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This paper presents a transient dynamic analysis of micro-cracks with arbitrary shape in two-dimensional, linear piezoelectric fiber composites. Interface cracks between fiber and matrix as well as cracks inside the matrix and fibers are investigated. For this purpose a symmetric Galerkin time-domain boundary element method in conjunction with a multi-domain technique is developed. The time discretization is performed by collocation method and time-domain fundamental solutions for piezoelectric materials are applied. Iterative solution algorithms are implemented to treat the non-linear semi-permeable electrical crack-face boundary conditions and for a crack-face contact analysis at time-steps when a physically unacceptable crack-face intersection occurs. Numerical examples are presented to show the effects of the micro-cracks, the material combinations and the dynamic loading on the intensity factors and the scattered wave fields.

numerical methods, modeling, simulation