A consistent finite element technique for recovery of distributed reactions and surface tractions

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Abstract

An effective technique is presented for recovering surface tractions and distributed reaction forces from finite element displacement solutions of structural mechanics problems. Nodal values of surface tractions and assumed trial functions are used to represent the distribution of surface stresses. Equations obtained from the familiar Galerkin formulation are used to compute the nodal traction values. The method is demonstrated to be efficient and highly accurate, even in the presence of jump conditions or singularities. Extensions of the method are possible for recovering secondary solution variables in non‐structural finite element applications.

Original languageEnglish (US)
Pages (from-to)2013-2025
Number of pages13
JournalInternational Journal for Numerical Methods in Engineering
Volume21
Issue number11
DOIs
StatePublished - Nov 1985

ASJC Scopus subject areas

  • Numerical Analysis
  • General Engineering
  • Applied Mathematics

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