Un Enfoque Micromecánico Simple para la Solución de Fuerzas Configuracionales y Tensor de Tensiones de Maxwell en Medios Porosos No Saturados
DOI:
https://doi.org/10.70567/mc.v41i12.61Palabras clave:
Mori-Tanaka, Micromecanica, Medios Porosos, Teoría de BiotResumen
El objetivo principal de este estudio es evaluar las fuerzas configuracionales y la energía libre asociada dentro de un continuo poroelástico que contiene vacíos llenos de fluido, utilizando un enfoque de micromecánica para las ecuaciones constitutivas dentro del marco de la mecánica eshelbiana. Las ecuaciones de conservación de Biot, aplicadas en un esquema diluido para el entorno micromecánico, junto con la teoría de homogeneización de Mori-Tanaka, se emplean para resolver el material geológico. En el modelo matemático, los poros se tratan como inhomogeneidades de Eshelby dentro de una matriz sólida, lo que los hace mecánicamente activos y facilita el análisis de las fuerzas configuracionales. Al aprovechar los conceptos de deformación equivalente para un solo poro no cargado, el esquema diluido de múltiples poros y la homogeneización de Mori-Tanaka para poros pre-cargados mecánicamente interactivos, se han determinado tanto la energía involucrada en el proceso como las fuerzas configuracionales resultantes, demostrando la consistencia y validez del marco propuesto.
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Derechos de autor 2024 Asociación Argentina de Mecánica Computacional
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