Elastodynamic Stress Intensity Factor History for a Semi-infinite Crack Under Three-dimensional Transient Loading

LI Xiang-Beng, L. Chuntu
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引用次数: 4

Abstract

The dynamic stress intensity factor history for a semi-infinite crack in an otherwise unbounded elastic body is analyzed. The crack is subjected to a pair of suddenly-applied point loadings on its faces at a distance L away from the crack tip. The exact expression for the mode I stress intensity factor as a function of time is obtained. The method of solution is based on the direct application of integral transforms, the Wiener-Hopf technique and the Cagniard-de Hoop method. Due to the existence of the characteristic length in loading, this problem was long believed a knotty problem. Some features of the solutions are discussed and graphical result for numerical computation is presented.
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三维瞬态载荷作用下半无限裂纹的弹动应力强度因子历史
分析了非无界弹性体中半无限裂纹的动应力强度因子历史。在距离裂纹尖端L的距离处,裂纹受到一对突然施加的点载荷。得到了I型应力强度因子随时间的精确表达式。求解方法是直接应用积分变换、Wiener-Hopf技术和Cagniard-de Hoop方法。由于荷载中特征长度的存在,这一问题一直被认为是一个棘手的问题。讨论了解的一些特点,并给出了数值计算的图形结果。
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