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A 2-D Hypersingular Time-Domain BEM for Dynamic Crack Analysis in Generally Anisotropic Solids

S. Beyer1, Ch. Zhang2, S. Hirose3, J. Sladek, V. Sladek4

1 Department of Civil Engineering, University of Applied SciencesZittau/Görlitz, D-02763 Zittau, Germany
2 Chair of Structural Mechanics, Department of Civil Engineering, University of Siegen, D-57068 Siegen, Germany
3 Department of Mechanical and Environmental Informatics, Tokyo Institute of Technology, Tokyo 152-8552, Japan
4 Institute of Construction and Architecture, Slovak Academy of Sciences, 84503 Bratislava, Slovakia

Structural Durability & Health Monitoring 2007, 3(3), 177-190.


This paper presents a hypersingular time-domain boundary element method (BEM) for transient dynamic crack analysis in two-dimensional (2-D), homogeneous, anisotropic and linear elastic solids. A finite crack in an infinite or a finite solid subjected to impact loading conditions is investigated. A combination of the classical displacement boundary integral equations (BIEs) on the external boundary and the hypersingular traction BIEs on the crack-faces is applied. The present BEM uses the time-domain dynamic fundamental solutions for anisotropic solids derived by Wang and Achenbach (1994). An explicit time-stepping scheme based on collocation method is developed. Numerical examples for computing the dynamic stress intensity factors (SIFs) are presented and discussed.


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Beyer, S., Zhang, C., Hirose, S., Sladek, J., Sladek, V. (2007). A 2-D Hypersingular Time-Domain BEM for Dynamic Crack Analysis in Generally Anisotropic Solids. Structural Durability & Health Monitoring, 3(3), 177–190.

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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