Traction boundary elements for cracks in anisotropic solids

A general mixed boundary element approach based on displacement and traction integral equations for anisotropic media is presented. Integration of the singular and hypersingular kernels along general quadratic line elements is carried out by analytical transformation of the integrals into regular on...

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Bibliographic Details
Published in:Engineering analysis with boundary elements 2004-06, Vol.28 (6), p.667-676
Main Authors: GARCIA, F, SAEZ, A, DOMINGUEZ, J
Format: Article
Language:English
Subjects:
Boundary-integral methods
Computational techniques
Exact sciences and technology
Fracture mechanics (crack, fatigue, damage...)
Fundamental areas of phenomenology (including applications)
Mathematical methods in physics
Physics
Solid mechanics
Structural and continuum mechanics
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Summary:A general mixed boundary element approach based on displacement and traction integral equations for anisotropic media is presented. Integration of the singular and hypersingular kernels along general quadratic line elements is carried out by analytical transformation of the integrals into regular ones, which are numerically evaluated, plus simple singular integrals with known analytical solution. This is achieved by the simple election of an integration variable, which is consistent with that of the anisotropic fundamental solution. The generality of the method allows for the use of curved elements and discontinuous quarter-point elements to represent Fracture Mechanics problems. Stress Intensity Factors are accurately computed from the crack opening displacement at the nodes of the quarter-point element. Several examples, including curved crack geometries and different material properties are presented.
ISSN:0955-7997
1873-197X
DOI:10.1016/j.enganabound.2003.08.005