Deformation Decomposition versus Energy Decomposition for Chemo- and Poro- Mechanics

TL;DR

This paper compares deformation and energy decomposition methods in modeling poro- and chemo-mechanics, highlighting the advantages of energy decomposition for coupling with phase-field fracture.

Contribution

It introduces a comparison between deformation and energy decomposition approaches, emphasizing the benefits of energy decomposition in poro- and chemo-mechanics modeling.

Findings

Energy decomposition offers a more transparent modeling structure.

Energy decomposition facilitates coupling with phase-field fracture.

Deformation decomposition is traditionally used in plasticity and phase transformations.

Abstract

We briefly compare the structure of two classes of popular models used to describe poro- and chemo- mechanics wherein a fluid phase is transported within a solid phase. The multiplicative deformation decomposition has been successfully used to model permanent inelastic shape change in plasticity, solid-solid phase transformation, and thermal expansion, which has motivated its application to poro- and chemo- mechanics. However, the energetic decomposition provides a more transparent structure and advantages, such as to couple to phase-field fracture, for models of poro- and chemo- mechanics.