Analytic solutions of multiple moving cracks in an orthotropic layer bonded to an orthotropic FGM coating

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• 作者：Mojtaba Ayatollahi^a ; ^{mo.ayatollahy@gmail.com" class="auth_mail" title="E-mail the corresponding author} ; ^{mo_ayatollahy@yahoo.com" class="auth_mail" title="E-mail the corresponding author} ; Rasul Bagheri^b ; Mahsa Nourazar^a ; Mojtaba Mahmoudi Monfared^c ; S. Mahmoud Mousavi^d
• 关键词：Antiplane ; Orthotropic strip ; Imperfect FGM orthotropic coating ; Multiple cracks ; Stress intensity factors
• 刊名：Applied Mathematics and Computation
• 出版年：2017
• 出版时间：15 January 2017
• 年：2017
• 卷：293
• 期：Complete
• 页码：394-403
• 全文大小：935 K

文摘

In this paper, the dynamic behavior of an orthotropic substrate weakened by moving cracks and reinforced by a non-homogenous coating is studied. First, the solution to the screw dislocation in an orthotropic strip with imperfect orthotropic functionally graded coating is obtained. Then, for the anti-plane analysis of cracks, the screw dislocations are distributed along the crack lines and the dislocation solution is used to derive integral equations for dislocation density functions on the surface of cracks. The effects of non-homogeneity parameters, geometrical parameters and bonding coefficient on the stress intensity factors are investigated.