Stress-constrained topology optimization considering uniform manufacturing uncertainties

Author(s)

da Silva, Gustavo Assis ^[1] ; Beck, Andre Teofilo ^[1] ; Sigmund, Ole ^[2]

Affiliation

^[1] Univ Sao Paulo, Sao Carlos Sch Engn, Dept Struct Engn, BR-13566590 Sao Carlos, SP - Brazil

^[2] Tech Univ Denmark, Dept Mech Engn Solid Mech, Nils Koppels, B 404, 2800 kgs, Lyngby - Denmark

• Document type: Journal article
• Source: COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING; v. 344, p. 512-537, FEB 1 2019.
• Web of Science Citations: 3

Abstract

This paper proposes a robust design approach, based on eroded, intermediate and dilated projections, to handle uniform manufacturing uncertainties in stress-constrained topology optimization. In addition, a simple scheme is proposed to increase accuracy of stress evaluation at jagged edges, based on limiting sharpness of the projections to intentionally allow a thin layer of intermediate material between solid and void phases. A reference problem is analyzed through voxel-based finite element models, demonstrating that, in association with a proper choice of stiffness and stress interpolation functions, the proposed scheme can ensure consistent stress magnitude and smooth stress behavior for uniform boundary variation. Optimization problems are solved and post-processing with body-fitted meshes is performed over optimized solutions, demonstrating that: (1) stresses evaluated with voxel-based meshes containing thin soft transition boundaries are consistent with stresses evaluated with body-fitted meshes; and (2) optimized structures are robust with respect to uniform boundary variations. (C) 2018 Elsevier B.Y. All rights reserved. (AU)

• FAPESP's process: 15/25199-0 - Topology Optimization under Uncertainties with Stress Failure Criteria
• Grantee: Gustavo Assis da Silva
• Support Opportunities: Scholarships in Brazil - Doctorate