Fundamental solutions for singularities within a layered solid

Lifeng Ma, Jing Zhao, Alexander M. Korsunsky

Research output: Contribution to journalArticlepeer-review

2 Citations (Scopus)


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.

Original languageEnglish
Pages (from-to)37-46
Number of pages10
JournalEuropean Journal of Mechanics, A/Solids
Publication statusPublished - Sep 2012
Externally publishedYes


  • Configuration force
  • Fundamental solutions
  • Layered solids


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