caa a22 4500 606189602 CHVBK 20210128100851.0 cr unu---uuuuu 210128e20150301xx s 000 0 eng 10.1007/s10891-015-1205-7 doi (NATIONALLICENCE)springer-10.1007/s10891-015-1205-7 Determination of the Dynamic Stresses in an Infinite Plate on the Basis of an Exact Analytical Solution of the Hyperbolic Heat-Conduction Equation for It [Elektronische Daten] [I. Kudinov, V. Kudinov] With the use of an exact analytical solution of the classical hyperbolic heat-conduction equation, derived on the basis of the Maxwell-Cattaneo-Luikov relaxation formula, an exact analytical solution of the problem on the dynamic thermoelasticity of an infinite plate was obtained for the case where the outer surfaces of this plate are free of mechanical loads. It is shown that the undamped thermoelastic stresses in this plate vary spasmodically in time with periodic change in their sign. The stress jumps arising near the opposite outer surfaces of the indicated plate move along the spatial variable to its center where they superimpose, with the result that the dynamic thermal stresses in the plate double. Springer Science+Business Media New York, 2015 dynamic thermoelasticity nationallicence hyperbolic heat-conduction equation nationallicence stress jump nationallicence undamped thermoelastic stress waves nationallicence relaxation coefficient nationallicence Kudinov I. Samara State Technical University, 244 Molodogvardeiskaya Str., 443100, Samara, Russia aut Kudinov V. Samara State Technical University, 244 Molodogvardeiskaya Str., 443100, Samara, Russia aut Journal of Engineering Physics and Thermophysics Springer US; http://www.springer-ny.com 88/2(2015-03-01), 398-405 1062-0125 88:2<398 2015 88 10891 https://doi.org/10.1007/s10891-015-1205-7 text/html Onlinezugriff via DOI BK010053 XK010053 XK010000 Metadata rights reserved Springer special CC-BY-NC licence nationallicence 1 research-article jats NATIONALLICENCE NATIONALLICENCE NL-springer NATIONALLICENCE 856 40 https://doi.org/10.1007/s10891-015-1205-7 text/html Onlinezugriff via DOI NATIONALLICENCE 700 1- Kudinov I. Samara State Technical University, 244 Molodogvardeiskaya Str., 443100, Samara, Russia aut NATIONALLICENCE 700 1- Kudinov V. Samara State Technical University, 244 Molodogvardeiskaya Str., 443100, Samara, Russia aut NATIONALLICENCE 773 0- Journal of Engineering Physics and Thermophysics Springer US; http://www.springer-ny.com 88/2(2015-03-01), 398-405 1062-0125 88:2<398 2015 88 10891