Fracture Analysis of a Detached Rigid Inhomogeneity in a Piezoelectric Solid

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آنالیز مکانیک شکست یک ناهمگونی صلب محاط شده در محیط پیزوالکتریک

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Type of Document: M.Sc. Thesis
Language: English
Document No: 45268 (53)
University: Sharif University of Technology, International Campus, Kish Island
Department: Science and Engineering
Advisor(s): Mohammadi Shoja, Hossein; Eskandari, Morteza
Abstract:
The analytical treatment of fracture analysis of a rigid disk inhomogeneity embedded in a piezoelectric medium is addressed. By virtue of the potential functions introduced by Ding for piezoelectric materials, the governing equations corresponding to this mixed boundary value problem are written as a set of triple integral equations. With the aid of some mathematical techniques, the obtained integral equations are reduced to a Fredholm integral equation and solved by a well-known numerical method. Some numerical results for the stress intensity factors at the tip of the penny-shaped crack are presented. The limiting case of an isotropic solid considered by Selvadurai is used for verification
Keywords:
Piezoelectric Materials ; Fracture Mechanics ; Integral Equation ; Interaction Between Inclution and Penny Shaped Crack

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