Green function for the problem of a plane containing a circular hole with surface effects

S. G. Mogilevskaya, A. V. Pyatigorets, S. L. Crouch

Research output: Contribution to journalArticlepeer-review

7 Scopus citations

Abstract

This paper presents the complex Green function for the plane-strain problem of an infinite, isotropic elastic plane containing a circular hole with surface effects and subjected to a force applied at a point outside of the hole. The analysis is based on the Gurtin and Murdoch [1975, "A Continuum Theory of Elastic Material Surfaces," Arch. Ration. Mech. Anal., 57, pp. 291-323; 1978, "Surface Stress in Solids," Int. J. Solids Struct., 14, pp. 431-440] model, in which the surface of the hole possesses its own mechanical properties and surface tension. Systematic parametric studies are performed to investigate the effects of both surface elasticity and surface tension on the distribution of hoop stresses on the boundary of the hole and on a line that connects the point of the applied force and the center of the hole.

Original languageEnglish (US)
Article number021008
JournalJournal of Applied Mechanics, Transactions ASME
Volume78
Issue number2
DOIs
StatePublished - 2011

Keywords

  • Green function
  • Gurtin and Murdoch model
  • circular hole
  • surface effects

Fingerprint Dive into the research topics of 'Green function for the problem of a plane containing a circular hole with surface effects'. Together they form a unique fingerprint.

Cite this