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

Barral Patricia | Zendy; NayaRiveiro M. Cristina | Zendy; Quintela Peregrina | Zendy

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

Author(s) -

Barral Patricia,

NayaRiveiro M. Cristina,

Quintela Peregrina

Publication year - 2007

Publication title -

mathematical methods in the applied sciences

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.719

H-Index - 65

eISSN - 1099-1476

pISSN - 0170-4214

DOI - 10.1002/mma.875

Subject(s) - uniqueness , viscoelasticity , quasistatic process , mathematics , superposition principle , mathematical analysis , uniqueness theorem for poisson's equation , thermodynamics , physics

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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