Eventos Anais de eventos
COBEM 2021
26th International Congress of Mechanical Engineering
Extraction of stress intensity factors via the displacement correlation method from stable generalized finite element solutions
Submission Author:
Felipe Lopes , SP
Co-Authors:
Felipe Lopes, Rafael Lins, Mariano Arbelo
Presenter: Felipe Lopes
doi://10.26678/ABCM.COBEM2021.COB2021-1300
Abstract
This work presents and discuss the Stress Intensity Factors (SIF's) calculation using the Displacement Correlation Method (DCM) coupled to a Stable Generalized Finite Element Method (SGFEM). Moreover, the improvement of the results using the Stable Generalized Finite Element Method (SGFEM) instead of the Generalized Finite Element Method (GFEM) is also investigated. In these methods, in general, enrichment functions are applied to represent the effects of the singularity attached to the crack tip and the discontinuities introduced by the crack. Beyond that, the enrichment functions in the SGFEM are modified to avoid some problems that appear in the GFEM, as round off errors due to ill conditioning of the stiffness matrix, which can affect the convergence of the model. The DCM was chosen due to his low computational cost compared to other methods based on energetic approach such as the J integral. Such feature can be explored to implement fast crack growth simulations models using the SGFEM. Practical examples with closed form solutions, considering different opening modes, are used to compare SIF's extracted using both SGFEM and GFEM methodologies. These examples include horizontal and inclined cracks aiming to demonstrate the robustness of the proposed technique.
Keywords
GFEM, SGFEM, Stress Intensity Factor, Displacement Correlation Method
