Crack analysis in orthotropic media using the extended finite element method

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Asadpoure, A

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Type of Document: Article
DOI: 10.1016/j.tws.2006.07.007
Publisher: 2006
Abstract:
An extended finite element method has been proposed for modeling crack in orthotropic media. To achieve this aim a discontinuous function and two-dimensional asymptotic crack-tip displacement fields are used in a classical finite element approximation enriched with the framework of partition of unity. It allows modeling crack by standard finite element method without explicitly defining and re-meshing of surfaces of the crack. In this study, fracture properties of the models are defined by the mixed-mode stress intensity factors (SIFs), which are obtained by means of the domain form of the interaction integral (M-integral). Numerical simulations are performed to verify the approach, and the accuracy of the results is discussed by comparison with other numerical or (semi-) analytical methods. © 2006
Keywords:
Approximation theory ; Asymptotic stability ; Finite element method ; Function evaluation ; Integral equations ; Porous materials ; Stress intensity factors ; Extended finite element method (X-FEM) ; Interaction integral ; M-integral ; Orthotropic materials ; Crack propagation
Source: Thin-Walled Structures ; Volume 44, Issue 9 , 2006 , Pages 1031-1038 ; 02638231 (ISSN)
URL: https://www.sciencedirect.com/science/article/abs/pii/S0263823106001170