A Simple Micromechanical Approach to the Solution of Configurational Forces for Non-Saturated Porous Media

Authors

  • Ariel Di Rado Universidad Nacional del Nordeste, Laboratorio de Mecánica Computacional, LAMEC - IMIT (CONICET). Resistencia, Chaco, Argentina
  • Javier L. Mroginski Universidad Nacional del Nordeste, Laboratorio de Mecánica Computacional, LAMEC - IMIT (CONICET). Resistencia, Chaco, Argentina
  • Pablo Beneyto Universidad Nacional del Nordeste, Laboratorio de Mecánica Computacional, LAMEC - IMIT (CONICET). Resistencia, Chaco, Argentina
  • Juan C. Barreto Universidad Nacional de Formosa, Laboratorio de Modelización y Simulación Numérica. Formosa, Argentina.

DOI:

https://doi.org/10.70567/mc.v41i12.61

Keywords:

Mori-Tanaka Method, Micromechanics, Porous media, Biot

Abstract

The primary objective of this study is to evaluate the configurational forces and the associated free energy within a poroelastic continuum containing voids filled with fluid, utilizing a micromechanics approach for constitutive equations within the framework of Eshelbian mechanics. Biots conservation equations, applied in a diluted scheme for the micromechanical environment, in conjunction with Mori- Tanaka homogenization theory, are employed to solve for the geomaterial. In the mathematical model, pores are treated as Eshelby inhomogeneities within a solid matrix, rendering them mechanically active and facilitating the analysis of configurational forces. By leveraging the concepts of equivalent deformation for a single unloaded pore, the multiple-pore diluted scheme, and Mori-Tanaka homogenization for mechanically interactive preloaded pores, both the energy involved in the process and the resulting configurational forces have been determined, demonstrating the consistency and validity of the proposed framework.

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Published

2024-11-08

Issue

Vol. 41 No. 12 (2024): Multiscale Modeling of Materials

Section

Conference Papers in MECOM 2024

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