Eventos Anais de eventos
COBEM 2023
27th International Congress of Mechanical Engineering
Fracture Nucleation and Propagation Based on Discrete Topological Derivative
Submission Author:
William Garcia , ES
Co-Authors:
William Garcia, Marcel Xavier
Presenter: William Garcia
doi://10.26678/ABCM.COBEM2023.COB2023-0466
Abstract
Scientific investigation of fracture mechanics problems, such as crack/damage nucleation and propagation in brittle and ductile materials, remains of large interest in several branches of engineering. The understanding of this phenomena allows, for instance, to extend components useful life and predict failures before its occurrence. Computational modelling has become an indispensable tool, in particular to fracture analysis, since relatively few practical problems have closed-form analytical solutions. In the past years, the topological derivative method has accumulated a large scientific contribution and demonstrated to be able to capture the whole nucleation and propagation damaging process, including important features like kinking and bifurcations. The present work aims to introduce the discrete topological derivative method to fracture mechanics problems, and take benefits from the advantages of discrete analysis to present a simplified approach. For this purpose, the numerical results related to the minimization of a shape functional, given by the sum of the total potential energy and the dissipation term of the system, with respect to the distribution of the healthy and damaged phases, under an irreversibility constraint, after properly validated, are compared to experimental and numerical predictions references established in the literature. The purpose is to analyze the differences between the estimative given by discrete and traditional approaches. Therefore, this study aims to achieve consistent results using an extremely simple and quite efficient algorithm, enabling the approach to non-linear problems.
Keywords
Discrete Topological Derivative, Fracture Mechanics, Crack propagation
