A MODE III INTERFACE CRACK WITH SURFACE STRAIN GRADIENT ELASTICITY

作者：Wang, Xu^*; Schiavone, Peter^*

来源：Journal of Integral Equations and Applications, 2016, 28(1): 123-148.

DOI：10.1216/JIE-2016-28-1-123

• Surface strain gradient elasticity
• Mode III interface crack
• isotropic bimaterial
• stress singularity
• bounded stresses
• complete solution
• Green's function method
• hyper-singular integro-differential equation

We study the contribution of surface strain gradient elasticity to the anti-plane deformations of an elastically isotropic bimaterial containing a mode III interface crack. The surface strain gradient elasticity is incorporated using an enriched version of the continuum-based surface/interface model of Gurtin and Murdoch. We obtain a complete semi-analytic solution valid everywhere in the solid (including at the crack tips) by reducing the boundary value problem to two coupled hyper-singular integro-differential equations which are solved numerically using Chebyshev polynomials and a collocation method. Our solution demonstrates that the presence of surface strain gradient elasticity on the crack faces leads to bounded stresses at the crack tips.

• 出版日期2016
• 单位华东理工大学