Numerical solution of a three-part mixed boundary value problem of linear elastostatics

E. N. Mastrojannis*, L. M. Keer, T. Mura

*Corresponding author for this work

Research output: Contribution to journalArticle

Abstract

A three-part mixed boundary value problem for the half-space z ≥ 0 (with Neumann conditions prescribed over a finite doubly connected region S2 and Dirichlet conditions prescribed over the remaining of the z = 0 plane) is formulated to result into a system of two coupled integral equations. A procedure is outlined for the approximate solution of the problem under consideration for an arbitrary shape of the region S2. For the special axisymmetric case when the region S2 is a circular annulus of inner and outer radii a and b, respectively, the system of integral equations is reduced to a Fredholm integral equation of the second kind with a continuous non-symmetric kernel. The resulting integral equation is solved numerically and the results are found to be in good agreement with those previously published.

Original languageEnglish (US)
Pages (from-to)93-101
Number of pages9
JournalComputer Methods in Applied Mechanics and Engineering
Volume39
Issue number1
DOIs
StatePublished - Jul 1983

ASJC Scopus subject areas

  • Computational Mechanics
  • Mechanics of Materials
  • Mechanical Engineering
  • Physics and Astronomy(all)
  • Computer Science Applications

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