A new model for an aging thermoviscoelastic material
type: Item
instance of: scholarly article
title: A new model for an aging thermoviscoelastic material
zbMATH Open document ID: 0852.73027
DOI: 10.1016/0093-6413(95)00046-T
published in: Mechanics Research Communications
publication date: 1996-12-12T00:00:00Z
review text: A new model is proposed for an aging viscoelastic material. The medium is treated as a collection of springs instantly joining the system or collapsing so that their total number is fixed at all times. A new constitutive equation is suggested for the case of a thermoviscoelastic solid. It is assumed that the rate of ``birth'' of new springs \(r\) in the medium is proportional to its temperature \(\theta\). Under this assumption, the destruction rate \(w\) and the dimensionless rate of birth \(v\) are unique solutions of a linear Volterra equation. The proposed model is claimed to be in better agreement with the real physical process of non-isothermal loading as indicated by experimental data.
Mathematics Subject Classification ID: 74D99
zbMATH DE Number: 831874
zbMATH Keywords: collection of springs
zbMATH Keywords: constitutive equation
zbMATH Keywords: linear Volterra equation
zbMATH Keywords: non-isothermal loading
author: Aleksey D. Drozdov
author: Alexander L. Kalamkarov
MaRDI profile type: Publication
full work available at URL: 0093-6413(95)00046-t
OpenAlex ID: W2016061016
description: scientific article; zbMATH DE number 831874