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Abstract
In this paper, we describe Laplace domain boundary element method (BEM) for transient dynamic problems of three-dimensional finite homogeneous anisotropic linearly elastic solids. The employed boundary integral equations for displacements are regularized using the static traction fundamental solution. Modified integral expressions for the dynamic parts of anisotropic fundamental solutions and their first derivatives are obtained. Boundary elements with mixed approximation of geometry and field variables with the standard nodal collocation procedure are used for spatial discretization. In order to obtain time-domain solutions, the classic Durbin’s method is applied for numerical inversion of Laplace transform. Problem of alleviating Gibbs oscillations is addressed. Dynamic boundary element analysis of the model problem involving trigonal material is performed to test presented formulation. Obtained results are compared with finite element solutions.
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Authors (4)
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Ivan Markov Dr
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Leonid A. Igumnov
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Alexander Belov Dr
Cite as
Full text
- Publication version
- Accepted or Published Version
- DOI:
- Digital Object Identifier (open in new tab) 10.1177/10812865221078202
- License
- Copyright (2022 SAGE Publications)
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Details
- Category:
- Articles
- Type:
- artykuły w czasopismach
- Published in:
-
MATHEMATICS AND MECHANICS OF SOLIDS
no. 27,
pages 1 - 12,
ISSN: 1081-2865 - Language:
- English
- Publication year:
- 2022
- Bibliographic description:
- Markov I., Igumnov L. A., Belov A., Eremeev V.: Laplace domain BEM for anisotropic transient elastodynamics// MATHEMATICS AND MECHANICS OF SOLIDS -Vol. 27,iss. 10 (2022), s.1-12
- DOI:
- Digital Object Identifier (open in new tab) 10.1177/10812865221078202
- Sources of funding:
-
- COST_FREE
- Verified by:
- Gdańsk University of Technology
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