Journal of Integral Equations and Applications
- J. Integral Equations Applications
- Volume 28, Number 1 (2016), 123-148.
A mode III interface crack with surface strain gradient elasticity
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.
J. Integral Equations Applications, Volume 28, Number 1 (2016), 123-148.
First available in Project Euclid: 15 April 2016
Permanent link to this document
Digital Object Identifier
Mathematical Reviews number (MathSciNet)
Zentralblatt MATH identifier
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
Wang, Xu; Schiavone, Peter. A mode III interface crack with surface strain gradient elasticity. J. Integral Equations Applications 28 (2016), no. 1, 123--148. doi:10.1216/JIE-2016-28-1-123. https://projecteuclid.org/euclid.jiea/1460727507