The relative power and its invariance

TL;DR

This paper introduces the concept of relative power in Cauchy bodies with mutations, demonstrating its invariance under Euclidean transformations to derive balance laws and identify configurational ingredients.

Contribution

It presents a novel invariant measure of relative power that links defect evolution to balance laws and configurational analysis in continuum mechanics.

Findings

Invariance of relative power under Euclidean group actions.

Derivation of balance of standard and configurational actions.

Unique identification of configurational ingredients.

Abstract

The relative power of actions in a Cauchy body suffering mutations due to defect evolution is introduced. It is shown that its invariance under the action of the Euclidean group over the ambient space and the material space allows one to obtain (i) the balance of standard and configurational actions and (ii) the identification of configurational ingredients from a unique source.