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Thermoelasticity without energy dissipation

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Abstract

This paper deals with thermoelastic material behavior without energy dissipation; it deals with both nonlinear and linear theories, although emphasis is placed on the latter. In particular, the linearized theory of thermoelasticity discussed possesses the following properties: (a) the heat flow, in contrast to that in classical thermoelasticity characterized by the Fourier law, does not involve energy dissipation; (b) a constitutive equation for an entropy flux vector is determined by the same potential function which also determines the stress; and (c) it permits the transmission of heat as thermal waves at finite speed. Also, a general uniqueness theorem is proved which is appropriate for linear thermoelasticity without energy dissipation.

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References

  1. L. Brun, Methodes énergétiques dans les systémes évolutifs linéare-I. Séparation des energies et II. Théorèmes d'uniclté. J. Mécanique 8 (1969) 125–192.

    Google Scholar 

  2. D.E. Carlson, Linear thermoelasticity. In: C. Truesdell (ed.) S. Flügge's Handbuch der Physik, Vol. VIa/2. Springer-Verlag (1972) pp. 297–345.

  3. A.E. Green, P.M. Naghdi, On thermodynamies and the nature of the second law. Proc. Roy. Soc. Lond. A 357 (1977) 253–270.

    Google Scholar 

  4. A.E. Green and P.M. Naghdi, A note on invariance under superposed rigid body motions. J. Elasticity 9 (1979) 1–8.

    Google Scholar 

  5. A.E. Green and P.M. Naghdi, Aspects of the second law of thermodynamics in the presence of electromagnetic effects. Quart. J. Mech. Appl. Math. 37 (1984) 179–193.

    Google Scholar 

  6. A.E. Green and P.M. Naghdi, A re-examination of the basic postulates of thermomechanics. Proc. Roy. Soc. Lond. A 432 (1991) 171–194.

    Google Scholar 

  7. A.E. Green and P.M. Naghdi, A demonstration of consistency of an entropy balance with balance of energy. J. Appl. Math. Phys. (ZAMP) 42 (1991) 159–168.

    Google Scholar 

  8. D.D. Joseph and L. Preziosi, Heat waves. Revs. Mod. Phys. 61 (1989) 41–73 and addendum 62 (1990) 375–391.

    Google Scholar 

  9. P.M. Naghdi and J.A. Trapp, A uniqueness theorem in the theory of Cosserat surface. J. Elasticity 2 (1972) 9–20.

    Google Scholar 

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Authors and Affiliations

  1. Muthematical Institute, University of Oxford, 24-29 St. Giles, OXI 3LB, Oxford, UK

    A. E. Green

  2. Department of Mechanical Engineering, University of California, 94720, Berkeley, CA, USA

    P. M. Naghdi

Authors
  1. A. E. Green
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  2. P. M. Naghdi
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Green, A.E., Naghdi, P.M. Thermoelasticity without energy dissipation. J Elasticity 31, 189–208 (1993). https://doi.org/10.1007/BF00044969

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  • DOI: https://doi.org/10.1007/BF00044969

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