Alternating method applied to analyse Mode-III fracture problems with multiple cracks in an infinite domain

Ting, Kuen; Chang, C.S.; Chang, Kwei-Kuo

doi:10.1016/0029-5493(94)90080-9

Cited by 4 publications

(1 citation statement)

References 14 publications

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“…This work is a modified form of that reported by Ting et al (1994) where, in conjunction with the analytical solution for a single crack, application of the Schwarz-Neumann alternating method was made to analyze an infinite sheet with multiple cracks under mode III loading. Mews and Kuhn (1988) presented application of the modified BEM proposed by Snyder (1973) which eliminates the need for any crack discretization and involves the use of Green's function rather than the fundamental solution.…”

Section: Introductionmentioning

confidence: 99%

Relative Performance of Three Mesh-Reduction Methods in Predicting Mode III Crack-Tip Singularity

Mukhtar

2017

Lat. Am. j. solids struct.

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Due to their robustness in handling the inherent singularity difficulties associated with crack analysis, mesh-reduction methods present an avalanche of formulations in the literature which, sometimes, entails modifications to their conventional/standard forms for better results. Although such formulations provide a pool of alternative choices to the analyst, increase in their number requires some relative assessment between them in order to guarantee optimum choice of analysis tool. The present study assesses the applicability and relative performance of three such mesh-reduction methods, namely the radial basis function (RBF) method, the boundary element method (BEM), and the method of fundamental solution (MFS) for mode III crack analysis. In order to have a common ground for performance comparison, these methods are, first, tested in their most basic forms and simplest conventional formulations possible. Failure of some of them to provide reliable results calls for some enrichments. Yet, unless where necessary, efforts are made to ensure that unnecessary computationally expensive formulations are avoided. Consequently, the BEM formulation is not altered in any way, and modifications to both the RBF and MFS are limited to enrichment by the addition of, at most, one singular term and/or the domain-decomposition technique. Verification is achieved using the literature results and/or those obtained by FEM in this study. Summary of the relative advantages and limitations of the methods for mode III crack analysis is given to serve as a yard-stick based on which the choice of one over the others may be influenced.

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Section: Introductionmentioning

confidence: 99%

Relative Performance of Three Mesh-Reduction Methods in Predicting Mode III Crack-Tip Singularity

Mukhtar

2017

Lat. Am. j. solids struct.

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Applied alternating method to analyze the stress concentration around interacting multiple circular holes in an infinite domain

Ting

Chen

Yang

1999

International Journal of Solids and Structures

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Stress analysis of two-dimensional perforated plates using boundary element alternating method

Chen

Ting

Yang

2000

Computers & Structures

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In this paper, the boundary element alternating method (BEAM) is developed to study the stress concentration of a two-dimensional (2D) perforated plate. This method involves the iterative superposition between the boundary element solution of a bounded plate without holes and the analytical solution of an infinite 2D plate with a circular hole subjected to arbitrary normal and sheer loading until the required boundary conditions of the original problem are satisfied. Excellent agreements between the solutions of the present simplified procedure and the numerical methods (conventional finite element and boundary element techniques) are observed and show the advantages of the proposed method. (C) 2000 Elsevier Science Ltd. All rights reserved

show abstract

Alternating method applied to analyse Mode-III fracture problems with multiple cracks in an infinite domain

Cited by 4 publications

References 14 publications

Relative Performance of Three Mesh-Reduction Methods in Predicting Mode III Crack-Tip Singularity

Relative Performance of Three Mesh-Reduction Methods in Predicting Mode III Crack-Tip Singularity

Applied alternating method to analyze the stress concentration around interacting multiple circular holes in an infinite domain

Stress analysis of two-dimensional perforated plates using boundary element alternating method

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