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Thermodynamics based on a work axiom

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References

  1. Breuer, S., & E.T. Onat, On recoverable work in linear viscoelasticity. Z. angew. Math. Phys. 15, 12–21 (1964).

    Google Scholar 

  2. Coleman, B.D., Thermodynamics of materials with memory. Arch. Rational Mech. Anal. 17, 1–46 (1964).

    Google Scholar 

  3. Coleman, B.D., On thermodynamics, strain impulses and viscoelasticity. Arch. Rational Mech. Anal. 17, 230–254 (1964).

    Google Scholar 

  4. Coleman, B.D., & M.E. Gurtin, Waves in materials with memory, II. On the growth and decay of one dimensional acceleration waves. Arch. Rational Mech. Anal. 19, 239–265 (1965). Reprinted in: Wave Propagation in Dissipative Materials. Berlin-Heidelberg-New York: Springer 1966.

    Google Scholar 

  5. Coleman, B.D., & V.J. Mizel, A general theory of dissipation in materials with memory. Arch. Rational Mech. Anal. 27, 255–274 (1968).

    Google Scholar 

  6. Coleman, B.D., & W. Noll, An approximation theorem for functionals, with applications in continuum mechanics. Arch. Rational Mech. Anal. 6, 355–370 (1960).

    Google Scholar 

  7. Coleman, B.D., & W. Noll, Foundations of linear viscoelasticity. Rev. Mod. Phys. 33, 239–249 (1961).

    Google Scholar 

  8. Day, W. A., A note on useful work. To appear in Quart. Appl. Math.

  9. Gurtin, M.E., On the thermodynamics of materials with memory. Arch. Rational Mech. Anal. 23, 40–50 (1968).

    Google Scholar 

  10. Gurtin, M.E., & I. Herrera, On dissipation inequalities and linear viscoelasticity. Quart. Appl. Math. 23, 235–245 (1965).

    Google Scholar 

  11. König, H., & J. Meixner, Lineare Systeme und lineare Transformationen. Math. Nach. 19, 256–322 (1958).

    Google Scholar 

  12. Shu, L.S., & E.T. Onat, On anisotropic linear viscoelastic solids. Proceedings of the Fourth Symposium on Naval Structural Mechanics, Purdue University, April 1965. Reprinted in: Mechanics and Chemistry of Solid Propellants. Oxford and New York: Pergamon 1966.

  13. Truesdell, C., & W. Noll, The Non-Linear Field Theories of Mechanics. Encyclopedia of Physics, Vol. III/3, edited by S. Flügge. Berlin-Heidelberg-New York: Springer 1965.

    Google Scholar 

  14. Wang, C.-C., & R.M. Bowen, On the thermodynamics of non-linear materials with quasielastic response. Arch. Rational Mech. Anal. 22, 79–99 (1966).

    Google Scholar 

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  1. Hertford College, Oxford

    W. A. Day

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  1. W. A. Day
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Communicated by M. E. Gurtin

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Day, W.A. Thermodynamics based on a work axiom. Arch. Rational Mech. Anal. 31, 1–34 (1968). https://doi.org/10.1007/BF00251512

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