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Abstract Mandel's problem considers the time-dependent, quasi-static deformation of a rectangular, laterally pervious specimen of poroelastic material after confinement from the top and bottom. Biot's theory of poroelastodynamics is used… Click to show full abstract
Abstract Mandel's problem considers the time-dependent, quasi-static deformation of a rectangular, laterally pervious specimen of poroelastic material after confinement from the top and bottom. Biot's theory of poroelastodynamics is used to extend the analytical solution to this problem by accounting for the inertial body forces when the specimen is subjected to harmonic excitation. The poroelastodynamic solution entails and generalizes the well-known Mandel-Cryer effect of coupled poroelasticity in frequency domain.
Journal Title: Journal of Sound and Vibration
Year Published: 2021
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