2019/06/29 by Fabio Botelho, Botelho, Fabio, Alexandre Molter +1
Engineering · Mathematics · #49N15 #49Q10 #Composite Structure Analysis and Optimization #FOS: Mathematics #Optimization and Control (math.OC) #Structural Analysis and Optimization #Topology Optimization in Engineering #math.OC #msc:49N15 #msc:49Q10
paper · pdf · doi:10.48550/arxiv.1907.00200
12 pages, in this version new examples are presented
openalex publication_date 2019/06/29 · arxiv created 2019/11/12 · arxiv updated 2019/11/13 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
In this article we develop a duality principle and concerning computational method for a structural optimization problem in elasticity. We consider the problem of finding the optimal topology for an elastic solid which minimizes its structural inner energy resulting from the action of external loads to be specified. The main results are obtained through standard tools of convex analysis and duality theory. We emphasize our algorithm do not include a filter to process the results, so that the result obtained is indeed a critical point for the original optimization problem. Finally, we present some numerical examples concerning applications of the theoretical results established.