Fundamental solutions for singularities within a layered solid

Journal article

In this paper, the generic fundamental solution for the elastic layered solid with a singularity contained within the solid is derived with the help of the superposition principle. The singularity can be a point force, an edge dislocation, a point moment, a point residual strain nucleus, and so on. The degenerate cases are also derived. The solutions can be used as kernel functions (i.e., Green's functions) to formulate integral equations for problems of the layered solids using the Green's function method. The application of the solutions to evaluate the configuration force on a concentrated point strain near a surface layer is performed. © 2011 Elsevier Masson SAS. All rights reserved.

Authors: Ma, L; Zhao, J; Korsunsky, A

• Journal: European Journal of Mechanics, A/Solids
• Volume: 35
• Pages: 37-46
• Publication date: 2012-09-01
• DOI: 10.1016/j.euromechsol.2012.01.002
• ISSN: 0997-7538
• Language: English
• Keywords: Layered solids; Configuration force; Fundamental solutions