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.

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.

Moisture Stresses in a Long Hollow Wood Pole of Constant Outer and Inner Radius in a State of Plane Strain

1969 ◽  
Vol 36 (3) ◽  
pp. 641-644
Author(s):  
Basudev Ghosh
Keyword(s):  
Circular Cylinder ◽  
Moisture Content ◽  
Plane Strain ◽  
Trigonometric Series ◽  
Digital Computer ◽  
Content Distribution ◽  
Series Form ◽  
Moisture Content Distribution ◽  
Inner Radius ◽  
Infinite Sums

Moisture stresses in a long hollow hygroscopic cylindrically aeolotropic circular cylinder in a state of plane strain are determined mathematically in infinite trigonometric series form. The analysis is then applied to find similar stresses in a long hollow wood pole made up of species walnut for a physically important moisture-content distribution. It is observed that the infinite sums representing the stresses converge and the stresses can be evaluated with the help of a digital computer up to any desired accuracy.

Dynamic Response of a Viscoelastic Cylinder With Ablating Inner Surface

1966 ◽  
Vol 33 (2) ◽  
pp. 275-281 ◽  
Author(s):  
J. D. Achenbach
Keyword(s):  
Dynamic Response ◽  
Internal Pressure ◽  
Hollow Cylinder ◽  
Radial Direction ◽  
Circumferential Stress ◽  
Time Dependent ◽  
Viscoelastic Damping ◽  
Viscoelastic Cylinder ◽  
Vibratory Response ◽  
Inner Surface

The effects of ablation and viscoelasticity on the vibratory response of a hollow cylinder are investigated. The cylinder is subjected to a time-dependent internal pressure. Solutions are presented for the circumferential stress at the eroding inner surface and for the displacement in radial direction. It is found that, due to ablation, frequencies decrease and amplitudes increase. The increases in amplitudes due to ablation are counteracted by viscoelastic damping. In this analysis, it is assumed that the material is incompressible in bulk and viscoelastic in shear.

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.

An estimate of the stress-strain and limiting states of composite tanks under internal pressure

1981 ◽  
Vol 17 (2) ◽  
pp. 180-183
Author(s):  
G. P. Zaitsev ◽  
V. M. Vasilevskii ◽  
A. V. Gollandtsev ◽  
N. I. Kopyl
Keyword(s):  
Internal Pressure ◽  
Stress Strain

On Thick-Walled Cylinder Under Internal Pressure

2003 ◽  
Vol 125 (3) ◽  
pp. 267-273 ◽  
Author(s):  
W. Zhao ◽  
R. Seshadri ◽  
R. N. Dubey
Keyword(s):  
Internal Pressure ◽  
Strain Curve ◽  
Stress Strain ◽  
Piecewise Linearization ◽  
Elastic Plastic ◽  
Plastic Cylinder ◽  
Parametric Functions ◽  
The Difference ◽  
New Formulation ◽  
Walled Cylinder

A technique for elastic-plastic analysis of a thick-walled elastic-plastic cylinder under internal pressure is proposed. It involves two parametric functions and piecewise linearization of the stress-strain curve. A deformation type of relationship is combined with Hooke’s law in such a way that stress-strain law has the same form in all linear segments, but each segment involves different material parameters. Elastic values are used to describe elastic part of deformation during loading and also during unloading. The technique involves the use of deformed geometry to satisfy the boundary and other relevant conditions. The value of strain energy required for deformation is found to depend on whether initial or final geometry is used to satisfy the boundary conditions. In the case of low work-hardening solid, the difference is significant and cannot be ignored. As well, it is shown that the new formulation is appropriate for elastic-plastic fracture calculations.

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