Eventos Anais de eventos
COBEM 2023
27th International Congress of Mechanical Engineering
ANALYSIS OF ENRICHMENT FUNCTIONS IN FEM FOR SIMULATING CRACKED SHEET METAL
Submission Author:
Gustavo Alves Lima , ES , Brazil
Co-Authors:
Gustavo Alves Lima, Carlos Barcellos, WERLEY FACCO
Presenter: Gustavo Alves Lima
doi://10.26678/ABCM.COBEM2023.COB2023-1752
Abstract
In most engineering problems modeled by differential equations, obtaining an analytical solution is unfeasible or even impossible, which makes numerical approaches essential in this analysis. In the field of Solid Mechanics, the Finite Element Method (FEM) is a robust, versatile and consolidated numerical technique, but it still has limitations. The enrichment of the function space of the FEM can reduce some limitations of the method as it inserts a priori information about the expected result of the problem, contributing to increase the space of interpolation functions of the method and reducing the impact of the mesh in the simulation. In this context, this research aims to select and apply enrichment functions in the FEM, inserted locally on the contours of the hole in a surface loaded. The results obtained with the enriched FEM are compared with the traditional FEM. As enrichment functions, polynomial functions and trigonometric functions derived from Fracture Mechanics analysis for some crack models are applied. It was observed that the application of the enrichment functions reduced the simulation error for the same finite element mesh, and the functions that models triples can be used as an alternative to 1st polynomials.
Keywords
Finite Element Method, Fracture Mechanics, Generalized Finite Element Method
