Singularities interacting with interfaces incorporating surface elasticity under plane strain deformations

Author:

Wang Xu1,Schiavone Peter2

Affiliation:

1. East China University of Science and Technology, School of Mechanical and Power Engineering, Shanghai, China

2. University of Alberta, Mechanical Engineering Building Edmonton, Department of Mechanical Engineering, Alberta, Canada

Abstract

We consider problems involving singularities such as point force, point moment, edge dislocation and a circular Eshelby?s inclusion in isotropic bimaterials in the presence of an interface incorporating surface/interface elasticity under plane strain deformations and derive elementary solutions in terms of exponential integrals. The surface mechanics is incorporated using a version of the continuum-based surface/interface model of Gurtin and Murdoch. The results indicate that the stresses in the two half-planes are dependent on two interface parameters.

Publisher

National Library of Serbia

Subject

Applied Mathematics,Mechanical Engineering,Computational Mechanics

Cited by 2 articles. 订阅此论文施引文献 订阅此论文施引文献,注册后可以免费订阅5篇论文的施引文献,订阅后可以查看论文全部施引文献

1. New solutions for an Eshelby inclusion of arbitrary shape in a plane or two jointed half‐planes;ZAMM - Journal of Applied Mathematics and Mechanics / Zeitschrift für Angewandte Mathematik und Mechanik;2021-09-24

2. Interaction between two nanoscale elliptical holes with surface tension;Mathematics and Mechanics of Solids;2018-09-28

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