Topology Optimization under Uncertainties with Stress Failure Criteria

• Grant number: 15/25199-0
• Support Opportunities: Scholarships in Brazil - Doctorate
• Start date: April 01, 2016
• End date: February 28, 2019
• Field of knowledge: Engineering - Civil Engineering - Structural Engineering
• Principal Investigator: André Teófilo Beck
• Grantee: Gustavo Assis da Silva
• Host Institution: Escola de Engenharia de São Carlos (EESC). Universidade de São Paulo (USP). São Carlos , SP, Brazil

Abstract

Results of structural optimization should be robust with respect to the uncertainties inherent to strength of materials and structural actions. This observation has led to the development of diferente methodologies for structural optimization under uncertainties: stochastic or robust optimization, fuzzy optimization, reliability-based optimization and risk optimization. However, a review of the literature shows that few authors have addressed uncertainty quantification and their impact in future performance of a structure. Among the few papers found on the subject, most employ design based on compliance, which is mathematically simpler to formulate and implement. However, such approaches are not useful for many practical applications. This project proposes a study of topology optimization under uncertainties using a stress-based design criterion, which is more usefull for practical structural reliability applications. Two formulations will be considered: reliability-based and risk optimization. Risk optimization allows one to consider the consequences of failure in the optimal form of a structure, as well as finding the optimal point of balance between diferent failure modes of a structure. This project has application to several branches of engineering, such as structural design (civil eng.), and in automotive & aeronautical engineering

Scientific publications

(4)

(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; BECK, ANDRE TEOFILO; SIGMUND, OLE. Stress-constrained topology optimization considering uniform manufacturing uncertainties. COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING, v. 344, p. 512-537, FEB 1 2019. (15/25199-0)

DA SILVA, GUSTAVO ASSIS; CARDOSO, EDUARDO LENZ; BECK, ANDRE TEOFILO. Non-probabilistic robust continuum topology optimization with stress constraints. STRUCTURAL AND MULTIDISCIPLINARY OPTIMIZATION, v. 59, n. 4, p. 1181-1197, APR 2019. (15/25199-0)

DA SILVA, G. A.; BECK, A. T.; CARDOSO, E. L.. Topology optimization of continuum structures with stress constraints and uncertainties in loading. INTERNATIONAL JOURNAL FOR NUMERICAL METHODS IN ENGINEERING, v. 113, n. 1, p. 153-178, JAN 6 2018. (15/25199-0)

DA SILVA, GUSTAVO ASSIS; BECK, ANDRE TEOFILO. Reliability-based topology optimization of continuum structures subject to local stress constraints. STRUCTURAL AND MULTIDISCIPLINARY OPTIMIZATION, v. 57, n. 6, p. 2339-2355, JUN 2018. (15/25199-0)

Academic Publications

(References retrieved automatically from State of São Paulo Research Institutions)

SILVA, Gustavo Assis da. Topology optimization under uncertainty with stress failure criterion. 2019. Doctoral Thesis - Universidade de São Paulo (USP). Escola de Engenharia de São Carlos (EESC/SBD) São Carlos.