3D dynamic stress intensity factors around two parallel square cracks in an infinite elastic medium under impact load
3D dynamic stress intensity factors around two parallel square cracks in an infinite elastic medium under impact load
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DOI：
10.1007/s004190000125
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发表时间：
2001-01
影响因子：
2.8
通讯作者：
S. Itou
中科院分区：
文献类型：
--
作者：
S. Itou
本文研究了无限大弹性介质中两平行裂纹周围的瞬态应力。裂缝的形状被假定为正方形。入射的冲击应力波冲击两个垂直于表面的裂纹。利用傅立叶变换技术，将应力和位移的混合边值方程化为拉普拉斯变换域上的两组对偶积分方程。这些方程的求解方法是将裂纹表面位移的差展开成裂纹外等于零的函数的双级数。系列中的未知系数使用施密特方法计算。将定义在拉普拉斯变换域的应力强度因子数值反演到物理空间。在上下裂纹形状相同的假设下，对瞬态动应力强度因子进行了数值计算。
Transient stresses around two parallel cracks in an infinite elastic medium are investigated in the present paper. The shape of the cracks is assumed to be square. Incoming shock stress waves impinge upon the two cracks normal to tzheir surfaces. The mixed boundary value equations with respect to stresses and displacements are reduced to two sets of dual integral equations in the Laplace transform domain using the Fourier transform technique. These equations are solved by expanding the differences in the crack surface displacements in a double series of a function that is equal to zero outside the cracks. Unknown coefficients in the series are calculated using the Schmidt method. Stress intensity factors defined in the Laplace transform domain are inverted numerically to the physical space. Numerical calculations are carried out for transient dynamic stress intensity factors under the assumption that the shape of the upper crack is identical to that of the lower crack.