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The multiple reciprocity method applied to thermal stress problems
Author(s) -
Neves A. C.,
Brebbia C. A.
Publication year - 1992
Publication title -
international journal for numerical methods in engineering
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.421
H-Index - 168
eISSN - 1097-0207
pISSN - 0029-5981
DOI - 10.1002/nme.1620350302
Subject(s) - reciprocity (cultural anthropology) , isotropy , boundary element method , finite element method , mathematics , boundary value problem , mathematical analysis , thermal , boundary (topology) , domain (mathematical analysis) , structural engineering , physics , engineering , thermodynamics , psychology , social psychology , quantum mechanics
In this paper, the multiple reciprocity boundary element method is applied to transform domain integrals due to thermal loadings into equivalent boundary integrals. The resulting formulation is restricted to two‐dimensional elastic and isotropic materials with any steady‐state temperature distribution, including internal heat generation. Several numerical examples are presented to validate the formulation and demonstrate the accuracy of the method.