A Higher-Order Continuum Model for Elastic Media with Multiphased Microstructure

2008 ◽  
Vol 15 (8) ◽  
pp. 550-557 ◽  
Author(s):  
G. L. Huang ◽  
C. T. Sun
Keyword(s):  
Continuum Model ◽  
Higher Order ◽  
Elastic Media

Surface waves in homogenous visco-elastic media of higher order under the influence of surface stresses

2013 ◽  
Vol 22 (5-6) ◽  
pp. 185-191 ◽  
Author(s):  
Munish Sethi ◽  
K.C. Gupta ◽  
Monika Rani ◽  
A. Vasudeva
Keyword(s):  
Surface Waves ◽  
Solid Medium ◽  
Elastic Solid ◽  
Higher Order ◽  
Love Waves ◽  
Elastic Media ◽  
Time Rate ◽  
Surface Stresses ◽  
Rayleigh And Love Waves

AbstractThe aim of the present paper is to investigate the surface waves in a homogeneous, isotropic, visco-elastic solid medium of nth order, including time rate of strain under the influence of surface stresses. The theory of generalized surface waves is developed to investigate particular cases of waves such as the Stoneley, Rayleigh, and Love waves. Corresponding equations have been obtained for different cases. These are reduced to classical results, when the effects of surface stresses and viscosity are ignored.

Multiphase Flows Through Poro-Elastic Media: A Continuum Model

2002 ◽  
Author(s):  
Goodarz Ahmadi ◽  
Ali Reza Mazaheri ◽  
Duane H. Smith
Keyword(s):  
Continuum Model ◽  
Fluid Flows ◽  
Second Law Of Thermodynamics ◽  
Present Theory ◽  
Elastic Media ◽  
Balance Laws ◽  
Multiphase Mixture ◽  
Multiphase Fluid ◽  
Liquid Flows ◽  
Special Case

Based on the basic balance laws and the second law of thermodynamics, a model for multiphase fluid flows through poro-elastic media is presented. The basic conservation laws. Including the balance of phasic equilibrated forces are are described. Based on the thermodynamics of the multiphase mixture, appropriate constitutive equations are formulated. It is shown that the present theory leads to the extension of Darcy’s law and contains, as its special case, Biot’s (1957) theory of saturated poro-elastic media. The special case of gas-liquid flows in porous media is discussed.

scholarly journals Surface waves in higher order visco-elastic media under the influence of gravity

1991 ◽  
Vol 4 (1) ◽  
pp. 71-82 ◽  
Author(s):  
Animesh Mukherjee ◽  
P. R. Sengupta ◽  
Lokenath Debnath
Keyword(s):  
Surface Waves ◽  
Wave Velocity ◽  
Rayleigh Waves ◽  
Higher Order ◽  
Love Waves ◽  
Initial Stresses ◽  
Elastic Media ◽  
Perfect Agreement ◽  
Gravitational Effects ◽  
Gravity Effects

Based upon Biot's [1965] theory of initial stresses of hydrostatic nature produced by the effect of gravity, a study is made of surface waves in higher order visco-elastic media under the influence of gravity. The equation for the wave velocity of Stonely waves in the presence of viscous and gravitational effects is obtained. This is followed by particular cases of surface waves including Rayleigh waves and Love waves in the presence of viscous and gravity effects. In all cases the wave-velocity equations are found to be in perfect agreement with the corresponding classical results when the effects of gravity and viscosity are neglected.

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