Calculus of Variations and Geometric Measure Theory

G. Dal Maso - R. Toader

Energy-Dissipation Balance for Dynamic Viscoelastic Problems with Memory in Domains with Growing Cracks

created by dalmaso on 03 Apr 2025

[BibTeX]

Preprint

Inserted: 3 apr 2025
Last Updated: 3 apr 2025

Year: 2025

Abstract:

We consider a dynamic viscoelastic problem with memory in a domain with a crack growing with constant velocity. Through a careful analysis of the singularity of the solutions around the crack tip we show that for suitable values of the material constants there exist solutions that satisfy the energy-dissipation balance. It is known that this is not possible for the Kelvin-Voigt model.


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