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The ε‐Relaxed Approach in Topology Optimization for Various ε Functions
Author(s) -
Kutylowski R.
Publication year - 2001
Publication title -
zamm ‐ journal of applied mathematics and mechanics / zeitschrift für angewandte mathematik und mechanik
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.449
H-Index - 51
eISSN - 1521-4001
pISSN - 0044-2267
DOI - 10.1002/zamm.200108115116
Subject(s) - topology optimization , convergence (economics) , topology (electrical circuits) , finite element method , mathematical optimization , mathematics , computer science , engineering , structural engineering , combinatorics , economics , economic growth
The inspiration of this contribution was a paper written by Cheng and Guo ]1[ where the E‐relaxed approach for structural topology optimization was applied and a second one paper by Duysinx and Bendsoe ]2[ where continuum structure with stress constraints was considered. In this contribution various ε functions are proposed and discussed for continuum structure from the convergence point of view. The problem is illustrated by FEM examples.