A boundary element algorithm using compatible boundary displacements and tractions

R. Piltner, R. L. Taylor

Research output: Contribution to journalArticlepeer-review

12 Scopus citations

Abstract

With the aid of Muskhelishvili's complex plane elasticity solution representation compatible displacement and stress fields are constructed. The complex functions in these formulas are represented by Cauchy integrals, which are discretized along the boundary with the aid of complex shape functions for each boundary element. The constructed displacement and stress functions satisfy the Navier equations and the equilibrium equations, respectively. The use of fifth order complex basis functions with continuous second complex derivatives gives numerical results of high accuracy.
Original languageEnglish
Pages (from-to)1323-1341
Number of pages19
JournalInternational Journal for Numerical Methods in Engineering
Volume29
Issue number6
DOIs
StatePublished - May 1990

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