3-D Transient Dynamic Crack Analysis by a Novel Time-Domain BEM
3-D Transient Dynamic Crack Analysis by a Novel Time-Domain BEM
复制标题
通过新型时域 BEM 进行 3D 瞬态动态裂纹分析
DOI：
10.3970/cmes.2003.004.603
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发表时间：
2003
影响因子：
2.4
通讯作者：
A. Savaidis
中科院分区：
文献类型：
--
作者：
Ch. Zhang;A. Savaidis
提出了一种新的三维瞬态弹性动力裂纹分析的非超奇异时域牵引边界元法。将初边值问题表示为一组非超奇异的时域牵引边界积分方程。为了求解时域牵引边界积分方程，采用了基于Lubich（1988 a，B; 1994）卷积求积公式的时间离散和空间离散的配点方法。数值算例给出了一个无界固体下拉伸和剪切冲击载荷下的硬币形裂纹。与传统的时域边界元法的比较表明，新的时域方法是更稳定和更不敏感的时间步长的选择。关键字：三维时域边界元法，非超奇异边界积分方程，瞬态弹动裂纹分析，弹动应力强度因子。
A novel non-hypersingular time-domain traction BEM is presented for three-dimensional (3D) transient elastodynamic crack analysis. The initialboundary value problem is formulated as a set of nonhypersingular time-domain traction boundary integral equations (BIEs). To solve the time-domain traction BIEs, a time-stepping scheme based on the convolution quadrature formula of Lubich (1988a,b; 1994) for temporal discretization and a collocation method for spatial discretization is adopted. Numerical examples are given for an unbounded solid with a penny-shaped crack under a tensile and shear impact loading. A comparison of the present time-domain BEM with the conventional one shows that the novel time-domain method is much more stable and less sensitive to the choice of the used timesteps. keyword: 3-D Time-domain boundary element method, Non-hypersingular boundary integral equations, Transient elastodynamic crack analysis, Elastodynamic stress intensity factors.