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J.E. Souza de Cursi, "Fast Topological Design in Bidimensional Elasticity", in B.H.V. Topping, (Editor), "Developments in Computational Techniques for Structural Engineering", Civil-Comp Press, Edinburgh, UK, pp 313-322, 1995. doi:10.4203/ccp.33.12.1

Abstract

We consider a problem of topological optimization: the determination of the minimum mass linear elastic body submitted to a planar field of stresses. We take into account a Von Mises criterion for the plastic collapse (the results can be extended to quadratic functions of the stresses). The topology is characterized by an unknown thickness map rho: the holes correspond to the regions where rho = 0. A 2D mechanical formulation is derived from the 3D formulation. We state a theorem of fully stressed design, which characterizes rho as the solution of an algebraic equation. This result leads to a numerical method which is applied to some classical situations.

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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: 33 DEVELOPMENTS IN COMPUTATIONAL TECHNIQUES FOR STRUCTURAL ENGINEERING Edited by: B.H.V. Topping Paper XII.1 Fast Topological Design in Bidimensional Elasticity J.E. Souza de Cursi Rouen Institute of Mechanics, Rouen, France doi:10.4203/ccp.33.12.1 purchase the full-text of this paper Full Bibliographic Reference for this paper J.E. Souza de Cursi, "Fast Topological Design in Bidimensional Elasticity", in B.H.V. Topping, (Editor), "Developments in Computational Techniques for Structural Engineering", Civil-Comp Press, Edinburgh, UK, pp 313-322, 1995. doi:10.4203/ccp.33.12.1 Abstract We consider a problem of topological optimization: the determination of the minimum mass linear elastic body submitted to a planar field of stresses. We take into account a Von Mises criterion for the plastic collapse (the results can be extended to quadratic functions of the stresses). The topology is characterized by an unknown thickness map rho: the holes correspond to the regions where rho = 0. A 2D mechanical formulation is derived from the 3D formulation. We state a theorem of fully stressed design, which characterizes rho as the solution of an algebraic equation. This result leads to a numerical method which is applied to some classical situations. 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 £78 +P&P)
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