Jump to ContentJump to Main Navigation
Thermoelasticity with Finite Wave Speeds$
Users without a subscription are not able to see the full content.

Józef Ignaczak and Martin Ostoja-Starzewski

Print publication date: 2009

Print ISBN-13: 9780199541645

Published to Oxford Scholarship Online: February 2010

DOI: 10.1093/acprof:oso/9780199541645.001.0001

Show Summary Details
Page of

PRINTED FROM OXFORD SCHOLARSHIP ONLINE (www.oxfordscholarship.com). (c) Copyright Oxford University Press, 2018. All Rights Reserved. Under the terms of the licence agreement, an individual user may print out a PDF of a single chapter of a monograph in OSO for personal use (for details see www.oxfordscholarship.com/page/privacy-policy).date: 18 October 2018

Physical Aspects and Applications of Hyperbolic Thermoelasticity

Physical Aspects and Applications of Hyperbolic Thermoelasticity

(p.321) 12 Physical Aspects and Applications of Hyperbolic Thermoelasticity
Thermoelasticity with Finite Wave Speeds

Józef Ignaczak

Martin Ostoja‐Starzewski

Oxford University Press

This chapter first provides a brief review of several other theories, all classified as generalized thermoelasticity and due to Green and Naghdi. Next follows a justification of the presence of a material time derivative rather than a partial time derivative in the Maxwell‐Cattaneo equation. Another way to see this is to take the continuum thermodynamics as a starting point for the derivation of constitutive laws. However, the partial time derivative may be employed in a theory focused on solid mechanics in infinitesimal strains. In the sequel, some applications of the L‐S and G‐L theories are given: helices and chiral media, both with homogeneous as well as composite structures; surface waves; and thermoelastic damping in nanomechanical resonators. The chapter culminates with a thermoelasticity with anomalous heat conduction treated via fractional calculus, and a formulation of thermoelasticity of fractal media in the vein of dimensional regularization.

Keywords:   generalized thermoelasticity, Maxwell‐Cattaneo equation, continuum thermodynamics, helix, chiral media, surface waves, thermoelastic damping, resonators, fractional calculus, anomalous heat conduction, fractal media

Oxford Scholarship Online requires a subscription or purchase to access the full text of books within the service. Public users can however freely search the site and view the abstracts and keywords for each book and chapter.

Please, subscribe or login to access full text content.

If you think you should have access to this title, please contact your librarian.

To troubleshoot, please check our FAQs , and if you can't find the answer there, please contact us .