scholarly journals Vibrations in a Fluid-Loaded Poroelastic Hollow Cylinder Surrounded by a Fluid in Plane-Strain Form

2013 ◽  
Vol 18 (1) ◽  
pp. 189-216 ◽  
Author(s):  
B. Shanker ◽  
C.N. Nath ◽  
S.A. Shah ◽  
P.M. Reddy
Keyword(s):  
Wave Propagation ◽  
Plane Strain ◽  
Hollow Cylinder ◽  
Impervious Surface ◽  
Frequency Equation ◽  
Solid Cylinder ◽  
Axially Symmetric ◽  
The Core ◽  
Poroelastic Media ◽  
Inner Radius

Plane-strain vibrations in a fluid-loaded poroelastic hollow cylinder surrounded by a fluid are investigated employing Biot’s theory of wave propagation in poroelastic media. The poroelastic hollow cylinder is homogeneous and isotropic, while the inner and outer fluids are homogeneous, isotropic and inviscid. The frequency equation of the fluid-loaded poroelastic cylinder surrounded by a fluid is obtained along with several particular cases, namely, fluid-loaded poroelastic cylinder, fluid-loaded bore, poroelastic cylinder surrounded by a fluid and poroelastic solid cylinder submerged in a fluid. The frequency equations are obtained for axially symmetric, flexural and anti-symmetric vibrations each for a pervious and an impervious surface. Nondimensional frequency for propagating modes is computed as a function of the ratio of thickness to the inner radius of the core. The results are presented graphically for two types of poroelastic cylinders and then discussed.

Stresses in a Linear Incompressible Viscoelastic Cylinder With Moving Inner Boundary

1963 ◽  
Vol 30 (3) ◽  
pp. 335-341 ◽  
Author(s):  
M. Shinozuka
Keyword(s):  
Internal Pressure ◽  
Numerical Computation ◽  
Plane Strain ◽  
Hollow Cylinder ◽  
Digital Computer ◽  
Elastic Shell ◽  
Viscoelastic Cylinder ◽  
Stress Strain ◽  
Rate Of Increase ◽  
Inner Radius

A method is developed to find the stresses and strains in an incompressible viscoelastic hollow cylinder with moving inner radius contained by an elastic case and subject to internal pressure under the assumption of a state of plane strain. Stresses and strains are computed for a material with deviatoric stress-strain relations characteristic of a standard solid. The numerical computation is carried out with the aid of an IBM digital computer 1620 and is intended to illustrate the effects of the thickness of the cylinder, of the rate of increase of the internal pressure, and of the strength of the reinforcement provided by the elastic shell.

On the determination of the stress-strain curve of clay from the undrained plane-strain expansion of hollow cylinders: a long-forgotten method

1998 ◽  
Vol 35 (2) ◽  
pp. 360-363 ◽  
Author(s):  
V Silvestri
Keyword(s):  
Shear Stress ◽  
Plane Strain ◽  
Hollow Cylinder ◽  
Strain Curve ◽  
Outer Radius ◽  
Triaxial Tests ◽  
Inner Radius ◽  
Stress Curve ◽  
Hollow Cylinders

This paper presents the method to obtain the shear stress curve of clay from the undrained plane-strain expansion of hollow cylinder triaxial tests. No prior knowledge of the constitutive properties of the material is required. The theory also indicates that when the outer radius of the cylinder is very large compared with the inner radius, the equation used to interpret pressuremeter tests in clay is recovered.Key words: hollow cylinder, expansion tests, clays, plane strain, undrained condition, shear stress curve.

scholarly journals Effect of Static Stress on Plane Strain Vibrations in Poroelastic Solid Cylinder

2015 ◽  
Vol 127 ◽  
pp. 727-734
Author(s):  
Rajitha Gurijala ◽  
Malla Reddy Perati
Keyword(s):  
Plane Strain ◽  
Static Stress ◽  
Solid Cylinder

Wave Propagation and Power Flow Analysis of Sandwich Structures With Internal Absorbers

2014 ◽  
Vol 136 (4) ◽  
Author(s):  
J. S. Chen ◽  
R. T. Wang
Keyword(s):  
Wave Propagation ◽  
Power Flow ◽  
Wave Attenuation ◽  
Sandwich Structures ◽  
Flow Analysis ◽  
Flow Characteristics ◽  
Continuum Models ◽  
Sandwich Beams ◽  
The Core ◽  
In Series

This study examines wave attenuation and power flow characteristics of sandwich beams with internal absorbers. Two types of absorbing systems embedded in the core are considered, namely, a conventional spring-mass-dashpot system having a mass with a spring and a dashpot in parallel, and a relaxation system containing an additional relaxation spring added in series with the dashpot. Analytical continuum models used for interpreting the attenuation behavior of sandwich structures are presented. Through the analysis of the power flowing into the structure, the correlation of wave attenuation and energy blockage is revealed. The reduction in the power flow indicates that some amount of energy produced by the external force can be effectively obstructed by internal absorbers. The effects of parameters on peak attenuation, bandwidth, and power flow are also studied.

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