Quarterly of Applied Mathematics

Quarterly of Applied Mathematics

Online ISSN 1552-4485; Print ISSN 0033-569X



On the thermodynamics of viscoelastic materials of single-integral type

Authors: Morton E. Gurtin and William J. Hrusa
Journal: Quart. Appl. Math. 49 (1991), 67-85
MSC: Primary 73B30; Secondary 73F15, 73F99
DOI: https://doi.org/10.1090/qam/1096233
MathSciNet review: MR1096233
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  • [1] D. Brandon and W. J. Hrusa, Construction of a class of integral models for heat flow in materials with memory, J. Integral Equations Appl. 1, 175-201 (1988) MR 978740
  • [2] B. D. Coleman, Thermodynamics of materials with memory, Arch. Rational Mech. Anal. 17, 1-46 (1964) MR 0171419
  • [3] B. D. Coleman, On thermodynamics, strain impulses, and viscoelasticity, Arch. Rational Mech. Anal. 17, 230-254 (1964) MR 0171420
  • [4] W. A. Day, The Thermodynamics of Simple Materials with Fading Memory, Springer, 1972 MR 0366234
  • [5] M. E. Gurtin, An Introduction to Continuum Mechanics, Academic Press, 1981 MR 636255
  • [6] M. E. Gurtin and I. Herrera, On dissipation inequalities and linear viscoelasticity, Quart. Appl. Math. 23, 235-245 (1965) MR 0189346
  • [7] M. E. Gurtin and W. J. Hrusa, On energies for nonlinear viscoelastic materials of single-integral type, Quart. Appl. Math. 46, 381-392 (1988) MR 950610
  • [8] C. B. Navarro, Asymptotic stability in linear thermoviscoelasticity, J. Math. Anal. Appl. 65, 399-431 (1978) MR 0502613
  • [9] M. Renardy, W. J. Hrusa, and J. A. Nohel, Mathematical Problems in Viscoelasticity, Longman Scientific and Technical, Essex, England, and John Wiley, New York, 1987 MR 919738
  • [10] L. S. Shu and E. T. Onat, On anisotropic linear viscoelastic solids, Proc. 4th Symp. Naval Structural Mech., Purdue University, April 1965. Reprinted in: Mechanics and Chemistry of Solid Propellants, Pergamon, New York-Oxford, 1966
  • [11] C. Truesdell and W. Noll, The Non-linear Field Theories of Mechanics, Handbuch der Physik Vol. III/3 (S. Flugge, ed.), Springer, 1965 MR 0193816

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DOI: https://doi.org/10.1090/qam/1096233
Article copyright: © Copyright 1991 American Mathematical Society

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