Abstract
This chapter presents a time-domain boundary element method (BEM) for transient dynamic crack analysis in two-dimensional, homogeneous, anisotropic and linear elastic solids. Strongly singular displacement boundary integral equations (DBIEs) are applied on the external boundary of the cracked body, while hypersingular traction boundary integral equations (TBIEs) are used on the crack-faces. The quadrature formula of Lubich is used for approximating the convolution integrals and a collocation method is adopted for the spatial discretization of the time-domain boundary integral equations (BIEs). By means of a suitable change of variable an efficient regularization technique is applied to compute the strongly singular and hypersingular integrals arising in the time-domain BEM. Discontinuous quadratic quarter-point elements are implemented at the crack-tips to capture the local square-root behavior of the crack-opening-displacements (CODs) properly. Numerical examples for computing the dynamic stress intensity factors (SIFs) are shown and discussed to demonstrate the robustness, the accuracy and the efficiency of the present time-domain BEM.
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García-Sánchez, F., Zhang, C., Sládek, J., Sládek, V. (2009). A 2D Time-Domain BEM for Dynamic Crack Problems in Anisotropic Solids. In: Manolis, G.D., Polyzos, D. (eds) Recent Advances in Boundary Element Methods. Springer, Dordrecht. https://doi.org/10.1007/978-1-4020-9710-2_9
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DOI: https://doi.org/10.1007/978-1-4020-9710-2_9
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