Temperature field and heat generation at the tip of a cutout in a viscoelastic solid body undergoing loading

TL;DR

This study uses finite element analysis to examine how temperature and heat generation evolve at the tip of a cutout in a viscoelastic solid during loading and unloading, highlighting the role of viscosity and localized heating.

Contribution

It provides a detailed quantitative analysis of temperature distribution and heat generation at crack tips in viscoelastic materials, emphasizing the impact of viscosity and the localization of temperature changes.

Findings

Viscosity significantly influences temperature field changes.

Temperature changes are highly concentrated at the crack tip.

Results qualitatively match experimental observations in rubber materials.

Abstract

Using the finite element method we quantitatively analyse temperature field evolution in a viscoelastic solid undergoing a loading--unloading process. In particular we investigate the temperature field inside a Kelvin--Voigt type viscoelastic body with a thin cutout. We find that the viscosity significantly contributes to the temperature field changes, and that the temperature field changes initiated by the loading--unloading process are strongly concentrated at the tip of the thin cutout. The predicted temperature field qualitatively corresponds to the temperature field observed in experiments focused on simultaneous heat and strain measurements at the crack tip inside materials such as the filled rubber.