Boundary Element Analysis in Computational Fracture Mechanics

Cruse, T. A.

doi:10.1007/978-94-009-1385-1

Cited by 253 publications

(204 citation statements)

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“…Typically this is performed using finite element methods [1,2], boundary element methods [3,4], or boundary collocation of crack-tip stress-field expansions [5]. For the modelling of crack extensions, boundary-type methods have some advantages over domain discretization methods due to the ease in extending the crack front.…”

Section: Introductionmentioning

confidence: 99%

Stress intensity factor computation using the method of fundamental solutions

2005

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SUMMARYThe method of fundamental solutions is applied to the computation of stress intensity factors in linear elastic fracture mechanics. The displacements are approximated by linear combinations of the fundamental solutions of the Cauchy-Navier equations of elasticity and the leading terms for the displacement near the crack tip. Two algorithms are developed, one using a single domain and one using domain decomposition. Numerical results are given.

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Section: Introductionmentioning

confidence: 99%

Stress intensity factor computation using the method of fundamental solutions

2005

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“…For example, there have been methods based on the quarter-point finite element (Barsoum 1974), the enriched finite element method (Gifford and Hilton 1978), the boundary collocation method (Newman 1971), the integral equation method (Sneddon 1973), the body force method (Nisitani 1985), the boundary elements method (Cruse 1988), and the dislocation method (Chen and Hasebe 1995), plus mesh-free methods such as the element-free Galerkin method (Fleming et al 1997). To avoid remeshing in modeling crack problems, diverse techniques were proposed, including the incorporation of a discontinuous mode on an element level (Oliver 1995), a moving mesh technique (Rashid 1998), and an enrichment technique based on a partition-of-unity X-FEM (Belytschko and Black1999).…”

Section: Introductionmentioning

confidence: 99%

A New Scheme for Crack Growth Modeling by Coupling Modified Quarter Point Crack-Tip Element and the Level Set Method

Abdelaziz

2013

Jou. Eng. Res.

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Abstract:In this paper, an efficient, numerical procedure is presented to track crack growth modeling without remeshing. The method's key feature is the coupling of a modified quarter-point crack tip element (MQPE) with the level set method (LSM) for crack growth problems. The LSM was used to represent the crack location, including the location of crack tips. The MQPE was used to compute the stress and displacement fields necessary for determining the rate of crack growth. Numerical test cases including various geometrical exceptions (the center-crack plate specimen, the single edge-crack plate specimen, and the double-edge crack plate) demonstrate the accuracy, robustness, and efficiency of the MQPE/LSM coupling. The extrapolation technique was used to estimate numerically the calibration factor for various specimens. This work confirms the feasibility of the MQPE/LSM to model accurately the singularity existing in the vicinity of the cracks. It allows an economic and adequate calculation of the stress intensity factors, which can be introduced into the various criteria of fracture or laws of propagation of the crack. The new method reduces the need for remeshing, and results agree well with reference data.

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“…Cracked structures on an aircraft could lead to a catastrophic failure because the tensile strengths of composite laminates are significantly reduced when stress concentrations such as cracks and cutouts are present. Solutions to these problems in anisotropic elasticity are therefore of great interest in the design and strength analysis of composite structures [1][2][3][4][5][6][7][8][9][10][11]. The Finite Element(FE) and Boundary Element(BE) are the most extensively used methods for the analysis of engineering structures.…”

Section: Introductionmentioning

confidence: 99%

“…The analytical formulation of the direct BIE for plane anisotropic elasticity may be developed by following the same steps as in the isotropic case [3].…”

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confidence: 99%