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

Autores

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

Palavras-chave:

Galerkin libre de elementos mejorado superpuesto, Método de elemento finito, Malla de fondo FEM, Distribución superpuesta de nodos, Elasticidad lineal

Resumo

En este trabajo se presenta un enfoque innovador para resolver problemas de elasticidad lineal mediante una técnica híbrida que combina el método de elemento finito (FEM) y el método de Galerkin libre de elementos mejorado (IEFG). El método Ov-IEFG-FEM propuesto utiliza FEM en toda la geometría del problema y emplea nodos superpuestos para realizar aproximaciones de orden superior en regiones que requieren mayor precisión utilizando IEFG. Los dominios superpuestos transfieren iterativamente información cinemática a través de fronteras inmersas bien definidas. Los resultados muestran que esta técnica es adecuada y fiable para resolver problemas de elasticidad lineal de manera precisa y sencilla.

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