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Propagation of Second-Order Thermomechanical Disturbances in Viscoelastic Solids

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Thermoinelasticity

Part of the book series: IUTAM Symposia ((IUTAM))

Summary

The change of magnitude of a strain discontinuity is studied as it propagates in a heat conducting viscoelastic medium. The paper includes an investigation of the effects of thermomechanical coupling, viscous flow, second-order strains, and temperature-dependent material properties.

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References

  1. Achenbach, J. D., S. M. Vogel and G. Herrmann: On Stress Waves in Visco- elastic Media Conducting Heat. Irreversible Aspects of Continuum Mechanics — Transfer of Physical Characteristics in Moving Fluids. Ed. by H. Parkus and L. I. Sedov. Wien-New York: Springer. 1968.

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  2. Herrmann, G.: On Second-Order Thermoelastic Effects. ZAMP 15, 253–262 (1964).

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  3. Christensen, R. M., and P. M. Naghdi: Linear Non-Isothermal Viscoelastic Solids. Acta Mechanica 3, 1–12 (1967).

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  4. Coleman, B. D.: Thermodynamics of Material with Memory. Arch. Rational Mech. Anal. 17, 230–254 (1964).

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  5. Achenbach, J. D.: The Influence of Heat Conduction on Propagating Stress Jumps. J. Mech. Phys. Solids 16, 273–282 (1968).

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  6. Vogel, S. M.: The Influence of Thermodynamical Effects on Stress Waves in Viscoelastic Solids. Ph. D. Dissertation, Northwestern University, 1968.

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  7. Coleman, B. D., and M. E. Gurtin: Thermodynamics and One-Dimensional Shock Waves in Materials with Memory. Proc. Roy. Soc., A, 292, 562–574 (1966).

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  8. Achenbach, J. D.: The Propagation of Stress Discontinuities According to the Coupled Equations of Thermoelasticity. Acta Mechanica 3, 342–351 (1967).

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Author information

Authors and Affiliations

  1. Evanston, Ill., USA

    J. D. Achenbach & G. Herrmann

Authors
  1. J. D. Achenbach
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  2. G. Herrmann
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Editor information

Editors and Affiliations

  1. Ithaca, N.Y., USA

    Bruno A. Boley

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© 1970 Springer-Verlag/Wien

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Achenbach, J.D., Herrmann, G. (1970). Propagation of Second-Order Thermomechanical Disturbances in Viscoelastic Solids. In: Boley, B.A. (eds) Thermoinelasticity. IUTAM Symposia. Springer, Vienna. https://doi.org/10.1007/978-3-7091-8244-4_1

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  • DOI: https://doi.org/10.1007/978-3-7091-8244-4_1

  • Publisher Name: Springer, Vienna

  • Print ISBN: 978-3-7091-8246-8

  • Online ISBN: 978-3-7091-8244-4

  • eBook Packages: Springer Book Archive

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