Analysis of decomposed topology optimization problem
Last Updated on Wednesday, 09 February 2011 17:17
Authors: B. Radi, A. Makrizi
Institutions: Faculty of Sciences and Technology, Errachidia (Morocco), Faculty of Sciences Ben M’sik, Casablanca (Morocco)
Abstract: In topology optimization problems, we are often forced to deal with large-scale numerical problems, so that domain decomposition occurs naturally. Consider a typical topology optimization problem, the minimum compliance problem of a linear isotropic elastic continuum structure, in which the constraints are the partial differential equations of linear elasticity. We subdivide the problem into two sub-problems posed on non-overlapping subdomains, each of them has boundary data that depends on the solution of the other subproblem. We determine the unknown data through an optimization problem in which the discrepancy between an appropriate defined functional of the difference between solutions in sub-domains is minimized. This article presents a new formulation of the minimum compliance problem based on the domain decomposition methods, and then we propose an algorithm to solve the founding problem.
Keywords: Topology optimization, sub-domains method, compliance, elastic structure, gradient method, finite element
| Ijodir 2009 / Vol 4 n°2 - Analysis of decomposed topology optimization problem | |
  2010-09-20  126.8 KB  1347 |
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