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RESEARCH ON THE DYNAMIC FRACTURE BEHAVIOR OF FUNCTIONALLY GRADED MATERIAL WITH PERIODIC INTERFACE CRACKS

机译:具有周期性界面裂缝的功能渐变材料动态断裂行为的研究

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摘要

In this paper, the periodic interface dynamic cracks problem in functionally graded material is studied under impact loads. By using Fourier and Laplace integral transform techniques, the governing equation in Laplace domain are obtained. Introducing dislocation density function, the solution of boundary value problem is converted into a singular integral equation with Hilbert-type singular kernel by using boundary conditions. The resulting singular integral equation is solved numerically and the periodic cracks tip field is examined. Numerical results are figured out to show the effects of crack spacing, geometrical parameters and the material non-homogeneity on the stress intensity factors.
机译:在本文中,在冲击载荷下研究了功能梯度材料中的周期性接口动态裂缝问题。通过使用傅立叶和拉普拉斯积分变换技术,获得了拉普拉斯域的控制方程。引入位错密度函数,通过使用边界条件将边值问题的解决方案与Hilbert型奇异内核一起转换成单个整体方程。在数值上求解所得到的奇异积分方程,检查周期性裂缝尖端场。数字结果被图示出了裂缝间距,几何参数和材料非均匀性对应力强度因子的影响。

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