| Texto completo | |
| Autor(es): |
Ramos, Caio S.
;
Duarte, Carlos A.
;
Shauer, Nathan
;
Proenca, Sergio P. B.
Número total de Autores: 4
|
| Tipo de documento: | Artigo Científico |
| Fonte: | COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING; v. 445, p. 28-pg., 2025-10-01. |
| Resumo | |
Phase-field models have emerged as a powerful framework for simulating complex crack propagation phenomena. However, their highly nonlinear and non-convex variational formulation imposes significant challenges for finding solution through a minimization procedure. Standard Newton-based monolithic solvers often fail to converge, particularly in cases of rapid crack evolution. Traditionally, the alternating minimization approach has been employed to disassemble the non-convexity issue. Although robust, it demands many iterations to converge, leading to high computational costs. We propose a modified L-BFGS method with a line search strategy designed to enhance computational efficiency in phase-field fracture analysis. Moreover, the proposed approach ensures robustness by leveraging a gradient-based criterion to adjust step size dynamically. The approach is evaluated regarding computational cost, accuracy, and robustness through numerical experiments involving brittle and quasi-brittle fracture scenarios. The numerical results, hereby presented, demonstrate that the method offers a promising alternative for efficiently solving large-scale phase-field fracture problems, significantly reducing computational cost while maintaining accuracy compared to the standard alternating minimization approach. (AU) | |
| Processo FAPESP: | 20/14605-5 - Um método dos elementos finitos generalizados bem condicionado para mecânica da fratura tridimensional: uma abordagem empregando phase-field |
| Beneficiário: | Caio Silva Ramos |
| Modalidade de apoio: | Bolsas no Exterior - Estágio de Pesquisa - Doutorado |
| Processo FAPESP: | 19/00434-7 - Formulação eficiente e estável para o método dos elementos finitos generalizados e aplicações |
| Beneficiário: | Caio Silva Ramos |
| Modalidade de apoio: | Bolsas no Brasil - Doutorado |
| Processo FAPESP: | 24/06917-8 - Técnicas Avançadas de Elementos Finitos para Simulação de Propagação de Fraturas em Meios Ortotrópicos e Heterogêneos |
| Beneficiário: | Nathan Shauer |
| Modalidade de apoio: | Auxílio à Pesquisa - Regular |