Boundary-element analysis of the dynamic state of piecewise homogeneous elastic bodies using convolution quadratures

Authors

  • Alexandr Vladimirovich Amenitskiy Research Institute of Mechanics, Nizhny Novgorod State Lobachevsky University
  • Alexandr Alexandrovich Belov Research Institute of Mechanics, Nizhny Novgorod State Lobachevsky University
  • Leonid Alexandrovich Igumnov Research Institute of Mechanics, Nizhny Novgorod State Lobachevsky University
  • Svetlana Yurievna Litvinchuk Research Institute of Mechanics, Nizhny Novgorod State Lobachevsky University

DOI:

https://doi.org/10.7242/1999-6691/2008.1.3.22

Keywords:

Abstract

An approach to the analysis of 3-D dynamic problems of elasticity for piecewise homogeneous bodies using a BEM explicitly accounting for the time variable is presented. The boundary-element scheme of constructing a discrete analogue is used in combination with the convolution quadrature method. A novel scheme of the convolution quadrature method is constructed. The results of the BEM analysis are presented. The developed BEM-scheme is shown to be highly accurate.

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References

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Published

2008-04-01

Issue

Vol. 1 No. 3 (2008)

Section

Articles

License

Copyright (c) 2008 Computational Continuum Mechanics

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This work is licensed under a Creative Commons Attribution-NonCommercial 4.0 International License.

How to Cite

Amenitskiy, A. V., Belov, A. A., Igumnov, L. A., & Litvinchuk, S. Y. (2008). Boundary-element analysis of the dynamic state of piecewise homogeneous elastic bodies using convolution quadratures. Computational Continuum Mechanics, 1(3), 5-14. https://doi.org/10.7242/1999-6691/2008.1.3.22