Aplicación del Método de Elemento Finito y Galerkin Libre de Elementos Mejorado Superpuesto a la Elasticidad Lineal

Javier A. Zambrano Carrillo; Juan C. Alvarez Hostos; Santiago Serebrinsky; Alfredo E. Huespe

doi:10.70567/mc.v41i10.56

Authors

Javier A. Zambrano Carrillo Centro de Investigación de Métodos Computacionales (CIMEC-CONICET/UNL). Santa Fe, Argentina.
Juan C. Alvarez Hostos Universidad Nacional de Rafaela, Centro de Investigación y Transferencia(CIT). Rafaela, Argentina.
Santiago Serebrinsky YPF Tecnología S.A. (Y-TEC-CONICET). Ciudad Autónoma de Buenos Aires, Argentina.
Alfredo E. Huespe Centro de Investigación de Métodos Computacionales (CIMEC-CONICET/UNL). Santa Fe, Argentina.

DOI:

https://doi.org/10.70567/mc.v41i10.56

Keywords:

Improved overlapping element-free Galerkin, Finite element method, FEM background mesh, Overlapping node distribution, Linear elasticity

Abstract

This work presents an innovative approach for solving linear elasticity problems using a hybrid technique that combines the finite element method (FEM) and the improved element-free Galerkin method (IEFG). The proposed Ov-IEFG-FEM method utilizes FEM throughout the entire problem geometry and employs overlapping nodes to perform higher-order approximations in regions that require greater accuracy using IEFG. The overlapping domains iteratively transfer kinematic information through well-defined immersed boundaries. The results demonstrate that this technique is suitable and reliable for solving linear elasticity problems accurately and simply.

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