Vol. 6, No. 9-10, 2011

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ISSN: 1559-3959
Uniqueness theorems in the equilibrium theory of thermoelasticity with microtemperatures for microstretch solids

Antonio Scalia and Merab Svanadze

Vol. 6 (2011), No. 9-10, 1295–1311
Abstract
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In this paper the linear equilibrium theory of thermoelasticity with microtemperatures for isotropic microstretch solids is considered and some basic results of the classical theories of elasticity and thermoelasticity are generalized. Green’s formulas in the theory are obtained. A wide class of internal and external boundary value problems are formulated, and uniqueness theorems are proved.

Keywords
thermoelasticity with microtemperatures, equilibrium theory, uniqueness theorems
Milestones
Received: 6 February 2011
Revised: 3 July 2011
Accepted: 23 July 2011
Published: 15 January 2012
Authors
Antonio Scalia
Dipartimento di Matematica e Informatica
Università di Catania
Viale Andrea Doria 6
I-95125 Catania
Italy
Merab Svanadze
Institute for Fundamental and Interdisciplinary Mathematics Research
Ilia State University
K. Cholokashvili Ave. 3/5
0162 Tbilisi
Georgia