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Original Articles

A boundary integral equation method for a class of crack problems in anisotropic elasticity

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Pages 267-278 | Received 01 Mar 1982, Published online: 21 Dec 2010

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Read on this site (2)

Whye‐Teang Ang. (1999) A complex variable boundary element method for antiplane stress analysis around a crack in some nonhomogeneous bodies. Journal of the Chinese Institute of Engineers 22:6, pages 753-761.
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Mitsunori Denda. (1999) A dislocation and point force approach to the boundary element method for mixed mode crack analysis of plane anisotropic solids. Journal of the Chinese Institute of Engineers 22:6, pages 677-693.
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Articles from other publishers (22)

Majid R. Ayatollahi, Morteza Nejati & Saeid Ghouli. (2021) Crack tip fields in anisotropic planes: a review. International Journal of Fracture 234:1-2, pages 113-139.
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Whye‐Teong Ang. (2019) A boundary element approach for solving plane elastostatic equations of anisotropic functionally graded materials. Numerical Methods for Partial Differential Equations 35:4, pages 1396-1411.
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. 2013. Hypersingular Integral Equations in Fracture Analysis. Hypersingular Integral Equations in Fracture Analysis 185 190 .
Hui Wang & Qing-Hua Qin. (2012) A new special element for stress concentration analysis of a plate with elliptical holes. Acta Mechanica 223:6, pages 1323-1340.
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W.T. Ang & L. Athanasius. (2011) A boundary integral approach for plane analysis of electrically semi-permeable planar cracks in a piezoelectric solid. Engineering Analysis with Boundary Elements 35:4, pages 647-656.
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Yuri A. Melnikov. (2010) Efficient representations of Green’s functions for some elliptic equations with piecewise-constant coefficients. Central European Journal of Mathematics 8:1, pages 53-72.
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L. Athanasius, W.T. Ang & I. Sridhar. (2009) Numerical Green's functions for some electroelastic crack problems. Engineering Analysis with Boundary Elements 33:6, pages 778-788.
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C.-Y. Wang & M. Denda. (2007) 3D BEM for general anisotropic elasticity. International Journal of Solids and Structures 44:22-23, pages 7073-7091.
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J. Sladek, V. Sladek & Ch. Zhang. (2005) Stress analysis in anisotropic functionally graded materials by the MLPG method. Engineering Analysis with Boundary Elements 29:6, pages 597-609.
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W. T. Ang, D. L. Clements & M. Dehghan. (2016) CVBEM for a Class of Linear Crack Problems. Mathematics and Mechanics of Solids 5:3, pages 369-391.
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M. Denda & I. Kosaka. (1997) Dislocation and point-force-based approach to the special Green's Function BEM for elliptic hole and crack problems in two dimensions. International Journal for Numerical Methods in Engineering 40:15, pages 2857-2889.
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J. C. F. Telles, G. S. Castor & S. Guimarães. (2005) A numerical green's function approach for boundary elements applied to fracture mechanics. International Journal for Numerical Methods in Engineering 38:19, pages 3259-3274.
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W.T. Ang & G. Noone. (1993) A hypersingular-boundary integral equation method for the solution of an elastic multiple interacting crack problem. Engineering Analysis with Boundary Elements 11:1, pages 33-37.
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Hwu Chyanbin & Wen J. Yen. (1991) Green's functions of two-dimensional anisotropic plates containing an elliptic hole. International Journal of Solids and Structures 27:13, pages 1705-1719.
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M. Kamel & B.M. Liaw. (1991) Boundary element formulation with special kernels for an anisotropic plate containing an elliptical hole or a crack. Engineering Fracture Mechanics 39:4, pages 695-711.
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B.M. Liaw & M. Kamel. (1990) Stress intensity factors for cracks emanating from a curvilinear hole in an anisotropic plane under arbitrary loadings. Engineering Fracture Mechanics 36:5, pages 669-681.
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M. Kamel & B.M. Liaw. (1989) Green's functions due to concentrated moments applied in an anisotropic plane with an elliptic hole or a crack. Mechanics Research Communications 16:5, pages 311-319.
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W. T. Ang. (1987) A boundary integral equation for deformations of an elastic body with an arc crack. Quarterly of Applied Mathematics 45:1, pages 131-139.
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Ang Whye Teong & David L. Clements. (1987) A boundary integral equation method for the solution of a class of crack problems. Journal of Elasticity 17:1, pages 9-21.
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W. T. Ang & D. L. Clements. (1986) A boundary element method for determining the effect of holes on the stress distribution around a crack. International Journal for Numerical Methods in Engineering 23:9, pages 1727-1737.
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W. T. Ang. (1986) A boundary integral solution for the problem of multiple interacting cracks in an elastic material. International Journal of Fracture 31:4, pages 259-270.
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David L. Clements & M. Haselgrove. (2005) The boundary integral equation method for the solution of problems involving elastic slabs. International Journal for Numerical Methods in Engineering 21:4, pages 663-670.
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