Journal article
Voigt-Reuss topology optimization for structures with linear elastic material behaviours
International journal for numerical methods in engineering, Vol.40(16), pp.3033-3057
08/30/1997
DOI: 10.1002/(SICI)1097-0207(19970830)40:16<3033::AID-NME196>3.0.CO;2-Z
Abstract
The desired results of variable topology material layout computations are stable and discrete material distributions that optimize the performance of structural systems. To achieve such material layout designs a continuous topology design framework based on hybrid combinations of classical Reuss (compliant) and Voigt (stiff) mixing rules is investigated. To avoid checkerboarding instabilities, the continuous topology optimization formulation is coupled with a novel spatial filtering procedure. The issue of obtaining globally optimal discrete layout designs with the proposed formulation is investigated using a continuation method which gradually transitions from the stiff Voigt formulation to the compliant Reuss formulation. The very good performance of the proposed methods is demonstrated on four structural topology design optimization problems from the literature. ©1997 by John Wiley & Sons, Ltd.
Details
- Title: Subtitle
- Voigt-Reuss topology optimization for structures with linear elastic material behaviours
- Creators
- Colby C Swan - University of IowaIku Kosaka - University of Iowa
- Resource Type
- Journal article
- Publication Details
- International journal for numerical methods in engineering, Vol.40(16), pp.3033-3057
- Publisher
- John Wiley & Sons, Ltd
- DOI
- 10.1002/(SICI)1097-0207(19970830)40:16<3033::AID-NME196>3.0.CO;2-Z
- ISSN
- 0029-5981
- eISSN
- 1097-0207
- Number of pages
- 25
- Language
- English
- Date published
- 08/30/1997
- Academic Unit
- Civil and Environmental Engineering
- Record Identifier
- 9984197214502771
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