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Boundary element method analysis of stationary thermoelasticity problems in non‐homogeneous media
Author(s) -
Sládek J.,
Sládek V.,
Markechová I.
Publication year - 1990
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.1620300309
Subject(s) - boundary element method , mathematics , quadrature (astronomy) , mathematical analysis , homogeneous , integral equation , displacement (psychology) , gaussian integral , domain (mathematical analysis) , gaussian quadrature , representation (politics) , displacement field , nyström method , finite element method , structural engineering , physics , engineering , psychology , optics , combinatorics , politics , political science , law , psychotherapist
This paper presents an advanced BEM formulation for the solution of stationary problems of thermoelasticity taking into consideration the thermally induced non‐homogeneity. An iterative scheme is used to determine the displacement fields because the formulation contains a domain‐type integral with displacements. As compared with the existing BEM formulation, this one does not contain a domain integral of the temperature field and, furthermore, the integral representation of stresses is written in the regularized from. Consequently, all the integrals can be computed numerically by using the regular Gaussian quadrature.