Dynamic crack analysis in piezoelectric solids with non-linear electrical and mechanical boundary conditions by a time-domain BEM |
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Authors: | M Wünsche Ch Zhang F García-Sánchez A Sáez J Sladek V Sladek |
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Affiliation: | 1. Escuela Técnica Superior de Ingeniería, Universidad de Sevilla, Camino de los Descubrimientos s/n , Sevilla E-41092, Spain;2. Department of Aeronautics, Faculty of Engineering, Imperial College of London, South Kensington Campus, London SW7 2AZ, UK;1. School of Aerospace Engineering and Applied Mechanics, Tongji University, Shanghai 200092, People''s Republic of China;2. Materials Program, Department of Chemical and Materials Engineering, University of Kentucky, Lexington, KY 40506, USA;3. Jiangsu Key Laboratory of Engineering Mechanics, School of Civil Engineering, Southeast University, Nanjing Jiangsu 210096, People''s Republic of China |
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Abstract: | This paper presents advanced transient dynamic crack analysis in two-dimensional (2D), homogeneous and linear piezoelectric solids using non-linear mechanical and electrical crack-face boundary conditions. Stationary cracks in infinite and finite piezoelectric solids subjected to impact loadings are considered. For this purpose a time-domain boundary element method (TDBEM) is developed. A Galerkin-method is implemented for the spatial discretization, while a collocation method is applied for the temporal discretization. An explicit time-stepping scheme is obtained to compute the unknown boundary data including the generalized crack-opening-displacements (CODs) numerically. An iterative solution algorithm is developed to consider the non-linear semi-permeable electrical crack-face boundary conditions. Furthermore, an additional iteration scheme for crack-face contact analysis is implemented at time-steps when a physically meaningless crack-face intersection occurs. Several numerical examples are presented and discussed to show the effects of the electrical crack-face boundary conditions on the dynamic intensity factors. |
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