous boundary elements, is presented. To efficiently and accurately evaluate the quasi-singular integrals, special quadrature methods are applied. In addition, structured matrix-vector products, designed to avoid the excessive number of conditional tests during solver iterations, are proposed. Numerical results for complex thin-walled BE models are validated by comparison with FEM calculations and previously published BEM analyses.

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Authors and Affiliations

  1. Department of Civil Engineering, UFOP, 35400-000, Ouro Preto-MG, Brazil

    F. C. Araújo

  2. Computer Science and Mathematics Division, Oak Ridge National Laboratory, P.O. Box 2008, Oak Ridge, TN, USA

    L. J. Gray

Authors
  1. F. C. Araújo
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  2. L. J. Gray
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Correspondence to F. C. Araújo.

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Araújo, F.C., Gray, L.J. Analysis of thin-walled structural elements via 3D standard BEM with generic substructuring. Comput Mech 41, 633–645 (2008). https://doi.org/10.1007/s00466-007-0220-8

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  • DOI: https://doi.org/10.1007/s00466-007-0220-8

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