Dynamic interaction of a poroelastic layer and a half-space

Tajuddin, M.; Ahmed, Syed Iqbal

doi:10.1121/1.400531

Cited by 16 publications

(7 citation statements)

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“…Flexural vibrations of poroelastic circular cylindrical shells immersed in an acoustic medium are studied (Shah and Tajuddin, 2010). There is much focus on wave propagation in poroelastic cylinders and poroelastic half spaces (Tajuddin and Ahmed, 1991;Reddy Perati and Tajuddin, 2000;Tajuddin, 2000, 2010;Shah and Tajuddin, 2010;Nageswara et al, 2011;Rajitha et al, 2012) in the framework of Biot's theory (Biot, 1956). However, the above listed publications do not contain investigation of flexural vibrations of poroelastic solids in the presence of static stresses.…”

Section: Introductionmentioning

confidence: 99%

Flexural vibrations of poroelastic solids in the presence of static stresses

Gurijala

Aleti

Perati

2013

Journal of Vibration and Control

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Employing Biot’s theory of poroelasticity, three-dimensional vibrations in a poroelastic solid that is subjected to static stresses is investigated. By considering second-order coupling between stress and strain, pertinent governing equations are derived. A frequency equation is obtained in the case of static uniaxial stress or strain. Phase velocity against static uniaxial stress is computed in the case of two poroelastic solids and results are presented graphically.

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Section: Introductionmentioning

confidence: 99%

Flexural vibrations of poroelastic solids in the presence of static stresses

Gurijala

Aleti

Perati

2013

Journal of Vibration and Control

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“…Flexural vibrations of rectangular thin plates with free boundary conditions are studied by Shuyu (2001). Employing Biot's (1956) theory, Tajuddin and Ahmed (1991) studied the dynamic interaction of a poroelastic layer and half-space. Malla Reddy and Tajuddin (2003) solved the problem of edge waves in poroelastic plate under plane stress conditions.…”

Section: Introductionmentioning

confidence: 99%

Three dimensional vibration analysis of an infinite poroelastic plate immersed in an inviscid elastic fluid

Shah¹,

Tajuddin²

2011

Int. J. Eng. Sci. Tech

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Three dimensional wave propagation in poroelastic plate immersed in an inviscid elastic fluid is studied employing Biot's theory. Frequency equations are derived for pervious and impervious surfaces. Frequency equation each for a pervious and impervious surface is obtained for poroelastic plate in contact with an inviscid elastic fluid and poroelastic plate in vacuum as a particular case and also when the wavenumbers vanish. Phase velocity as a function of propagation constant is computed for pervious and impervious surfaces in each case, i.e., poroelastic plate immersed in an acoustic medium, poroelastic plate in contact with an inviscid elastic fluid and poroelastic plate in vacuum in absence of dissipation. It is observed that the phase velocity of pervious and impervious surfaces is same for water saturated sandstone while it is not for kerosene saturated sandstone in each of these three cases. Results of previous investigations are obtained as a particular case of the present study.

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“…Tajuddin and Ahmed (1990) studied Stoneley waves in poroelastic solids. Interaction of a poroelastic layer and half-space is examined by Tajuddin and Ahmed (1991). Malla Reddy and Tajuddin (2003) solved the problem of edge waves in a poroelastic plate under plane stress conditions.…”

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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Dynamic interaction of a poroelastic layer and a half-space

Cited by 16 publications

References 0 publications

Flexural vibrations of poroelastic solids in the presence of static stresses

Flexural vibrations of poroelastic solids in the presence of static stresses

Three dimensional vibration analysis of an infinite poroelastic plate immersed in an inviscid elastic fluid

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

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