کد مقاله | کد نشریه | سال انتشار | مقاله انگلیسی | نسخه تمام متن |
---|---|---|---|---|
773687 | 1463215 | 2012 | 13 صفحه PDF | دانلود رایگان |

This paper presents a hypersingular time-domain boundary element method (TDBEM) for transient dynamic crack analysis in two-dimensional (2D), homogeneous, anisotropic and linear magnetoelectroelastic solids. Stationary cracks in infinite and finite solids under impact loading are investigated. A combination of the strongly singular displacement boundary integral equations (BIEs) and the hypersingular traction boundary integral equations is used in the present analysis. The Galerkin-method is applied for spatial discretization, while a collocation method is implemented for the temporal discretization. The time-domain fundamental solutions for linear magnetoelectroelastic solids are derived. Both temporal and spatial integrations can be carried out analytically. The line integrals over the unit circle arising in the time-domain fundamental solutions are computed numerically by standard Gaussian quadrature. An explicit time-stepping scheme is obtained to compute the unknown boundary data including the generalized crack-opening-displacements (CODs) numerically. To ensure a direct and an accurate computation of the dynamic intensity factors (IFs) from the generalized CODs, special crack-tip elements are implemented. Several numerical examples are shown to confirm the accuracy and the efficiency of the present hypersingular time-domain BEM.
► Transient dynamic crack analysis in linear magnetoelectroelastic solids is presented.
► For this purpose, a time-domain boundary element method (TDBEM) is developed.
► Dynamic fundamental solutions for linear magnetoelectroelastic materials are derived.
► An explicit time-stepping scheme is obtained to compute the discrete boundary data.
► Numerical examples show the effects of the coupled fields and the different loadings.
Journal: European Journal of Mechanics - A/Solids - Volume 32, March–April 2012, Pages 118–130