Asymptotic behavior for linear and nonlinear elastic waves in materials with memory

R. Kirova, Vladimir Simeonov Gueorguiev, B. Rubino, R. Sampalmieri, B. Yordanov

Research output: Contribution to journalArticle

6 Citations (Scopus)

Abstract

In this review, we study the Cauchy problem associated to the equation of linear and nonlinear viscoelasticity with memory. Our first point is the study of dispersive properties of the solution to the linear equation of viscoelasticity with memory. The decay estimates obtained in this first part are important to treat the corresponding nonlinear Cauchy problem. The key novelty is the fact that we admit algebraic singularities and decay at infinity for the time dependent functions in the memory kernel. This fact enables one to include models different from the classical viscoelasticity problem, where this kernel is smooth and exponentially decaying in time.

Original languageEnglish
Pages (from-to)4126-4137
Number of pages12
JournalJournal of Non-Crystalline Solids
Volume354
Issue number35-39
DOIs
Publication statusPublished - 2008 Oct 1
Externally publishedYes

Fingerprint

viscoelasticity
Elastic waves
Viscoelasticity
elastic waves
Cauchy problem
Data storage equipment
decay
linear equations
Linear equations
infinity
estimates
Materials with memory

Keywords

  • Viscoelasticity

ASJC Scopus subject areas

  • Ceramics and Composites
  • Electronic, Optical and Magnetic Materials

Cite this

Asymptotic behavior for linear and nonlinear elastic waves in materials with memory. / Kirova, R.; Gueorguiev, Vladimir Simeonov; Rubino, B.; Sampalmieri, R.; Yordanov, B.

In: Journal of Non-Crystalline Solids, Vol. 354, No. 35-39, 01.10.2008, p. 4126-4137.

Research output: Contribution to journalArticle

Kirova, R. ; Gueorguiev, Vladimir Simeonov ; Rubino, B. ; Sampalmieri, R. ; Yordanov, B. / Asymptotic behavior for linear and nonlinear elastic waves in materials with memory. In: Journal of Non-Crystalline Solids. 2008 ; Vol. 354, No. 35-39. pp. 4126-4137.
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