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Energy for hypoelastic constitutive equations

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References

  1. Truesdell, C, & W. Noll, The nonlinear field theories of mechanics, Handbuch der Physik, Vol. III/3, Springer-Verlag, 1965.

  2. Noll, W., A new mathematical theory of simple materials, Arch. Rational Mech. Anal. 48(1972), 1–50.

    Google Scholar 

  3. Bernstein, B., Hypoelasticity and elasticity, Arch. Rational Mech. Anal. 6(1960), 89–104.

    Google Scholar 

  4. Coleman, B. D., & D. R. Owen, On thermodynamics and intrinsically equilibrated materials, Annali di Mat. pura ed Appl. 108 (1976), 189–199.

    Google Scholar 

  5. Bernstein, B., & J. L. Ericksen, Work functions in hypoelasticity, Arch. Rational Mech. Anal. 1(1957–58), 396–409.

    Google Scholar 

  6. Ericksen, J. L., Hypoelastic potentials, Quart. J. Mech. and Appl. Math. 11(1958), 67–72.

    Google Scholar 

  7. Truesdell, C., Hypoelasticity, J. Rational Mech. Anal. 4 (1955), 83–133, 1019–1020.

    Google Scholar 

  8. Gurtin, M. E., & I. Suliciu, published in Cristescu, N., & I. Suliciu, Viscoplasticity, Ch. VI, Ed. Tehnica, Bucuresti, 1976 (in Romanian).

    Google Scholar 

  9. Hicks, N. F., Notes on Differential Geometry, Van Nostrand, 1971.

  10. Sternberg, S., Lectures on Differential Geometry, Prentice-Hall Inc., Englewood Cliffs, N.J., 1964.

    Google Scholar 

  11. Hartman, P., Ordinary Differential Equations, John Wiley and Sons, 1964.

  12. Gurtin, M. E., I. Suliciu & W. O. Williams, On rate-type constitutive equations and energy (to be published).

  13. Mihăilescu-SuLiciu, M., & I. Suliciu, Hypoelasticity and rate-independent plasticity theory (to be published).

  14. Gurtin, M. E., private communication, March, 1977.

  15. Nunziato, J. W., & D. S. Drumheller, The thermodynamics of Maxwellian materials, Int. J. Solids Structure 14(1978), 545–558.

    Google Scholar 

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Communicated by C. Truesdell

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Mihăilescu-suliciu, M., Suliciu, I. Energy for hypoelastic constitutive equations. Arch. Rational Mech. Anal. 71, 327–344 (1979). https://doi.org/10.1007/BF00247707

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  • DOI: https://doi.org/10.1007/BF00247707

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