Vol. 2, No. 5, 2007

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ISSN: 1559-3959
Element stacking method for topology optimization with material-dependent boundary and loading conditions

Gil Ho Yoon, Yong Keun Park and Yoon Young Kim

Vol. 2 (2007), No. 5, 883–895

A new topology optimization scheme, called the element stacking method, is developed to better handle design optimization involving material-dependent boundary conditions and selection of elements of different types. If these problems are solved by existing standard approaches, complicated finite element models or topology optimization reformulation may be necessary. The key idea of the proposed method is to stack multiple elements on the same discretization pixel and select a single or no element. In this method, stacked elements on the same pixel have the same coordinates but may have independent degrees of freedom. Some test problems are considered to check the effectiveness of the proposed stacking method

element stacking, topology optimization, material-dependent boundary conditions
Received: 19 May 2006
Accepted: 27 January 2007
Published: 1 July 2007
Gil Ho Yoon
Department of Mechanical Engineering
Solid Mechanics
Nils Koppels Allé
Building 403, DK-2800 Kgs. Lyngby
Technical University of Denmark
Yong Keun Park
Department of Mechanical Engineering
Massachusetts Institute of Technology
77 Massachusetts Avenue
Cambridge, MA 02139-4307
United States
Yoon Young Kim
Multiscale Design Center and Integrated Design & Analysis of Structures Laboratory
School of Mechanical and Aerospace Engineering
Seoul National University
Kwanak-Gu San 56-1, Seoul 151-742