Open Access

ARTICLE

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

by Ch. Zhang², A. Savaidis³

1 This paper is dedicated to Prof. Dr.-Ing. G. Kuhn, University of Erlangen-Nürnberg, Germany, on the occasion of his 60th birthday.
2 Department of Civil Engineering, Hochschule Zittau/Görlitz, University of Applied Sciences, D-02763 Zittau, Germany.
3 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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Keywords

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