, Volume 57, Issue 6, pp 401–412 | Cite as

Thermoelastic waves in a thin plate with mixed boundary conditions and thermal relaxation

  • C. V. Massalas
  • V. K. Kalpakidis


The generalized theory of Lord and Shulman is used to study the characteristics of the wave motion in a thin plate of infinite length under plane stress state. The frequency equations of the plate are discussed for mixed boundary conditions and for isothermal and insulated edges. For the limiting frequency ω → ∞ analytical expressions for the phase velocity v, the attenuation constant S and the specific loss are found and the variation of v and S with the frequency are presented in tables. Finally the paths of particles of the plate are determined and the role of the relaxation parameter is discussed.


Neural Network Attenuation Information Theory Generalize Theory Nonlinear Dynamics 
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Thermoelastische Wellen in einer dünnen Platte mit gemischten Grenzbedingungen und thermischer Relaxation


Unter Anwendung der allgemeinen Theorie von Lord und Shulman werden die Eigenschaften der Wellenbewegung einer dünnen Platte unendlicher Länge im ebenen Spannungszustand untersucht. Ferner werden die Frequenzgleichungen der Platte für gemischte Grenzbedingungen sowie isotherme und isolierte Ecken diskutiert. Für die Grenzfrequenz ω → ∞ werden analytische Ausdrücke für die Phasen-Geschwindigkeit v, die Dämpfungskonstante S und die spezifischen Verluste ermittelt und die Abhängigkeit von v und S von der Frequenz in Tabellen dargestellt. Schließlich werden die Teilchenbewegungen der Platte bestimmt und die Rolle der Relaxationsparameter diskutiert.


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Copyright information

© Springer-Verlag 1987

Authors and Affiliations

  • C. V. Massalas
    • 1
  • V. K. Kalpakidis
    • 1
  1. 1.Dep. of MathematicsUniversity of IoanninaIoanninaGreece

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