Abstract
A novel non-hypersingular time-domain traction BEM is presented for three-dimensional (3D) transient elastodynamic crack analysis. The initialboundary value problem is formulated as a set of nonhypersingular 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 timesteps. keyword: 3-D Time-domain boundary element method, Non-hypersingular boundary integral equations, Transient elastodynamic crack analysis, Elastodynamic stress intensity factors.
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