An Eshelbian approach to the nonlinear mechanics of constrained solid-fluid mixtures

TL;DR

This paper introduces an Eshelbian framework for modeling the nonlinear mechanics of constrained solid-fluid mixtures, specifically focusing on inhomogeneous poroelastic solids with inviscid compressible fluids, without chemical reactions.

Contribution

It proposes a novel Eshelbian approach to the nonlinear mechanics of constrained solid-fluid mixtures, extending rational mixture theories with a new perspective.

Findings

Develops a new theoretical framework for solid-fluid mixtures.

Provides insights into the nonlinear behavior of poroelastic materials.

Lays groundwork for future computational models.

Abstract

Looking at rational mixture theories within the context of a new perspective, this work aims to put forward a proposal for an Eshelbian approach to the nonlinear mechanics of a constrained solid-fluid mixture, made up of an inhomogeneous poroelastic solid and an inviscid compressible fluid, which do not undergo any chemical reaction.