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Flexural vibrations of fissured poroelastic plates

Biegeschwingungen geklüfteter poroelastischer Platten

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Summary

The governing equations of flexural vibrations of thin, fluid-saturated, poroelastic plates are derived in detail. The plate material obeys the Aifantis-Beskos theory of poroelasticity with two degrees of porosity, while the plate theory employed is the one due to Kirchhoff. The dynamic response of a rectangular, simply supported, poroelastic plate with two degrees of porosity to harmonic load is obtained analytically-numerically and the effects of porosities and permeabilities on the response are studied. A comparison between the single and double porosity material models is also made. The quasi-static problem is analysed as as special case of the dynamic one.

Übersicht

Es werden die Gleichungen, die die Biegeschwingungen von dünnen, mit Flüssigkeit gefüllten, poroelastischen Platten beschreiben, im einzelnen hergeleitet. Das Materialverhalten der Platte wird durch die Poroelastizitätstheorie von Aifandis und Beskos für Materialien mit doppelter Porosität beschrieben, während für die Platten die Kirchhoffsche Plattentheorie angewandt wird. Man erhält auf analytisch-numerischem Weg das dynamische Verhalten einer rechteckigen, einfach gestützten, poroelastischen Platte mit doppelter Porosität bezüglich einer harmonischen Belastung. Der Einfluß der Porosität und Permeabilität auf das dynamische Verhalten wird untersucht. Weiterhin werden die Modelle für Materialien mit einfacher und doppelter Porosität miteinander verglichen. Das quasi-statische Problem wird als Spezialfall des dynamischen Problems analysiert.

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References

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Authors and Affiliations

  1. Department of Civil Engineering, University of Patras, GR-26500, Patras, Greece

    D. D. Theodorakopoulos & D. E. Beskos

Authors
  1. D. D. Theodorakopoulos
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  2. D. E. Beskos
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Theodorakopoulos, D.D., Beskos, D.E. Flexural vibrations of fissured poroelastic plates. Arch. Appl. Mech. 63, 413–423 (1993). https://doi.org/10.1007/BF00805741

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  • DOI: https://doi.org/10.1007/BF00805741

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