A 2-D Time-Domain BIEM for Dynamic Analysis of Cracked Orthotropic Solids
A 2-D Time-Domain BIEM for Dynamic Analysis of Cracked Orthotropic Solids
复制标题
用于裂纹正交各向异性固体动态分析的二维时域 BIEM
DOI：
10.3970/cmes.2002.003.381
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发表时间：
2002
影响因子：
2.4
通讯作者：
Ch. Zhang
中科院分区：
文献类型：
--
作者：
Ch. Zhang
本文提出了一种求解正交各向异性裂纹体瞬态动力学问题的二维时域边界积分方程法。研究了无限大正交各向异性体中受冲击载荷作用的有限裂纹问题。在分析中应用了超奇异时域牵引边界积分方程。提出了一种求解超奇异时域牵引边界元的时间步进格式。该计划使用卷积求积公式的时间和空间离散的Galerkin方法。数值算例表明，本文提出的时域边界元法是一种高效、精确的方法。关键词：时域边界积分方程法，二维正交异性体，弹性动力裂纹分析，弹性动力应力强度因子。
A 2-D time-domain boundary integral equation method (BIEM) for transient dynamic analysis of cracked orthotropic solids is presented in this paper. A finite crack in an unbounded orthotropic solid subjected to an impact loading is considered. Hypersingular timedomain traction boundary integral equations (BIEs) are applied in the analysis. A time-stepping scheme is developed for solving the hypersingular time-domain traction BIEs. The scheme uses a convolution quadrature formula for temporal and a Galerkin method for spatial discretizations. Numerical examples are given to show that the presented time-domain BIEM is highly efficient and accurate. keyword: Time-domain boundary integral equation method, 2-D orthotropic solids, elastodynamic crack analysis, elastodynamic stress intensity factors.