Effective spring boundary conditions for a damaged interface between dissimilar media in three-dimensional case

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• 作者：Mikhail V. Golub ; ^a ; ^{m_golub@inbox.ru" class="auth_mail" title="E-mail the corresponding author} ; Olga V. Doroshenko^a ; ^{oldorosh@mail.ru" class="auth_mail" title="E-mail the corresponding author} ; Anders Bostr&ouml ; m^b ; ^{anders.bostrom@chalmers.se" class="auth_mail" title="E-mail the corresponding author}
• 关键词：Imperfect contact ; Delamination ; Elastic waves ; Spring boundary condition ; Spring stiffness ; Crack ; Diffraction ; Dissimilar materials
• 刊名：International Journal of Solids and Structures
• 出版年：2016
• 出版时间：1 March 2016
• 年：2016
• 卷：81
• 期：Complete
• 页码：141-150
• 全文大小：1168 K

文摘

Elastic waves in the presence of a damaged interface between two dissimilar elastic media is investigated in the three-dimensional case. The damaged is modeled as a stochastic distribution of equally sized circular cracks which is transformed into a spring boundary condition. First the scattering by a single circular interface crack between two dissimilar half-spaces is investigated and solved explicitly for normally incident waves in the low frequency limit. The transmission by a distribution of cracks is then determined and is transformed into a spring boundary condition, where effective spring stiffnesses are expressed in terms of elastic moduli and damage parameters. A comparison with previous results for a periodic distribution of cracks shows good agreement.