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MECSOL 2022
8th International Symposium on Solid Mechanics
Application of the Hybrid-Mixed Finite Element Method with Stabilized Nodal Enrichment on 2D Problems
Submission Author:
José Vieira de Melo Neto , SP
Co-Authors:
José Vieira de Melo Neto, Wesley Góis, Rafael Lins
Presenter: José Vieira de Melo Neto
doi://10.26678/ABCM.MECSOL2022.MSL22-0203
Abstract
This work addresses the development of non-conventional variants of the finite element method for plane elasticity based on the combination of the Stable Generalized Finite Element Method (SGFEM) with Hybrid-Mixed Stress Formulation (HMSF). For the HMSF three approximation fields are involved: stresses and displacement in the domain and displacement on the static boundary. In the combined HMSF-SGFEM approach the enrichment of the stress domain field is provided by the product of the Partition of Unity and polynomials enrichment functions. It is noteworthy that the nodal enrichment structure in SGFEM is different from that applied in Generalized Finite Element Method (GFEM). In addition, the resource of the so-called nodal enrichment available by SGFEM and GFEM conceptually enlarges the approximation bases of the stress field of the HMSF, without the need to introduce new nodal points in the domain. The numerical simulation of HMSF-SGFEM was implemented using computational algorithms for this work. The performance of this new approach (HMSF-SGFEM) is illustrated and compared with results from classical Finite Element Method. Finally, the implementations developed for plane linear elasticity problems will also be presented
Keywords
Hybrid-Mixed Stress Formulation, Stabilized Generalized Finite Element Method, Nodal Enrichment, Structural mechanics 2D problem, non-conventional Finite Element Method
