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| Author(s): |
Giovanna Castello de Andrade
Total Authors: 1
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| Document type: | Master's Dissertation |
| Press: | Campinas, SP. |
| Institution: | Universidade Estadual de Campinas (UNICAMP). Instituto de Matemática, Estatística e Computação Científica |
| Defense date: | 2022-02-24 |
| Examining board members: |
Sandra Augusta Santos;
Antoine Laurain;
Francisco de Assis Magalhães Gomes Neto
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| Advisor: | Sandra Augusta Santos |
| Abstract | |
This project addresses the study of level-set based methods for structural topology optimization. More specifically, radial-based functions are employed to parametrize the level sets. The classical compliance minimization problem of structures under static equilibrium and inequality volume constraint is considered and solved with a consistent formulation of an augmented Lagrangian scheme. Different aspects of level-set methods are discussed and reviewed and the parametrized approach with radial basis functions is generalized considering decoupled meshes for finite elements and distribution of basis functions, within different evolution approaches. Moreover, in order to save computacional effort, compact support radial basis functions are considered. Numerical experiments were performed using Python and FEniCS resources, aiming to isolate and analyse different aspects of the adopted approach and that are frequently used in the literature (AU) | |
| FAPESP's process: | 20/00521-4 - On level-set based methods for structural topology optimization |
| Grantee: | Giovanna Castello de Andrade |
| Support Opportunities: | Scholarships in Brazil - Master |