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A singular finite element on the mixed-mode bimaterial interfacial cracks

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Indexed by:期刊论文

Date of Publication:2012-07-01

Journal:International Journal of Computational Methods in Engineering Science and Mechanics

Included Journals:EI

Volume:13

Issue:4

Page Number:219-226

ISSN No.:15502287

Abstract:A singular finite element is presented to study the mixed-mode Dugdale-model-based bimaterial interfacial cracks. Firstly, the bimaterial interfacial crack problem is led into the symplectic space, and the symplectic dual equation is obtained and solved analytically. The cohesive stresses of the Dugdale model are treated as special solutions. Subsequently, the analytical solution is employed to develop a novel singular finite element, which depicts accurately the characteristic of displacements and singular stress fields near the crack tip. Finally, combining the singular finite element and conventional finite element method, the length of plastic zone, crack tip opening, and/or sliding displacement can be solved by iteration. Numerical examples are given to illustrate the validity of the present method. © 2012 Copyright Taylor and Francis Group, LLC.

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