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The finite element discretized symplectic method for composite mode III cracks

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Indexed by:Journal Papers

Date of Publication:2015-05-01

Journal:ENGINEERING FRACTURE MECHANICS

Included Journals:SCIE、EI、Scopus

Volume:140

Page Number:43-60

ISSN No.:0013-7944

Key Words:Finite element discretized symplectic method; Stress intensity factor; Anti-plane; Composites; Interface crack

Abstract:A finite element discretized symplectic method is proposed to compute the stress intensity factors (SIFs) of interface cracks in multi-material composites subjected to anti-plane loading. The whole body is divided into a near field containing a crack to be solved analytically and a far field to be solved by conventional finite elements. In the near field, analytical series solutions are found by the Hamiltonian formulation. The unknown displacements of the densely populated finite elements are transformed to a handful of unknown coefficients of the series. After combining with the far field, the SIFs are actually the first few coefficients. (C) 2015 Elsevier Ltd. All rights reserved.

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