Complex bodies with memory: linearized setting

TL;DR

This paper explores the mechanics of complex bodies with memory effects in a linearized framework, focusing on energy characterization and the implications of thermodynamic inequalities.

Contribution

It introduces a novel approach to characterize free energies in complex bodies with memory, including surface effects, using techniques by Del Piero.

Findings

Characterization of free energies via minimum work and maximum recoverable work.

Analysis of Clausius-Duhem inequality implications for bodies with elastic response.

Insights into surface energy effects in complex bodies.

Abstract

The mechanics of complex bodies with memory effects is discussed in linearized setting. The attention is focused on the characterization of free energies in terms of minimum work and maximum recoverable work in the bulk and along a discontinuity surface endowed with its own surface energy, a surface internal to the body. To this aim, use is made of techniques proposed by Del Piero. Consequences of the Clausius-Duhem inequality are investigated for complex bodies with instantaneous linear elastic response.