Investigation of macrocrack-microcrack interaction problems in anisotropic elastic solids – Part I: General solution to the problem and application of the J-integral |
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Authors: | Yi-Heng Chen Hong Zuo |
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Affiliation: | (1) School of Civil Engineering and Mechanics, Xi'an Jiao Tong University, 710049, P.R. China |
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Abstract: | A general solution is derived for the plane problem of multiple microcracks near the tip in process zone of a semi-infinite macrocrack in an anisotropic elastic solid. The pseudo-traction method, addressed thoroughly in isotropic cases, is extended to anisotropic cases. A system of Fredholm integral equations, with difficulty in evaluation of the singular integrals, is solved by invoking the asymptotic behavior of the pseudo-tractions on the macrocrack faces. The interaction effect of the release of residual stresses due to near-tip microcracking is then evaluated. The J-integral analysis is also performed to give a consistency check of the solution and some useful conclusions. This revised version was published online in July 2006 with corrections to the Cover Date. |
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Keywords: | Macrocrack microcrack anisotropy J-integral. |
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