A through interface crack between a ±45° transversely isotropic pair of materials
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Abstract
In this study, the first term of the asymptotic displacement and stress fields is determined analytically for a straight through crack along the interface between a ±45° transversely isotropic pair of materials. Since with this configuration, there is full coupling between the modes, this problem requires a three-dimensional treatment. To calculate stress intensity factors, a three-dimensional M-integral is derived using the asymptotic fields as auxiliary solutions. The displacement extrapolation method is derived as well, and used to check the results obtained by the M-integral. Two numerical test cases are employed to examine the accuracy of both methods. Results obtained for other mechanical problems are presented as well.
Keywords
Fiber reinforced material interface crack stress intensity factors three-dimensional J-integral three-dimensional M-integral transversely isotropic material.Preview
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