Weight functions for interface cracks in dissimilar anisotropic materials

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• 作者：Ma Lifeng and Chen Yiheng
• 关键词：weight function ; Bueckner's work conjugate integral ; eigenfunction expansion form ; dissimilar materials ; interface crack
• 刊名：Acta Mechanica Sinica
• 出版年：2004
• 出版时间：February, 2004
• 年：2004
• 卷：20
• 期：1
• 页码：82-88
• 全文大小：479.6 KB

文摘

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.