The contact problem in thermoviscoelastic materials

Mitsuhiro Nakao, Jaime E. Muñoz Rivera

Research output: Contribution to journalArticle

17 Citations (Scopus)

Abstract

We stablish an existence result for the thermoviscoelastic degenerated contact problem. The nonlinear stress-strain relation we will consider here is given by where M is a function satisfying M ∈ C1(]0, ∞[) ∩ C([0, ∞[), M(s) ≥ C s p. Moreover, we show that the solution decays uniformly to zero. That is, denoting by E(t) the first-order energy associated to the equation, we show that there exist positive constants C satisfying E(t) ≤ C(E(0))(1 + t)-(p + 2)/p where p is a positive number which depends on nonlinear terms of the system.

Original languageEnglish
Pages (from-to)522-545
Number of pages24
JournalJournal of Mathematical Analysis and Applications
Volume264
Issue number2
DOIs
Publication statusPublished - 2001 Dec 15
Externally publishedYes

Fingerprint

Contact Problem
M-function
Existence Results
Decay
First-order
Zero
Term
Energy

Keywords

  • Polynomial decay
  • Signorini's problem
  • Thermoviscoelasticity

ASJC Scopus subject areas

  • Analysis
  • Applied Mathematics

Cite this

The contact problem in thermoviscoelastic materials. / Nakao, Mitsuhiro; Muñoz Rivera, Jaime E.

In: Journal of Mathematical Analysis and Applications, Vol. 264, No. 2, 15.12.2001, p. 522-545.

Research output: Contribution to journalArticle

Nakao, Mitsuhiro ; Muñoz Rivera, Jaime E. / The contact problem in thermoviscoelastic materials. In: Journal of Mathematical Analysis and Applications. 2001 ; Vol. 264, No. 2. pp. 522-545.
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