Errata: Exact Analysis of the Plane‐Strain Vibrations of Thick‐Walled Hollow Cylinders [J. Acoust. Soc. Am. 30, 786 (1958)]

1959 ◽  
Vol 31 (2) ◽  
pp. 250-250
Author(s):  
Denos C. Gazis
Keyword(s):  
Plane Strain ◽  
Exact Analysis ◽  
Hollow Cylinders

The Single Slice Method for Measurement of Axisymmetric Residual Stresses in Solid Rods or Hollow Cylinders in the Region of Plane Strain

1998 ◽  
Vol 120 (2) ◽  
pp. 170-176 ◽  
Author(s):  
Weili Cheng ◽  
lain Finnie
Keyword(s):  
Residual Stresses ◽  
Plane Strain ◽  
Experimental Approach ◽  
Axial Stress ◽  
Strain Gages ◽  
Experimental Procedure ◽  
Thin Slice ◽  
Hollow Cylinders ◽  
Slice Method ◽  
Hoop Stresses

A new method is presented for the measurement of axisymmetric residual stresses in a solid rod or hollow cylinder in the region which is in a state of plane strain. The experimental procedure involves, first, making a complete transverse cut, normal to the axis of the part in the region which is initially in plane strain. Next, a number of strain gages are mounted on one of the faces produced by the first cut. A second transverse cut, parallel to the first, is then made to remove a thin slice containing the strain gages. It is shown that the change in strain gage readings due to removal of the slice may be used to deduce the axial stress in plane strain at the location of the first cut. The hoop stresses in the thin slice, which is in a state of plane stress, are readily obtained from the “crack compliance” procedure which we have described in earlier work. From this information and the initial axial stress in plane strain it is shown that the initial hoop and radial stresses in plane strain may be determined. The method is validated by obtaining the stresses in a water quenched rod which are shown to be in excellent agreement with those measured using a different experimental approach. Since the method does not require the measurement to be carried out on the original rod or cylinder, it allows the original residual stresses to be measured from a fractured shaft by making a slice near the plane of the fracture if the fracture is dominated by elastic deformation.

Exact plane strain vibrations of composite hollow cylinders - Comparison with approximate theories.

AIAA Journal ◽  
1966 ◽  
Vol 4 (1) ◽  
pp. 179-181 ◽  
Author(s):  
T. KARLSSON ◽  
R. E. BALL
Keyword(s):  
Plane Strain ◽  
Hollow Cylinders

Generalized Plane Strain Study of Rotational Autofrettage of Thick-Walled Cylinders—Part I: Theoretical Analysis

2019 ◽  
Vol 141 (5) ◽  
Author(s):  
S. M. Kamal ◽  
M. Perl ◽  
D. Bharali
Keyword(s):  
Plastic Deformation ◽  
Angular Velocity ◽  
Plane Strain ◽  
Numerical Evaluation ◽  
Design Procedure ◽  
New Methods ◽  
Hollow Cylinders ◽  
Generalized Plane Strain ◽  
Walled Cylinder ◽  
Plane Strain Assumption

In recent years, a few new methods of achieving autofrettage in thick-walled hollow cylinders have been developed. Rotational autofrettage is one of the new methods proposed recently for prestressing thick-walled cylinders. The principle of rotational autofrettage is based on inducing plastic deformation in the cylinder at the inner side and at its neighborhood by rotating the cylinder about its own axis at a certain angular velocity and subsequently bringing down it to zero angular velocity. However, the analysis of the process is still in its nascent stage. In order to establish the rotational autofrettage as a potential design procedure for prestressing thick-walled cylinders, accurate modeling of the process is necessary. In this paper, the rotational autofrettage for thick-walled cylinders is analyzed theoretically based on the generalized plane strain assumption. The closed form analytical solutions of the elasto-plastic stresses and strains and the residual stresses after unloading during the rotational autofrettage of a thick-walled cylinder are obtained. In Part II of the paper, the numerical evaluation of the theoretical model will be presented in order to assess its feasibility.

The Evaluation of the Stress Intensity Factors for Cracks Subjected to Tension, Torsion, and Flexure by an Efficient Numerical Technique

1972 ◽  
Vol 94 (2) ◽  
pp. 387-393 ◽  
Author(s):  
A. F. Emery ◽  
C. M. Segedin
Keyword(s):  
Stress Intensity ◽  
Plane Strain ◽  
Stress Intensity Factors ◽  
Numerical Technique ◽  
Efficient Computation ◽  
Intensity Factors ◽  
Hollow Cylinders ◽  
High Degree

A numerical technique for the efficient computation of singular states of stress is developed and applied to several plane strain elastic problems. The method which extracts the effect of the singularity from the field permits the use of relatively coarse nodal meshes with rapid solution times but maintains a high degree of accuracy. Using this technique, stress intensity factors are calculated for the torsion and flexure of solid and hollow cylinders and the internal pressurization of cylinders of varying thicknesses.

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.

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