Dynamic crack analysis in piezoelectric solids with non-linear crack-face boundary conditions by a time-domain BEM [chapter]

M. Wünsche, Ch. Zhang, F. Garcia-Sanchez, A. Saez, J. Sladek, V. Sladek
2010 Recent Developments in Boundary Element Methods  
This paper presents a hypersingular time-domain boundary element method for transient dynamic crack analysis in two-dimensional (2-D), homogeneous and linear piezoelectric solids. Stationary cracks in infinite and finite piezoelectric solids under impact loading are considered. A combination of the strongly singular displacement boundary integral equations (BIEs) and the hypersingular traction BIEs is used in the present analysis. A Galerkin method is implemented for the spatial discretisation,
more » ... ial discretisation, while a collocation method is applied for the temporal discretisation. An explicit time-stepping scheme is obtained to compute the unknown boundary data, including the generalised crack-opening-displacements, numerically. An iterative solution algorithm is developed to consider the non-linear, semi-permeable electrical crack-face boundary condition. Furthermore, an additional iteration scheme for crack-face contact analysis is implemented at time-steps where physically meaningless crack-face intersection occurs. Numerical examples are presented and discussed www.witpress.com, ISSN 1755-8336 (on-line) WIT Transactions on State of the Art in Science and Engineering, Vol , / 492 5 25 336 Recent Developments in Boundary Element Methods to show the effects of the electrical crack-face boundary conditions on the dynamic intensity factors.
doi:10.2495/978-1-84564-492-5/25 fatcat:tsrzfyr6prcp3hhi3gppmuuo7e