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New integration scheme for the branch crack problem

โœ Scribed by Y.Z. Chen; Norio Hasebe

Publisher
Elsevier Science
Year
1995
Tongue
English
Weight
515 KB
Volume
52
Category
Article
ISSN
0013-7944

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โœฆ Synopsis

The branch crack problem in plane elasticity is modeled by a reasonable distribution of the dislocation. A new integration scheme is proposed in the following manner. A point dislocation is placed at the branch point and the distributed dislocations are assumed along all the branches. Thus, the singular integral equation and the constraint equation can be formulated for the branch crack problem. A semi-open quadrature rule is used, which can ensure that the number of unknowns is equal to the number of equations. The results of the numerical solution directly relate to the stress intensity factors at the branch tip. Finally, several numerical examples are given.

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