Eventos Anais de eventos
COBEM 2023
27th International Congress of Mechanical Engineering
The Use of Cells for Accurate Body Forces Modelling in the Isogeometric Boundary Element Method (IGABEM): Comparison with the Galerkin Vector Approach and Insights for Nonlinear Problems.
Submission Author:
Deborah Cristina Nardi , SP
Co-Authors:
Deborah Cristina Nardi, Edson Denner Leonel
Presenter: Deborah Cristina Nardi
doi://10.26678/ABCM.COBEM2023.COB2023-0722
Abstract
The Boundary Element Method (BEM) is a commonly used numerical technique for solving elastostatic problems. In most physical and engineering problems the inclusion of body forces in the analysis is of vital importance. In the present work, two different approaches for modelling body forces are presented: the Galerkin Vector Approach and the domain discretization method via cells. The first approach involves transforming the integral of the body force over the domain into integrals over the boundary. The second method is based on the concept of subdividing the domain into a set of cells. Presumably, the cell-based method is considered time-consuming, however, it is considered one of the most reliable methods for analyzing highly nonlinear problems. Furthermore, in problems where the domain discretization cannot be approximated by a boundary integral, such as in problems where the internal variables assume a significant role (plasticity or damage, for example), the use of cells becomes indispensable. Thus, a numerical example via the Isogeometric Boundary Element Method (IGABEM) of both methodologies is presented. Linear quadrilateral cells are proposed. Practical guidance on the implementation of domain discretization is provided. In addition, a brief idea of how to apply the cells method to future nonlinear problems is given.
Keywords
Galerkin Vector, Domain discretization, BEM, Body Foces, Cells
