3-D dynamic interaction between a penny-shaped crack and a thin interlayer joining two elastic half-spaces
3-D dynamic interaction between a penny-shaped crack and a thin interlayer joining two elastic half-spaces
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便士形裂纹与连接两个弹性半空间的薄夹层之间的 3-D 动态相互作用
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发表时间：
2009
期刊：
影响因子：
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通讯作者：
Chuanzeng Zhang
中科院分区：
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作者：
V. Mykhas’kiv;V. Stankevych;I. Zhbadynskyi;Chuanzeng Zhang
用改进的边界积分方程法或边界元法研究了连接两个弹性半空间的薄弹性夹层与硬币形裂纹的三维弹性动力相互作用问题。硬币形裂纹嵌入在其中一个半空间中，垂直于夹层，并在其表面上受到时谐拉伸载荷。有效的“弹簧”的边界条件，以近似的薄层的影响，在数学模型。采用修正的绿色函数导出了位移和应力分量的积分表达式，该函数完全满足“类弹簧”边界条件。然后，在裂纹表面上的动态加载条件的应用结果在裂纹张开位移的边界积分方程（BIE）只在裂纹表面。开发了数值求解边界积分方程的求解程序。给出了Ⅰ型动态应力强度因子（SIF）的数值结果，并讨论了Ⅰ型动态应力强度因子随裂纹前沿点角坐标、无量纲波数、材料失配和裂纹层间距的变化。
Three-dimensional (3-D) elastodynamic interaction between a penny-shaped crack and a thin elastic interlayer joining two elastic half-spaces is investigated by an improved boundary integral equation method or boundary element method. The penny-shaped crack is embedded in one of the half-spaces, perpendicular to the interlayer and subjected to a time-harmonic tensile loading on its surfaces. Effective “spring-like” boundary conditions are applied to approximate the effects of the thin layer in the mathematical model. Integral representations for the displacement and the stress components are derived by using modified Green’s functions, which satisfy the “spring-like” boundary conditions identically. Then, application of the dynamic loading condition on the crack-surfaces results in a boundary integral equation (BIE) for the crack-opening-displacement over the crack-surfaces only. A solution procedure is developed for solving the BIE numerically. Numerical results for the mode-I dynamic stress intensity factor (SIF) are presented and discussed to show the variations of the mode-I dynamic SIF with the angular coordinate of the crack-front points, the dimensionless wave number, the material mismatch and the crack-layer distance.