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Mathematical analysis of a viscoelastic problem with temperature-dependent coefficients—Part I: Existence and uniqueness

✍ Scribed by Patricia Barral; M. Cristina Naya-Riveiro; Peregrina Quintela

Publisher: John Wiley and Sons
Year: 2007
Tongue: English
Weight: 207 KB
Volume: 30
Category: Article
ISSN: 0170-4214
DOI: 10.1002/mma.875

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✦ Synopsis

Abstract

The aim of this article is to study the quasistatic evolution of a thermoviscoelastic problem whose behaviour law is of the Maxwell–Norton type with coefficients depending on temperature. In this law, the deformation rate tensor is a superposition of viscoelastic and thermal contributions. The existence and uniqueness of the solution is proved. Copyright © 2007 John Wiley & Sons, Ltd.

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Mathematical analysis of a viscoelastic

Mathematical analysis of a viscoelastic problem with temperature-dependent coefficients—Part II: Regularity

✍ Patricia Barral; M. Cristina Naya-Riveiro; Peregrina Quintela 📂 Article 📅 2007 🏛 John Wiley and Sons 🌐 English ⚖ 213 KB

## Abstract In this paper, we study local regularity properties of the stress solution of a quasistatic thermoviscoelastic problem whose behaviour law is of the Maxwell–Norton type with temperature‐dependent coefficients. Copyright © 2007 John Wiley & Sons, Ltd.