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Please use this identifier to cite or link to this item: http://ntour.ntou.edu.tw:8080/ir/handle/987654321/51948

Title: The generalized finite difference method for in-plane crack problem
Authors: J. Lei
Y. Xu
Y. Gu
C.M. Fan
Contributors: 國立臺灣海洋大學:河海工程學系
Keywords: Generalized finite difference method
Meshless method
Crack problems
Stress intensity factors
Anisotropic
Date: 2019-01
Issue Date: 2019-01-09T07:33:54Z
Publisher: Engineering Analysis with Boundary Elements
Abstract: Abstract: This paper documents the first attempt to apply the generalized finite difference method (GFDM), a recently-developed meshless method, for the numerical solution of problems with cracks in general anisotropic materials. To solve the resulting second-order elliptic partial differential equations with mixed boundary conditions, the explicit formulae for the partial derivatives of unknown functions in the equations are derived by using the Taylor series expansions combining with the moving-least squares approximation in this meshless GFD method. To deal with the strong discontinuous crack-faces, some special treatments are applied to modify this GFDM. The node distributions are locally refined in the vicinity of the crack-tips. By dividing the crack domain into two parts, the sub-domain method is also used for comparing with the single-domain method. The direct displacement extrapolation method, the path-independent J-integral and the interaction integral methods are, respectively, used to compute the stress intensity factors and compared. Finally, some classical crack examples are presented to show the effectiveness and accuracy of the proposed meshless method for crack problems.
Relation: 98 pp.147-156
URI: http://ntour.ntou.edu.tw:8080/ir/handle/987654321/51948
Appears in Collections:[河海工程學系] 期刊論文

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