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Computational Mechanics
Erschienen in: Computational Mechanics 4/2018

28.11.2017 | Original Paper

An efficient grid-based direct-volume integration BEM for 3D geometrically nonlinear elasticity

verfasst von: Yani Deng, Junjie Rong, Wenjing Ye, L. J. Gray

Erschienen in: Computational Mechanics | Ausgabe 4/2018

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Abstract

The boundary element method is regarded as an efficient method for solving problems with complex domains. However most successful applications of the BEM have been thus far limited to linear analyses. A major difficulty with the BEM solution of a nonlinear problem is the handling of the volume integral resulting from the nonlinear terms. In this work, a grid-based direct-volume integration BEM has been developed for 3D geometrically nonlinear elastic problems. The volume integrals are evaluated using a regular Cartesian grid, and thus only the boundary discretization of the problem domain is required. The efficiency of the method is enhanced by using acceleration schemes for both surface and volume integration. Several 3-D example calculations have been performed to demonstrate the effectiveness of the three-dimensional formulas and the numerical implementation.
Nächster Artikel Surface plasticity: theory and computation

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Metadaten
Titel
An efficient grid-based direct-volume integration BEM for 3D geometrically nonlinear elasticity
verfasst von
Yani Deng
Junjie Rong
Wenjing Ye
L. J. Gray
Publikationsdatum
28.11.2017
Verlag
Springer Berlin Heidelberg
Erschienen in
Computational Mechanics / Ausgabe 4/2018
Print ISSN: 0178-7675
Elektronische ISSN: 1432-0924
DOI
https://doi.org/10.1007/s00466-017-1515-z

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