Domain of influence theorem and uniqueness results in magneto-thermoelasticity

In this paper, some energy inequalities are developed for an unbounded perfect electrically conducting generalized thermoelastic region moving in a variable magnetic field. Sufficient restrictions on the magneto-thermoelastic moduli and solutions are given in order that the perturbations initially generated in a bounded domain of the body cannot invade the whole body. Some uniqueness results are readily proved provided that such restrictions are met.

[1]  B. Carbonaro,et al.  Wave propagation and uniqueness in magneto-elastodynamics , 1986 .

[2]  A. Russo,et al.  On the Asymptotic Behaviour of the Solutions of the Equations of Linear Elastodynamics in Unbounded Domains , 2009 .

[3]  N. Noda,et al.  Derivation of Material Constants in Non-Linear Electro-Magneto-Thermo-Elasticity , 2010 .

[4]  Gérard A. Maugin,et al.  Electrodynamics Of Continua , 1990 .

[5]  R. Russo.  Classical coupled thermoelasticity in unbounded domains , 1989 .

[6]  H. Lord,et al.  A GENERALIZED DYNAMICAL THEORY OF THERMOELASTICITY , 1967 .

[7]  Richard B. Hetnarski,et al.  GENERALIZED THERMOELASTICITY: CLOSED-FORM SOLUTIONS , 1993 .

[8]  DOMAIN OF INFLUENCE IN THERMOELASTICITY WITH ONE RELAXATION TIME , 1980 .

[9]  A domain of influence theorem in linear thermo-elasticity with thermal relaxation and internal variable , 2002 .

[10]  Martin Ostoja-Starzewski,et al.  Thermoelasticity with Finite Wave Speeds , 2009 .

[11]  Theorems of zaremba type for thermoelastic solid , 1977 .

[12]  J. Ignaczak,et al.  SOME THEOREMS IN TEMPERATURE-RATE-DEPENDENT THERMOELASTICITY FOR UNBOUNDED DOMAINS , 1987 .

[13]  Gérard A. Maugin,et al.  Continuum Mechanics of Electromagnetic Solids , 1989 .

[14]  Emad Awad.  A Note on the Spatial Decay Estimates in Non-Classical Linear Thermoelastic Semi-Cylindrical Bounded Domains , 2011 .

[15]  A. Russo,et al.  On a mixed initial boundary-value problem of linear elastodynamics , 2011 .

[16]  D. Chandrasekharaiah,et al.  Hyperbolic Thermoelasticity: A Review of Recent Literature , 1998 .

[17]  A. L. Florence,et al.  Dynamic problems of thermoelasticity , 1975 .

[18]  M. Gurtin.  The Linear Theory of Elasticity , 1973 .

[19]  Domain of influence theorem in linear thermoelasticity , 1978 .

[20]  J. Ignaczak.  Domain of Influence Results in Generalized Thermoelasticity—A Survey , 1991 .

[21]  B. Carbonaro,et al.  Energy inequalities and the domain of influence theorem in classical elastodynamics , 1984 .

[22]  N. Laws,et al.  On the entropy production inequality , 1972 .

[23]  Emad Awad,et al.  Micropolar generalized magneto-thermoelasticity with modified Ohm's and Fourier's laws , 2009 .