On a theory of thermoelasticity with microtemperatures

Journal of Thermal Stresses

Volumn 23, Issue 3, 2000, Pages 199-215

  Iesan, D ^a   Quintanilla, R ^b  

^a ALEXANDRU IOAN CUZA UNIVERSITY OF IASI   (Romania)

^b UNIVERSITAT POLITÈCNICA DE CATALUNYA   (Spain)

Author keywords

[No Author keywords available]

Indexed keywords

HEAT CONDUCTION; MICROSTRUCTURE; THERMAL STRESS; VECTORS;

MICROTEMPERATURES;

THERMOELASTICITY;

EID: 0034350402     PISSN: 01495739     EISSN: None     Source Type: Journal    
DOI: 10.1080/014957300280407     Document Type: Article

References (18)

1. A.C. Eringen and E.S. Suhubi, Nonlinear Theory of Simple Microelastic Solids, I and II, Int. J. Engrg. Sci., vol. 2, pp. 189-203 and 389-403, 1964.
2. R.D. Mindlin, Microstructure in Linear Elasticity, Arch. Rational Mech. Anal., vol. 16, pp. 51-77, 1964.
3. A.E. Green and R.S. Rivlin, Multipolar Continuum Mechanics, Arch. Rational Mech. Anal., vol 17, pp. 113-147, 1964.
4. A.C. Eringen and C.B. Kafadar, Polar Field Theories, in A.C. Eringen (ed.), Continuum Physics, vol. 4, Academic Press, New York, 1976.
5. R. Grot, Thermodynamics of a Continuum with Microstructure, Int. J. Engrg. Sci., vol. 7, pp. 801-814, 1969.
6. S.L. Koh, Theory of a Second-order Microfluid, Rheol. Acta, vol. 12, pp. 418-430, 1973.
7. P. Riha, On the Theory of Heat-conducting Micropolar Fluids with Microtemperatures, Acta Mech., vol. 23, pp. 1-8, 1975.
8. P. Riha, Poiseuille Flow of Microthermopolar Fluids, Acta Technica CSAV, vol. 22, pp. 602-614, 1977.
9. P.D.S. Verma, D.V. Singh, and K. Singh, Hagen-Poiseuille Flow of Microthermopolar Fluids in a Circular Pipe, Acta Technica CSAV, vol. 24, pp. 402-412, 1979.
10. P. Riha, On the Microcontinuum Model of Heat Conduction in Materials with Inner Structure, Int. J. Engrg. Sci., vol. 14, pp. 529-535, 1976.
11. D. Gilbarg and N.S. Trudinger, Elliptic Partial Differential Equations of Second Order, Springer-Verlag, Berlin, 1983.
12. J.E. Marsden and T.J.R. Hugues, Mathematical Foundations of Elasticity, Prentice Hall Inc., Englewood Cliffs, NJ, 1983.
13. C.M. Dafermos, Contraction Semigroups and Trends to Equilibrium in Continuum Mechanics, in P. Germain and B. Nayroles (eds.), Applications of Methods of Functional Analysis to Problems in Mechanics, Springer Lecture Notes in Math., vol. 503, pp. 295-306, Springer-Verlag, Berlin, 1976.
14. A. Pazy, Semigroups of Nonlinear Contractions and Their Asymptotic Behaviour, in R.J. Knops (ed.), Nonlinear Analysis and Mechanics: Heriot-Watt Symposium Pitman Res. Notes in Math., Longman Scientific and Technical, Essex, 1979.
15. A. Falqués, Estabilidad asintótica de la termoelasticidad generalizada, Tesis Doctoral Facultad de Ciencias, Universidad de Barcelona. Barcelona, 1981.
16. J.V. Kim, On the Energy Decay of a Linear Thermoelastic Bar and Plate, SIAM J. Math. Anal., vol. 23, pp. 889-899, 1992.
17. J.E. Muñoz Rivera, Energy Decay Rates in Linear Thermoelasticity, Funk. Ekvaciaj, vol. 35, pp. 19-30, 1992.
18. W. Nowacki, Thermoelasticity, Pergamon Press, Oxford, 1962.