Analysis of multiple interfacial cracks in three-dimensional bimaterials using hypersingular integro-differential equation method

作者：Xu, Chun-hui^*; Qin, Tai-yan; Yuan, Li; Noda, Nao-Aki

来源：Applied Mathematics and Mechanics, 2009, 30(3): 293-301.

DOI：10.1007/s10483-009-0303-z

• stress intensity factor
• singular integral equation
• interface crack
• finite-part integral
• boundary element method

By using the concept of finite-part integral, a set of hypersingular integro-differential equations for multiple interfacial cracks in a three-dimensional infinite bimaterial subjected to arbitrary loads is derived. In the numerical analysis, unknown displacement discontinuities are approximated with the products of the fundamental density functions and power series. The fundamental functions are chosen to express a two-dimensional interface crack rigorously. As illustrative examples, the stress intensity factors for two rectangular interface cracks are calculated for various spacing, crack shape and elastic constants. It is shown that the stress intensity factors decrease with the crack spacing.

• 出版日期2009-3
• 单位中国农业大学