Stress fields caused by a dislocation in an anisotropic 3-layer system

• Published in: Science China. Physics, mechanics & astronomy Vol. 54; no. 3; pp. 542 - 551
• Main Authors: Wang, HuYi, Yin, YiHui, Yu, ShaoRong
• Format: Journal Article
• Language: English
• Published: Heidelberg SP Science China Press 01.03.2011; Springer Nature B.V
• Subjects: Astronomy; Boundary conditions; Classical and Continuum Physics; Crystallography; Dislocation density; Edge dislocations; Free surfaces; Integral equations; Mathematical analysis; Observations and Techniques; Physics; Physics and Astronomy; Research Paper; Screw dislocations; Stress distribution; Thickness; 3-layer system; stress field; dislocation; anisotropic
• ISSN: 1674-7348; 1869-1927
• DOI: 10.1007/s11433-010-4238-0

We investigated the stress fields caused by a dislocation in an anisotropic 3-layer system. Based on the image method, the original 3-layer system is firstly decomposed into three infinite homogenous systems. The image dislocation densities used as unknowns are then strategically distributed in order to satisfy the boundary conditions. The resulting governing equations are singular Cauchy integral ones. Removing the singular terms yields non-linear Fredhom integral equations of the second kind. The obtained stress fields satisfy the boundary conditions, i.e., the traction free condition on the free surface and continuous conditions across the interfaces. Also, a comparison with previous results is made and good agreement is achieved. Numerical investigations show that under the plain strain condition, layer thickness and dislocation position play stronger roles in the stress fields than crystallographic orientation, and these effects more significantly affect the stress fields caused by an edge dislocation than by a screw dislocation.