Open Access

ARTICLE

A 2-D Time-Domain BIEM for Dynamic Analysis of Cracked Orthotropic Solids¹

Ch. Zhang²

1 This paper is dedicated to Prof. Dr.-Ing. D. Gross, Technical University Darmstadt, Germany, on the occasion of his 60th birthday
2 Department of Civil Engineering, Hochschule Zittau/Görlitz, University of Applied Sciences, D-02763 Zittau, Germany.

Computer Modeling in Engineering & Sciences 2002, 3(3), 381-398. https://doi.org/10.3970/cmes.2002.003.381

Abstract

A 2-D time-domain boundary integral equation method (BIEM) for transient dynamic analysis of cracked orthotropic solids is presented in this paper. A finite crack in an unbounded orthotropic solid subjected to an impact loading is considered. Hypersingular time-domain traction boundary integral equations (BIEs) are applied in the analysis. A time-stepping scheme is developed for solving the hypersingular time-domain traction BIEs. The scheme uses a convolution quadrature formula for temporal and a Galerkin method for spatial discretizations. Numerical examples are given to show that the presented time-domain BIEM is highly efficient and accurate.

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Keywords

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