Weight functions for interface cracks in dissimilar anisotropic materials |
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Authors: | Ma Lifeng Chen Yiheng |
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Institution: | (1) School of Civil Engineering and Mechanics, Xi'an Jiaotong University, 710049 Xi'an, China |
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Abstract: | Bueckner's work conjugate integral customarily adopted for linear elastic materials is established for an interface crack
in dissimilar anisotropic materials. The difficulties in separating Stroh's six complex arguments involved in the integral
for the dissimilar materials are overcome and then the explicit function representations of the integral are given and studied
in detail. It is found that the pseudo-orthogonal properties of the eigenfunction expansion form (EEF) for a crack presented
previously in isotropic elastic cases, in isotopic bimaterial cases, and in orthotropic cases are also valid in the present
dissimilar arbitrary anisotropic cases. The relation between Bueckner's work conjugate integral and theJ-integral in these cases is obtained by introducing a complementary stress-displacement state. Finally, some useful path-independent
integrals and weight functions are proposed for calculating the crack tip parameters such as the stress intensity factors.
The project supported by the National Natural Science Foundation of China and the Graduate School of Xi'an Jiaotong University |
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Keywords: | weight function Bueckner's work conjugate integral eigenfunction expansion form dissimilar materials interface crack |
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