| Full text | |
| Author(s): |
Andrade, Giovanna C.
;
Santos, Sandra A.
Total Authors: 2
|
| Document type: | Journal article |
| Source: | Applied Mathematical Modelling; v. 111, p. 18-pg., 2022-06-28. |
| Abstract | |
This work addresses the structural compliance minimization problem through a level-set -based strategy that rests upon radial basis functions with compact support combined with Hilbertian velocity extensions. A consistent augmented Lagrangian scheme is adopted to handle the volume constraint. The linear elasticity model and the variational problem asso-ciated with the computation of the velocity field are tackled by the finite element method using resources from the FEniCS project. The parameterization mesh constituted by the centers of the radial basis functions may be decoupled from the finite element mesh. A numerical investigation is conducted employing a Python implementation and five bench-mark structures. Aimed at isolating the distinct aspects that compose the proposed strat-egy, the experiments provide grounds to analyze and put into perspective the inherent decisions and the related elements.(c) 2022 Elsevier Inc. All rights reserved. (AU) | |
| FAPESP's process: | 13/07375-0 - CeMEAI - Center for Mathematical Sciences Applied to Industry |
| Grantee: | Francisco Louzada Neto |
| Support Opportunities: | Research Grants - Research, Innovation and Dissemination Centers - RIDC |
| 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 |
| FAPESP's process: | 18/24293-0 - Computational methods in optimization |
| Grantee: | Sandra Augusta Santos |
| Support Opportunities: | Research Projects - Thematic Grants |