Skip to main content
SpringerLink
Log in

Dispersion Relations for the Coupled Hyperbolic Thermoelasticity

  • Living reference work entry
  • First Online:
Encyclopedia of Continuum Mechanics

  • 212 Accesses

This is a preview of subscription content, log in via an institution to check access.

Access this chapter

Log in via an institution

Institutional subscriptions

References

  • Babenkov MB (2011) Analysis of dispersion relations of a coupled thermoelasticity problem with regard to heat flux relaxation. J Appl Mech Tech Phys 52(6):941–949

    Google Scholar 

  • Babenkov MB (2013) Propagation of harmonic perturbations in a thermoelastic medium with heat relaxation. J Appl Mech Tech Phys 54(2):277–286

    Google Scholar 

  • Chandrasekharaiah DS (1998) Hyperbolic thermoelasticity: a review of recent literature. Appl Mech Rev 51:705–729

    Google Scholar 

  • Hetnarski RB, Ignaczak J (1996) Solution–like waves in a low–temperature nonlinear thermoelastic solid. Int J Eng Sci 34:1767–1787

    Google Scholar 

  • Ivanova EA (2010) Derivation of theory of thermoviscoelasticity by means of two-component medium. Acta Mech 215(1):261–286

    Google Scholar 

  • Ivanova EA (2011) On one model of generalised continuum and its thermodynamical interpretation. In: Altenbach H, Maugin GA, Erofeev V (eds) Mechanics of generalized continua. Springer, Berlin, pp 151–174

    Google Scholar 

  • Ivanova EA (2012) Derivation of theory of thermoviscoelasticity by means of two-component Cosserat continuum. Tech Mech 32(2–5):273–286

    Google Scholar 

  • Ivanova EA (2014) Description of mechanism of thermal conduction and internal damping by means of two component Cosserat continuum. Acta Mech 225(3): 757–795

    Google Scholar 

  • Jou D, Casas-Vazquez J, Lebon G (1996) Extended irreversible thermodynamics. Springer, Berlin/Heidelberg

    Google Scholar 

  • Nowacki W (1975) Dynamic problems of thermoelasticity. Springer Science & Business Media, Springer, Netherlands

    Google Scholar 

  • Ponnusamy P, Selvamani R (2012) Wave propagation in a generalized thermo elastic plate embedded in elastic medium. Interact Multiscale Mech 5(1):13–26

    Google Scholar 

  • Pop E, Sinha S, Kenneth E (2006) Goodson heat generation and transport in nanometer-scale transistors. Proc IEEE 94(8):1587–1601

    Google Scholar 

  • Selvamani R (2014) Flexural wave motion in a heat conducting doubly connected thermo-elastic plate of polygonal cross-sections. Mater Phys Mech 19:51–67

    Google Scholar 

  • Shashkov AG, Bubnov VA, Yanovski SY (2004) Wave phenomena of heat conductivity: system and structural approach Moscow (in Russian)

    Google Scholar 

  • Shaw S, Mukhopadhyay B (2011) Thermo elastic waves with thermal relaxation in isotropic micropolar plate. Sadhana 36(2):209–221

    Google Scholar 

  • Tzou DY (1989) On the thermal shock wave induced by a moving heat source. Int J Heat Mass Transf 111: 232–238

    Google Scholar 

  • Tzou DY (1997) Macro-to-microscale heat transfer. The lagging behaviour. Taylor and Francis, New York

    Google Scholar 

  • Vitokhin EYu, Ivanova EA (2017) Dispersion relations for the hyperbolic thermal conductivity, thermoelasticity and thermoviscoelasticity. Contin Mech Thermodyn. https://doi.org/10.1007/s00161-017-0574-x

  • Wang CC (1965) The principle of fading memory. Arch Ration Mech Anal 18(5):43–366

    Article  MathSciNet  Google Scholar 

Download references

Author information

Authors and Affiliations

  1. Peter the Great Saint-Petersburg Polytechnic University, 195251, Polytechnicheskaya, 29, St. Petersburg, Russia

    Mikhail B. Babenkov

  2. Institute for Problems in Mechanical Engineering RAS, 199178, Bolshoy pr. V. O., 61, St. Petersburg, Russia

    Mikhail B. Babenkov

  3. Peter the Great Saint-Petersburg Polytechnic University, 195251, Polytechnicheskaya, 29, St. Petersburg, Russia

    Evgeniy Yu. Vitokhin

Authors
  1. Mikhail B. Babenkov
    View author publications

    You can also search for this author in PubMed Google Scholar

  2. Evgeniy Yu. Vitokhin
    View author publications

    You can also search for this author in PubMed Google Scholar

Corresponding author

Correspondence to Mikhail B. Babenkov .

Editor information

Editors and Affiliations

  1. Institut für Mechanik, Otto-von-Guericke-Universität Institut für Mechanik, Magdeburg, Germany

    Holm Altenbach

  2. Griffith University (Gold Coast Campus), Griffith School of Engineering Griffith University (Gold Coast Campus), Southport, Queensland, Australia

    Andreas Öchsner

Section Editor information

  1. Department of Theoretical Mechanics, Institute of Applied Mathematics and Mechanics, Peter the Great St. Petersburg Polytechnic University, St. Petersburg, Russia

    Elena Ivanova

Rights and permissions

Reprints and permissions

Copyright information

© 2018 Springer-Verlag GmbH Germany

About this entry

Cite this entry

Babenkov, M.B., Vitokhin, E.Y. (2018). Dispersion Relations for the Coupled Hyperbolic Thermoelasticity. In: Altenbach, H., Öchsner, A. (eds) Encyclopedia of Continuum Mechanics. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-662-53605-6_63-1

Download citation

  • DOI: https://doi.org/10.1007/978-3-662-53605-6_63-1

  • Published:

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-662-53605-6

  • Online ISBN: 978-3-662-53605-6

  • eBook Packages: Springer Reference EngineeringReference Module Computer Science and Engineering

Publish with us

Policies and ethics

Search

Navigation