Heat Conduction with {\it aging} memory

TL;DR

This paper investigates heat conduction in materials with aging memory, focusing on how the relaxation function evolves with the material's deterioration over time.

Contribution

It introduces a thermodynamical model that incorporates aging effects into the heat relaxation function of memory materials.

Findings

The relaxation function varies with the material's age, affecting thermal response.

A model for aging-related deterioration in heat conductors is developed.

The study provides insights into temperature evolution in aging materials.

Abstract

The term material with memory is generally used to indicate materials whose mechanical and/or thermodynamical behaviour depends not only on the process at the present time but also on the history of the process itself. Crucial in heat conductors with memory is the heat relaxation function which models the thermal response of the material. The present study is concerned about a thermodynamical problem with memory "aging"; that is, we analyze the temperature evolution within a rigid heat conductor with memory whose relaxation function takes into account the aging of the material. In particular, we account for variations of the relaxation function due to a possible deterioration of the thermal response of the material related to its age.