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Two‐dimensional shape optimal design by the finite element method
Author(s) -
Queau J. P.,
Trompette Ph.
Publication year - 1980
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.1620151104
Subject(s) - finite element method , rotational symmetry , shape optimization , penalty method , boundary (topology) , mathematics , plane (geometry) , optimal design , boundary knot method , geometry , function (biology) , stress (linguistics) , boundary value problem , structural engineering , plane stress , mathematical analysis , mathematical optimization , boundary element method , engineering , linguistics , statistics , philosophy , evolutionary biology , biology
This paper is concerned with the optimal shape design of plane or axisymmetric structures in order to minimize the stress concentration factor along the boundary. This boundary is described by straight lines and circles. The structure is analysed using the finite element method, and the optimization procedure is based on an extended interior penalty function. Three example problems are reported.