A single-region time domain BEM for dynamic crack problems.

*(English)*Zbl 0918.73306Summary: A time domain boundary element method, which allows the analysis of dynamic crack problems by using a single-region formulation, is presented. The method generates the distinct set of boundary integral equations by applying the displacement equation to one of the crack surfaces and the traction equation to the other. The boundary of the structure is divided into continuous, semi-discontinuous and discontinuous quadratic elements. The temporal variation of boundary displacements and tractions is approximated by piecewise linear and constant functions, respectively. The dynamic stress intensity factors are calculated using the crack opening displacements and the path independent \(\widehat J\)-integral. This method is used to study dynamic behaviour of stationary cracks in finite and infinite domains in two-dimensional analysis. The results for two examples are compared with other reported solutions, showing good agreement.

##### MSC:

74S15 | Boundary element methods applied to problems in solid mechanics |

74R99 | Fracture and damage |