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Analysis of thin-walled structural elements via 3D standard BEM with generic substructuring. (English) Zbl 1162.74482
Summary: 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.

74S15 Boundary element methods applied to problems in solid mechanics
74K25 Shells
74K35 Thin films
Full Text: DOI
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