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Shape design sensitivity analysis for non‐linear anisotropic heat conducting solids and shape optimization by the BEM
Author(s) -
Meric R. A.
Publication year - 1988
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.1620260108
Subject(s) - material derivative , orthotropic material , boundary element method , shape optimization , sensitivity (control systems) , finite element method , anisotropy , optimal design , mathematics , mathematical analysis , boundary (topology) , boundary value problem , geometry , physics , thermodynamics , engineering , statistics , quantum mechanics , electronic engineering
Shape design sensitivity analysis (SDSA) expressions have been derived for non‐linear anisotropic heat conducting solid bodies by following the material derivative concept and adjoint variable method of optimal shape design given in the literature. The variation of a general integral functional has been described in terms of primary and adjoint quantities evaluated at the varying boundaries. As an example problem in shape optimization, optimal outer boundary profiles of an orthotropic solid body are obtained by the boundary element method (BEM), after reformulating the SDSA equations in a form which is most suitable for the BEM.