Vol. 4, No. 1, 2009

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ISSN: 1559-3959
Fundamental solution in the theory of viscoelastic mixtures

Simona De Cicco and Merab Svanadze

Vol. 4 (2009), No. 1, 139–156
Abstract

In the first part of the paper, we derive a linear theory of thermoviscoelastic binary mixtures. Then, the fundamental solution of the system of linear coupled partial differential equations of steady oscillations (steady vibrations) of the theory of viscoelastic binary mixtures is constructed in terms of elementary functions, and basic properties are established.

Keywords
mixtures, thermoviscoelasticity, constitutive equations, fundamental solution
Milestones
Received: 14 October 2008
Revised: 8 January 2009
Accepted: 12 January 2009
Published: 8 April 2009
Authors
Simona De Cicco
Dipartimento di Costruzioni e Metodi Matematici in Architettura
Università di Napoli “Federico II”
Via Monteoliveto 3
80134 Napoli
Italy
Merab Svanadze
Faculty of Physics and Mathematics
Ilia Chavchavadze State University
I. Chavchavadze Ave. 32
0179 Tbilisi
Georgia