Axial-Shear Vibrations of an Infinitely Long Poroelastic Composite Circular Cylinder

Tajuddin, M.; Nath, C. Nageswara; Kumar, J. Manoj

doi:10.1615/specialtopicsrevporousmedia.v2.i2.70

Cited by 6 publications

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“…Tajuddin and Ahmed Shah (2010) discussed longitudinal shear vibrations of hollow poroelastic cylinders. Tajuddin et al (2011) studied axial-shear vibrations of an infinitely long poroelastic composite circular cylinder.…”

Section: Introductionmentioning

confidence: 99%

On the parametric model of loose bonding between poroelastic half-spaces

Nath¹,

Tajuddin

Kumar³

2011

Journal of Vibration and Control

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Wave propagation in a Newtonian viscous liquid layer of thickness ‘ h’ and of shear viscosity ‘ η’ bounded by two poroelastic half-spaces is studied. Possible bonding between the poroelastic half-spaces is discussed by considering the limiting forms of the secular equation, when h→0: (1) η is finite or η→0 such that η/h → ∞, (2) η→0 such that η/h → 0, (3) η → 0 such that η/h is a finite nonzero quantity, for each permeable and impermeable surface. It is shown that these three forms respectively represent welded, smooth and loosely bonded interface of poroelastic half-spaces. The secular equation for the interfacial waves for each of the above three types of bonding for infinite wavelength is derived as a particular case. It is observed that this secular equation is the same for all three types of bonding for each permeable and impermeable surface. Several other special cases are obtained.

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Section: Introductionmentioning

confidence: 99%