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A hybrid finite element analysis of interface cracks
Author(s) -
Lee Jin,
Gao Huajian
Publication year - 1995
Publication title -
international journal for numerical methods in engineering
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.421
H-Index - 168
eISSN - 1097-0207
pISSN - 0029-5981
DOI - 10.1002/nme.1620381410
Subject(s) - finite element method , stress intensity factor , crack tip opening displacement , singularity , materials science , crack closure , structural engineering , crack growth resistance curve , fissure , extended finite element method , mechanics , fracture mechanics , mathematical analysis , composite material , mathematics , engineering , physics
A versatile hybrid finite element scheme consisting of special crack‐tip elements and crack face contact elements is developed to analyse a partially closed interface crack between two dissimilar anisotropic elastic materials. The crack‐tip element incorporates higher‐order asymptotic solutions for an interfacial crack tip. These solutions are obtained from complex variable methods in Stroh formalism. For a closed interfacial crack tip, a generalized contact model in which the crack‐tip oscillation is eliminated is adopted in the calculation. The hybrid finite element modelling allows the stress singularity at an open and closed crack tip to be accurately treated. The accuracy and convergence of the developed scheme are tested with respect to the known interface crack solutions. Utilizing this numerical scheme, the stress intensity factors and contact zone are calculated for a finite interface crack between a laminated composite material.