The finite element discretized symplectic method for composite mode III cracks
Author(s)
Author(s)
Xu, C. H.
Zhou, Z. H.
Xu, X. S.
Luo, X. W.
Date Issued
2015
Publisher
Elsevier
Journal
Engineering Fracture Mechanics
Volume
140
Start page
43
End page
60
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.
SFU Affiliated Publication
No
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