RUS  ENG JOURNALS   PEOPLE   ORGANISATIONS   CONFERENCES   SEMINARS   VIDEO LIBRARY   PACKAGE AMSBIB
 General information Latest issue Forthcoming papers Archive Impact factor Guidelines for authors Submit a manuscript Search papers Search references RSS Latest issue Current issues Archive issues What is RSS

 TVT: Year: Volume: Issue: Page: Find

 TVT, 2015, Volume 53, Issue 4, Pages 551–555 (Mi tvt6698)

Heat and Mass Transfer and Physical Gasdynamics

Problems of dynamic thermoelasticity on the basis of an analytical solution of the hyperbolic heat conduction equation

I. V. Kudinov, V. A. Kudinov

Samara State Technical University

Abstract: Using the hyperbolic heat conduction equation found from the condition of heat flow relaxation and the temperature gradient in the formula of the Fourier law, an exact analytical solution of the boundary problem of dynamic thermoelasticity for an infinite plate with symmetric boundary conditions of the first kind is obtained. It is shown that stresses change discontinuously in time with a periodic change in their sign at every point of the space. Under a sustained character, the process of changes in stresses occurs in the form of a string fixed at both ends and having kinks (stress jumps) moving along the spatial variable in time.

DOI: https://doi.org/10.7868/S0040364415030102

Full text: PDF file (355 kB)
References: PDF file   HTML file

English version:
High Temperature, 2015, 53:4, 521–525

Bibliographic databases:

UDC: 536.2 (075)
Accepted:23.12.2014

Citation: I. V. Kudinov, V. A. Kudinov, “Problems of dynamic thermoelasticity on the basis of an analytical solution of the hyperbolic heat conduction equation”, TVT, 53:4 (2015), 551–555; High Temperature, 53:4 (2015), 521–525

Citation in format AMSBIB
\Bibitem{KudKud15} \by I.~V.~Kudinov, V.~A.~Kudinov \paper Problems of dynamic thermoelasticity on the basis of an analytical solution of the hyperbolic heat conduction equation \jour TVT \yr 2015 \vol 53 \issue 4 \pages 551--555 \mathnet{http://mi.mathnet.ru/tvt6698} \crossref{https://doi.org/10.7868/S0040364415030102} \elib{http://elibrary.ru/item.asp?id=23908330} \transl \jour High Temperature \yr 2015 \vol 53 \issue 4 \pages 521--525 \crossref{https://doi.org/10.1134/S0018151X15030116} \isi{http://gateway.isiknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=PARTNER_APP&SrcAuth=LinksAMR&DestLinkType=FullRecord&DestApp=ALL_WOS&KeyUT=000360082400011} \elib{http://elibrary.ru/item.asp?id=24942457} \scopus{http://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-84940199366} 

• http://mi.mathnet.ru/eng/tvt6698
• http://mi.mathnet.ru/eng/tvt/v53/i4/p551

 SHARE:

Citing articles on Google Scholar: Russian citations, English citations
Related articles on Google Scholar: Russian articles, English articles

This publication is cited in the following articles:
1. V. F. Formalev, S. A. Kolesnik, “On inverse boundary heat-conduction problems for recovery of heat fluxes to anisotropic bodies with nonlinear heat-transfer characteristics”, High Temperature, 55:4 (2017), 549–554
2. V. A. Kudinov, A. V. Eremin, I. V. Kudinov, A. I. Dovgallo, “Rod resonant oscillations considering material relaxation properties”, Proceedings of the 3rd International Conference on Dynamics and Vibroacoustics of Machines (DVM2016), Procedia Engineering, 176, eds. V. Sverbilov, A. Plummer, Elsevier Science BV, 2017, 226–236
3. V. A. Kudinov, S. O. Nekrasova, A. V. Eremin, I. V. Kudinov, “Gas resonant oscillations considering gas relaxation properties”, Proceedings of the 3rd International Conference on Dynamics and Vibroacoustics of Machines (DVM2016), Procedia Engineering, 176, eds. V. Sverbilov, A. Plummer, Elsevier Science BV, 2017, 237–245
•  Number of views: This page: 140 Full text: 35 References: 38 First page: 4