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P. Le Tallec, M. Halard, "Optimization of Nonlinear Structures and Meshes", in B.H.V. Topping, M. Papadrakakis, (Editors), "Advances in Structural Optimization", Civil-Comp Press, Edinburgh, UK, pp 113-117, 1994. doi:10.4203/ccp.25.4.3

Abstract

Second order methods are proposed herein for the optimal design of nonlinear structures under given constraints. We show that the system of the first order Euler-Lagrange condition can be solved efficiently by a Newton type method. The corresponding algorithm and numerical results are given in the second part for cases without inequality constraints. It can be easily extended to constrained problems using interior point algorithms. When it is applied to mechanical problems, the state variables will characterize the deformed configuration as well as an implicit adaptive discretization of the geometry.

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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: 25 ADVANCES IN STRUCTURAL OPTIMIZATION Edited by: B.H.V. Topping and M. Papadrakakis Paper IV.3 Optimization of Nonlinear Structures and Meshes P. Le Tallec and M. Halard Universite de Paris Dauphine, Paris, France doi:10.4203/ccp.25.4.3 purchase the full-text of this paper Full Bibliographic Reference for this paper P. Le Tallec, M. Halard, "Optimization of Nonlinear Structures and Meshes", in B.H.V. Topping, M. Papadrakakis, (Editors), "Advances in Structural Optimization", Civil-Comp Press, Edinburgh, UK, pp 113-117, 1994. doi:10.4203/ccp.25.4.3 Abstract Second order methods are proposed herein for the optimal design of nonlinear structures under given constraints. We show that the system of the first order Euler-Lagrange condition can be solved efficiently by a Newton type method. The corresponding algorithm and numerical results are given in the second part for cases without inequality constraints. It can be easily extended to constrained problems using interior point algorithms. When it is applied to mechanical problems, the state variables will characterize the deformed configuration as well as an implicit adaptive discretization of the geometry. 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 £60 +P&P)
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