Thermodynamic Influences on the Growth and Decay of Acceleration Waves

Conference paper


Previous papers [1, 2] in this series have dealt with shock and acceleration waves in materials with memory.* Those articles, resting on the constitutive assumption that the stress is a functional of the history of the deformation gradient, neglected thermal influences. In this and subsequent papers we shall allow the stress to be affected not only by the history of the strain, but also the history of a thermodynamic variable such as the temperature. We shall make no restriction on this influence of the history of strain and temperature on the stress other than to suppose that it be compatible with the laws of thermodynamics and the principle of fading memory.**


Deformation Gradient Relaxation Function Jump Discontinuity Stress Relation Acceleration Wave 
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  1. [1]
    Coleman, B. D., M. E. Gurtin, & I. Herrera R., Arch. Rational Mech. Anal. 19, 1–18 (1965).MathSciNetADSzbMATHGoogle Scholar
  2. [2]
    Coleman, B. D., & M. E. Gurtin, Arch. Rational Mech. Anal. 19, 239–265 (1965).MathSciNetzbMATHGoogle Scholar
  3. [3]
    Coleman, B. D., Arch. Rational Mech. Anal. 17, 1–46 (1964).MathSciNetADSGoogle Scholar
  4. [4]
    Coleman, B. D., Arch. Rational Mech. Anal. 17, 230–254 (1964).MathSciNetADSzbMATHGoogle Scholar
  5. [5]
    Truesdell, C., & R. A. Toupin, The Classical Field Theories. In the Encyclopedia of Physics, Vol. III/L, edited by S. FlÜGGE. Berlin-Göttingen-Heidelberg: Springer 1960.Google Scholar
  6. [6]
    Fourier, J., Théorie Analytique de la Chaleur. Paris, 1822 Oeuvres, Vol. 1.Google Scholar
  7. [7]
    Flory, P. J., Principles of Polymer Chemistry. Ithaca, New York: Cornell University Press 1953.Google Scholar
  8. [8]
    Truesdell, C., Arch. Rational Mech. Anal. 8, 263–296 (1961).MathSciNetADSzbMATHCrossRefGoogle Scholar
  9. [9]
    Varley, E., Arch. Rational Mech. Anal. 19, 215–225 (1965).MathSciNetADSzbMATHCrossRefGoogle Scholar
  10. [10]
    Coleman, B. D., & W. Noll, Arch. Rational Mech. Anal. 13, 167–178 (1963).MathSciNetADSzbMATHCrossRefGoogle Scholar
  11. [11]
    Rankine, W. J. M., Phil. Trans. Roy. Soc. London 160, 277–288 (1870).CrossRefGoogle Scholar
  12. [12]
    Hayes, W. D., Gasdynamic Discontinuities. Princeton: Princeton University Press 1960.zbMATHGoogle Scholar

Copyright information

© Springer-Verlag Berlin · Heidelberg 1965

Authors and Affiliations

  1. 1.Mellon InstitutePittsburghUSA
  2. 2.Brown UniversityProvidenceUSA

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