A bound-constrained solver for phase-field modeling of diffuse fracture

• Autor(a) principal: Matheus Moreno Fortes
• Data de Publicação: 2022
• Tipo de documento: Dissertação
• Idioma: eng
• Título da fonte: Repositório Institucional da UFMG
• Texto Completo: http://hdl.handle.net/1843/50677
• topic: Phase-field models of fracture; Bound-constrained solver; Finite element method based phase-field models; Engenharia de estruturas; Fratura; Método dos elementos finitos

The study of the cracking of a structural element is important. In these studies, the crack can be modeled with the discrete or continuous approach. The phase-field model is a continuous crack model that adds a variable to the problem to represent the degradation of the material at a point.The phase-field research group of the Department of Structural Engineering (DEES) of the Federal University of Minas Gerais (UFMG) has already done some work on this topic using the INSANE software (INteractive Structural ANalysis Environment). One of the obstacles encountered was the type of solver. A solver widely used in the phase field literature is the historical solver, but it limits the crack geometry to be used. To get around this limitation, you need another solver. This work shows the implementation of a bound-constrained solver through the external library PETSc (Portable, Extensible Toolkit for Scientific Computation) applied in INSANE. With this new solver, the new possibilities of models are shown, the performance is compared with other solvers in INSANE, the convergence and mesh dependence are compared with the smeared crack model, and finally, the capacity of the phase-field model to capture modes I and II failures is evaluated.