On level-set based methods for structural topology optimization

• Grant number: 20/00521-4
• Support Opportunities: Scholarships in Brazil - Master
• Start date: June 01, 2020
• End date: February 28, 2022
• Field of knowledge: Physical Sciences and Mathematics - Mathematics - Applied Mathematics
• Principal Investigator: Sandra Augusta Santos
• Grantee: Giovanna Castello de Andrade
• Host Institution: Instituto de Matemática, Estatística e Computação Científica (IMECC). Universidade Estadual de Campinas (UNICAMP). Campinas , SP, Brazil
• Associated research grant: 18/24293-0 - Computational methods in optimization, AP.TEM

Abstract

This project addresses the study of level-set based methods for structural topology optimization. More specifically, radial-based functions are employed to parameterize the level sets. Aiming to save the computational effort of the potentially large amount of linear systems to be solved, the applicability of the reanalysis philosophy will be investigated. The proposed algorithm will be implemented and its performance will be put into perspective against computational routines recently developed for academic and educational purposes, with distinct strategies for updating the level sets. (AU)

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)

ANDRADE, GIOVANNA C.; SANTOS, SANDRA A.. A level-set-based topology optimization strategy using radial basis functions and a Hilbertian velocity extension. Applied Mathematical Modelling, v. 111, p. 18-pg., 2022-06-28. (13/07375-0, 20/00521-4, 18/24293-0)

Academic Publications

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

ANDRADE, Giovanna Castello de. On level-set based methods for structural topology optimization. 2022. Master's Dissertation - Universidade Estadual de Campinas (UNICAMP). Instituto de Matemática, Estatística e Computação Científica Campinas, SP.