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Topology optimization of three-dimensional structures considering manufacturing uncertainties and stress failure criterion

Grant number: 19/08654-6
Support type:Scholarships abroad - Research Internship - Post-doctor
Effective date (Start): February 01, 2020
Effective date (End): March 24, 2020
Field of knowledge:Engineering - Civil Engineering - Structural Engineering
Principal researcher:André Teófilo Beck
Grantee:Gustavo Assis da Silva
Supervisor abroad: Ole Sigmund
Home Institution: Escola de Engenharia de São Carlos (EESC). Universidade de São Paulo (USP). São Carlos , SP, Brazil
Research place: Technical University of Denmark (DTU), Denmark  
Associated to the scholarship:18/16701-1 - Topology optimization of compliant mechanisms considering manufacturing uncertainties and stress failure criterion, BP.PD


This research project aims at proposing a topology optimization framework to solve high resolution 3D topology optimization problems considering local stress constraints and manufacturing uncertainties. In order to achieve such a goal, the stress-constrained formulation presented in Da Silva, Beck and Sigmund (2019) is employed, which follows the three-field density approach developed in Sigmund (2009) and Wang et al. (2011) to handle uniform manufacturing uncertainties during the optimization process. The main difficulties associated with such a formulation comes from the local nature of the local failure criterion and the high computational cost related to the large 3D discretized design spaces. These difficulties are handled as follows: 1) in order to deal with the large number of stress constraints, the augmented Lagrangian method is employed; and 2) in order to deal with the high computational cost, the powerful topology optimization framework recently developed by Aage, Andreassen and Lazarov (2015) based on the freely available library for high performance and scientific computing PETSc, will be exploited.

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Scientific publications
(References retrieved automatically from Web of Science and SciELO through information on FAPESP grants and their corresponding numbers as mentioned in the publications by the authors)
DA SILVA, GUSTAVO ASSIS; AAGE, NIELS; BECK, ANDRE TEOFILO; SIGMUND, OLE. Three-dimensional manufacturing tolerant topology optimization with hundreds of millions of local stress constraints. INTERNATIONAL JOURNAL FOR NUMERICAL METHODS IN ENGINEERING, v. 122, n. 2, p. 548-578, JAN 30 2021. Web of Science Citations: 1.
DA SILVA, GUSTAVO ASSIS; BECK, ANDRE TEOFILO; SIGMUND, OLE. Topology optimization of compliant mechanisms considering stress constraints, manufacturing uncertainty and geometric nonlinearity. COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING, v. 365, JUN 15 2020. Web of Science Citations: 0.

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