Eventos Anais de eventos
MecSol 2017
6th International Symposium on Solid Mechanics
STRESS CONSTRAINED TOPOLOGY OPTIMIZATION VIA SEQUENTIAL SECOND ORDER CONE PROGRAMMING
Submission Author:
Guilherme Barros , RJ , Brazil
Co-Authors:
Hugo Bruno, Luiz Fernando Martha, Ivan Menezes
Presenter: Guilherme Barros
doi://10.26678/ABCM.MecSol2017.MSL17-0034
Abstract
The main objective of structural design is to determine a structure that can carry the applied loads. In general, it is not clear, a priori, what is the most efficient shape that satisfies the above criterion requiring the smallest amount of material. In order to obtain this optimal structure the topology optimization method can be applied. It consists in finding the best material distribution that minimizes some performance measure (e.g.,the structural compliance). However, in some applications the optimal structure fails to meet the safety criterion due to stress concentration. To overcome this problem, stress constraints must be taken into account during the topology optimization process. In this work a sequential second order cone programming method is proposed to efficiently incorporate the stress constraints into the optimization problem. This method is well known in the field of limit analysis and it has shown to provide optimal solutions with very low computational cost. Numerical examples are presented here to demonstrate the efficiency and applicability of the proposed second order cone programming method.
Keywords
Stress constraints, Topology optimization, second-order cone programming
