Eventos Anais de eventos
COBEM 2021
26th International Congress of Mechanical Engineering
ON THE USE OF THE X-FEM METHOD FOR COMPUTATIONAL FRACTURE MECHANICS FOR MIXED MODE FRACTURE
Submission Author:
José Airton Neiva Alves da Silva Brasil , MA , Brazil
Co-Authors:
José Airton Neiva Alves da Silva Brasil, JORGE FERREIRA
Presenter: José Airton Neiva Alves da Silva Brasil
doi://10.26678/ABCM.COBEM2021.COB2021-0504
Abstract
In some structures the presence of a crack cannot be avoided. The severity of a crack in a structure can be described using the stress intensity factor, the calculation of these variables is particular for each case, and for each mode of fracture, taking into account the geometry, load case and crack size. In some structures, depending on the geometry, load case of crack position, exist a mixed mode fracture that take in account two or three fracture modes and each particular stress intensity for each mode has an effect on the severity of the presence of the crack, that can be described by an equivalent stress intensity factor, and in the crack propagation path, that can be described by angles that take into account the effects of each individual stress intensity factor. The Extended Finite Element Method (X-FEM) can be used in fracture mechanics for modeling the effects of cracks in a structure, in special in mixed mode fracture, where the crack propagation angles need calculation, that are harder in conventional finite element methods for fracture mechanics, because these methods need a better discretization and an updated mesh for each crack size advance. This work presents topics for the use of the X-FEM method for fracture mechanics, and uses the method to predict the crack propagation path, and their associated correlation factors, equivalent stress intensity factors and propagation angles, and the computational results are compared using experimental and analytical results obtained from the works of Ferreira (2017), Citarella et al. (2016), and Yates et al. (2007), that show, respectively, the change in the displacement field, that causes the mixed mode fracture, in the presence of the stress concentration, the presence of a multiaxial load case and the presence of multiple cracks. Showing that it is possible to obtain the computational results that are close to the experimental using the X-FEM method.
Keywords
Fracture Mechanics, Computational simulation, Finite Element Method, extended finite element method
