A MATLAB® implementation of Hybrid-Mixed Stress Formulation on Topology Optimization

Luis Armando Piccino Navarro¹; Wesley Góis¹

¹ Federal University of ABC

doi:10.20906/CPS/CILAMCE2017-0738

Resumo

The present work aims to describe an implementation of the Hybrid-Mixed Stress Formulation on Topology Optimization written in MATLAB® and to introduce the programming for the non-conventional formulation. The code includes a detailed algorithm to implement a Hybrid-Mixed Stress Formulation analysis, sensitivity analysis, a sensitive filter, optimality criterion optimizer and the display of the optimal structure as well the stress field, which is the main advantage of the implemented formulation against a classical Finite Element analysis. The proposed formulation is able to approximate directly and independently both displacements and stress fields, providing a more accurate approximation for the last one which is usually the variable taken for most engineering applications. To illustrate the capabilities, efficiency and use of the code a set of benchmark problems are provided and preliminary results shows that the formulation can achieve designs with structural members essentially solid, instead of the fading effect on the edges presented in classical formulations.

Palavras-chave: Topology Optimization; Hybrid-Mixed Stress Formulation; MATLAB