Eventos Anais de eventos
COBEM 2023
27th International Congress of Mechanical Engineering
Expansion of a non-intrusive implementation of the Generalized Finite Element Method - Global-Local
Submission Author:
Ana Clara Pedras Bueno , MG
Co-Authors:
Ana Clara Pedras Bueno, FELICIO BARROS, Neimar Aparecido da Silveira Filho
Presenter: Ana Clara Pedras Bueno
doi://10.26678/ABCM.COBEM2023.COB2023-1562
Abstract
Due to cost and complexity, advances in the formulations to numerically simulate structural engineering problems may not yet be fully available to industry, such as, for example, the Generalized Finite Element Method with globallocal enrichment (GFEMgl). Its implementation in commercial software packages can contribute to understanding the behavior of complex problems, involving discontinuities, singularities, and localized nonlinearities. On the other hand, research programs that implement these new methods are restricted to their application range, as they do not prioritize computational efficiency. In recent years, several studies have been carried out to develop non-intrusive strategies capable of combining the resources of research software with existing simulation tools. In this context, the present work aimed to expand and investigate a strategy developed for a non-intrusive coupling between the commercial software Abaqus and the research computational platform INSANE (INteractive Structural ANalysis Environment). This so-called strategy, IGL-GFEMgl, consists of a multiscale computational framework that combines a global-local iterative solution (IGL) with GFEMgl. The structural problem is decomposed into three analysis scales with their respective models and type of discretizations: global scale, meso scale, and local scale. The global scale comprises the whole structure without the local features of interest. These local features are only described at the local scale. The meso scale is used as a bridge between the other two scales. It receives the information from the analysis of the global scale, performed by Abaqus, and transfers it to the local scale. The meso and the local scale represent the global and the local models, solved in INSANE, by GFEMgl. An iterative procedure is performed to match the solutions of the global and meso scales. This strategy was first proposed by H. Li, P. O’Hara and C. A. Duarte in 2021. It is improved and evaluated here to simulate the presence of local features, such as holes in two-dimensional problems. The iterative algorithm is modified and relaxation techniques are used to improve the efficiency of the solution procedure. In the numerical example presented, the time computation cost, the number of iterations, the convergence behavior, and the quality of the solution are assessed to demonstrate the contribution of the modifications proposed.
Keywords
Generalized Finite Element Method with global-local enrichment, non-intrusive coupling, multiscale computational framework, relaxation techniques
