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M.J. de Ruiter, F. van Keulen, "Topology Optimization: Approaching the Material Distribution Problem using a Topological Function Description", in B.H.V. Topping, (Editor), "Computational Techniques for Materials, Composites and Composite Structures", Civil-Comp Press, Edinburgh, UK, pp 111-119, 2000. doi:10.4203/ccp.67.1.13

Abstract

The present paper is on finding the optimal material distribution on a given reference domain, i.e. the topology of a structure. Typically the topology representation is directly linked to the finite element discretization used. In the present paper a mesh independent topology representation is investigated.

For this purpose a topology function is defined as a function that maps each point of the reference domain to a value that unambiguously determines the material content using a threshold value. This topology function will be constructed using simple functions that are determined by a few continuous design parameters only. The set of parameters that determines the optimal structure is then sought. This approach is applied to a standard test cases, which confirms the potential of the proposed approach.

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Front Page Browse CCP CSETS CTR IJRT Other Authors Search Purchase Guide FAQ Contact us	Civil-Comp Proceedings ISSN 1759-3433 CCP: 67 COMPUTATIONAL TECHNIQUES FOR MATERIALS, COMPOSITES AND COMPOSITE STRUCTURES Edited by: B.H.V. Topping Paper I.13 Topology Optimization: Approaching the Material Distribution Problem using a Topological Function Description M.J. de Ruiter and F. van Keulen Laboratory of Engineering Mechanics, Delft University of Technology, Delft, The Netherlands doi:10.4203/ccp.67.1.13 purchase the full-text of this paper Full Bibliographic Reference for this paper M.J. de Ruiter, F. van Keulen, "Topology Optimization: Approaching the Material Distribution Problem using a Topological Function Description", in B.H.V. Topping, (Editor), "Computational Techniques for Materials, Composites and Composite Structures", Civil-Comp Press, Edinburgh, UK, pp 111-119, 2000. doi:10.4203/ccp.67.1.13 Abstract The present paper is on finding the optimal material distribution on a given reference domain, i.e. the topology of a structure. Typically the topology representation is directly linked to the finite element discretization used. In the present paper a mesh independent topology representation is investigated. For this purpose a topology function is defined as a function that maps each point of the reference domain to a value that unambiguously determines the material content using a threshold value. This topology function will be constructed using simple functions that are determined by a few continuous design parameters only. The set of parameters that determines the optimal structure is then sought. This approach is applied to a standard test cases, which confirms the potential of the proposed approach. purchase the full-text of this paper (price £20) go to the previous paper go to the next paper return to the table of contents return to the book description purchase this book (price £92 +P&P)
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