Transient dynamic analysis of interface cracks in layered anisotropic solids under impact loading
Transient dynamic analysis of interface cracks in layered anisotropic solids under impact loading
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DOI：
10.1007/s10704-008-9262-y
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发表时间：
2009-05
影响因子：
2.5
通讯作者：
M. Wünsche;Ch. Zhang;J. Sládek;V. Sládek;S. Hirose;M. Kuna
中科院分区：
文献类型：
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作者：
M. Wünsche;Ch. Zhang;J. Sládek;V. Sládek;S. Hirose;M. Kuna
本文提出了二维层状各向异性线弹性固体中的瞬态弹性动力裂纹分析。为此，结合多域技术的时域边界元法（BEM）。时域边界元法应用了均质、各向异性和线弹性固体的时域弹性动力学基本解。边界积分方程的空间离散采用Galerkin方法，而卷积积分的时间离散采用配点法。采用显式时间步方法计算未知边界数据和裂纹张开位移。为了显示裂纹形状、材料各向异性、层间组合和动态载荷对动态应力强度因子和散射弹性波场的影响，给出了几个数值例子并进行了讨论。
Transient elastodynamic crack analysis in two-dimensional (2D), layered, anisotropic and linear elastic solids is presented in this paper. A time-domain boundary element method (BEM) in conjunction with a multi-domain technique is developed for this purpose. Time-domain elastodynamic fundamental solutions for homogenous, anisotropic and linear elastic solids are applied in the present time-domain BEM. The spatial discretization of the boundary integral equations is performed by a Galerkin-method, while a collocation method is adopted for the temporal discretization of the arising convolution integrals. An explicit time-stepping scheme is developed to compute the unknown boundary data and the crack-opening-displacements (CODs). To show the effects of the crack configuration, the material anisotropy, the layer combination and the dynamic loading on the dynamic stress intensity factors and the scattered elastic wave fields, several numerical examples are presented and discussed.