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Title: The finite element discretized symplectic method for composite mode III cracks
Author(s): Leung, Andrew Yee Tak 
Author(s): Xu, C. H.
Zhou, Z. H.
Xu, X. S.
Luo, X. W.
Issue Date: 2015
Publisher: Elsevier
Journal: Engineering Fracture Mechanics 
Volume: 140
Start page: 43
End page: 60
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.
DOI: 10.1016/j.engfracmech.2015.03.047
CIHE Affiliated Publication: No
Appears in Collections:CIS Publication

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