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3-D Transient Dynamic Crack Analysis by a Novel Time-Domain BEM

Ch. Zhang2, A. Savaidis3

This paper is dedicated to Prof. Dr.-Ing. G. Kuhn, University of Erlangen-Nürnberg, Germany, on the occasion of his 60th birthday.
Department of Civil Engineering, Hochschule Zittau/Görlitz, University of Applied Sciences, D-02763 Zittau, Germany.
Department of Mechanics, National Technical University of Athens, GR-15773 Athens, Greece.

Computer Modeling in Engineering & Sciences 2003, 4(5), 603-618. https://doi.org/10.3970/cmes.2003.004.603

Abstract

A novel non-hypersingular time-domain traction BEM is presented for three-dimensional (3-D) transient elastodynamic crack analysis. The initial-boundary value problem is formulated as a set of non-hypersingular time-domain traction boundary integral equations (BIEs). To solve the time-domain traction BIEs, a time-stepping scheme based on the convolution quadrature formula of Lubich (1988a,b; 1994) for temporal discretization and a collocation method for spatial discretization is adopted. Numerical examples are given for an unbounded solid with a penny-shaped crack under a tensile and shear impact loading. A comparison of the present time-domain BEM with the conventional one shows that the novel time-domain method is much more stable and less sensitive to the choice of the used time-steps.

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Cite This Article

Zhang, C., Savaidis, A. (2003). 3-D Transient Dynamic Crack Analysis by a Novel Time-Domain BEM. CMES-Computer Modeling in Engineering & Sciences, 4(5), 603–618.



cc This work is licensed under a Creative Commons Attribution 4.0 International License , which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
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