Abstract
The derivation of the governing equations of lateral harmonic motion of thin, fluid-saturated poroelastic plates with one and two degrees of porosity is presented. Use is made of Kirchhoff’s plate theory and Biot’s and Aifantis-Beskos’ theories of poroelasticity for the one and two degrees of porosity models, respectively. One degree of porosity models are more suitable for soils, while two degrees of porosity models are more suitable for fissured rocks. The dynamic response of a rectangular, simply supported, poroelastic plate to uniform lateral load harmonically varying with time is determined analytically-numerically for both one and two degrees of porosity models. The effects of porosities and permeabilities on the plate response are studied and a comparison between the results of the two material models is made. The quasi-static problem is analysed as a special case of the dynamic one and an assessment of the inertial effect is made.
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© 1996 Springer Science+Business Media Dordrecht
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Theodorakopoulos, D.D., Beskos, D.E. (1996). Harmonic dynamics of poroelastic plates with one or two degrees of porosity. In: Selvadurai, A.P.S. (eds) Mechanics of Poroelastic Media. Solid Mechanics and Its Applications, vol 35. Springer, Dordrecht. https://doi.org/10.1007/978-94-015-8698-6_19
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DOI: https://doi.org/10.1007/978-94-015-8698-6_19
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