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

*(English)*Zbl 1162.74482Summary: 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.

##### MSC:

74S15 | Boundary element methods applied to problems in solid mechanics |

74K25 | Shells |

74K35 | Thin films |

##### Keywords:

the boundary element method; thin-walled structural elements; singular and quasi-singular quadratures; subregion-by-subregion storage formats; structured matrix-vector products
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\textit{F. C. Araújo} and \textit{L. J. Gray}, Comput. Mech. 41, No. 5, 633--645 (2008; Zbl 1162.74482)

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