Transient dynamic stress intensity factors around a crack in a nonhomogeneous interfacial layer between two dissimilar elastic half-planes
Transient dynamic stress intensity factors around a crack in a nonhomogeneous interfacial layer between two dissimilar elastic half-planes
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DOI：
10.1016/s0020-7683(00)00231-6
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发表时间：
2001-05
影响因子：
3.6
通讯作者：
S. Itou
中科院分区：
文献类型：
--
作者：
S. Itou
得到了两个不同弹性半平面之间的非均匀界面层中裂纹周围的动应力。材料常数在层中连续变化。入射的冲击应力波以与裂纹面成直角的方式冲击裂纹。为了解决这个问题，界面层被分成几个均匀的层，具有不同的材料属性。边界条件减少到对偶积分方程使用Fourier-Laplace变换技术。在拉普拉斯变换域中，将裂纹面的差分展开成级数，求解方程组。使用施密特方法确定级数中的未知系数。在物理空间中数值反演了变换域中的应力强度因子。利用这些数值结果，可以估计一个非常薄的层的应力强度因子。
Dynamic stresses around a crack in a nonhomogeneous interfacial layer between two dissimilar elastic half-planes are obtained. The material constants vary continuously in the layer. An incoming shock stress wave impinges on the crack at right angles to the crack faces. In order to solve the problem, the interfacial layer is divided into several homogeneous layers that have different material properties. The boundary conditions are reduced to dual integral equations using the Fourier–Laplace transform technique. The equations are solved by expanding the differences of the crack faces in a series in the Laplace transform domain. The unknown coefficients in the series are determined using the Schmidt method. The stress intensity factors in the transform domain are inverted numerically in physical space. Using these numerical results, the stress intensity factors for a very thin layer can be estimated.