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Published in:
2016 | OriginalPaper | Chapter
Numerical Analysis of Interface Cracks in Layered Piezoelectric Solids
Authors : Michael Wünsche, Chuanzeng Zhang, Jan Sladek, Vladimir Sladek
Published in: Recent Trends in Fracture and Damage Mechanics
Publisher: Springer International Publishing
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Abstract
In this paper, transient dynamic crack analysis in two-dimensional, layered, anisotropic and linear piezoelectric solids is presented. For this purpose, a time-domain boundary element method (BEM) is developed. The layered piezoelectric solids are modelled by the multi-domain BEM formulation. The time-domain dynamic fundamental solutions for homogeneous linear piezoelectric solids are applied in the present BEM. The spatial discretization of the boundary integral equations is performed by a Galerkin-method, while a collocation method is implemented for the temporal discretization of the arising convolution integrals. An explicit time-stepping scheme is obtained to compute the discrete boundary data including the generalized crack-opening-displacements (CODs). To show the effects of the interface, the material combinations and the dynamic loading on the intensity factors, several numerical examples are presented and discussed.