Determination of the Dynamic Stresses in an Infinite Plate on the Basis of an Exact Analytical Solution of the Hyperbolic ... View Full Text


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Article Info

DATE

2015-03

AUTHORS

I. V. Kudinov, V. A. Kudinov

ABSTRACT

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. More... »

PAGES

398-405

References to SciGraph publications

  • 1969-01. The dynamic problems of thermal elasticity in JOURNAL OF ENGINEERING PHYSICS AND THERMOPHYSICS
  • 1971-07. Thermoelastic wave with a finite heat propagation velocity in JOURNAL OF ENGINEERING PHYSICS AND THERMOPHYSICS
  • 1971-07. Dynamic problem of thermoelasticity for a hollow cylinder in JOURNAL OF ENGINEERING PHYSICS AND THERMOPHYSICS
  • Identifiers

    URI

    http://scigraph.springernature.com/pub.10.1007/s10891-015-1205-7

    DOI

    http://dx.doi.org/10.1007/s10891-015-1205-7

    DIMENSIONS

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