Strain Hardening in the Yielded Compound Cylinder

1962 ◽  
Vol 84 (2) ◽  
pp. 220-224
Author(s):  
S. J. Becker ◽  
H. Kraus
Keyword(s):  
Plastic Deformation ◽  
Strain Hardening ◽  
Plane Strain ◽  
Yield Condition ◽  
Plastic Range ◽  
Linear Strain ◽  
Compound Cylinder ◽  
Small Strains ◽  
Tresca Yield Condition ◽  
Generalized Plane Strain

The theory of a previous paper which was designed for nonhardening plastic deformation of simple and compound cylinders in axisymmetric generalized plane strain is extended to include linear strain hardening in the plastic range. The method, which is limited to small strains, uses a modified Tresca yield condition and assumes incompressibility for both the plastic and the elastic ranges.

The Yielded Compound Cylinder in Generalized Plane Strain

1961 ◽  
Vol 83 (4) ◽  
pp. 441-448 ◽  
Author(s):  
S. J. Becker
Keyword(s):  
Plane Strain ◽  
Axial Load ◽  
Axial Strain ◽  
Complete Solution ◽  
Yield Condition ◽  
Compound Cylinder ◽  
Elastic Zone ◽  
Tresca Yield Condition ◽  
Internal Pressures ◽  
Generalized Plane Strain

The theory of a previous paper [1], which was designed for plane strain of a compound cylinder, is extended to generalized plane strain, where the axial strain is a constant nonzero value for every radius and depends only on the external and internal pressures and any extraneous axial load. The method is limited to incompressible elastic material and is found to be completely solvable only if an elastic zone exists in each component. The assumed Tresca yield condition is verified in the process of obtaining the complete solution.

Finite Elastic-Plastic Expansion of a Cylindrical Tube

1973 ◽  
Vol 2 (4) ◽  
pp. 216-222
Author(s):  
B. Slevinsky ◽  
J. B. Haddow
Keyword(s):  
Plastic Deformation ◽  
Yield Condition ◽  
Cylindrical Tube ◽  
Flow Rule ◽  
Elastic Plastic ◽  
Tresca Yield Condition ◽  
End Conditions ◽  
Cylindrical Tubes ◽  
Limiting Case ◽  
Plastic Flow Rule

A numerical method for the analysis of the isothermal elastic-plastic expansion, by internal pressure, of cylindrical tubes with various end conditions is presented. The Tresca yield condition and associated plastic flow rule are assumed and both non-hardening and work-hardening tubes are considered with account being taken of finite plastic deformation. Tubes which undergo further plastic deformation on unloading are also considered. Expansion of a cylindrical cavity from zero radius in an infinite medium is considered as a limiting case.

An Analysis of the Yielded Compound Cylinder

1961 ◽  
Vol 83 (1) ◽  
pp. 43-47 ◽  
Author(s):  
S. J. Becker
Keyword(s):  
Plane Strain ◽  
Elastic Material ◽  
Plastic Range ◽  
Compound Cylinder ◽  
Concentric Cylinders

An analysis is made of the partially plastic range, restricted to plane strain, of the compound cylinder, made by shrinking together many concentric cylinders. An example is given using, for ease of illustration, a cylinder designed to yield simultaneously in all its components. A comparison is made between a structure with a compressible elastic material and one with an incompressible elastic material. Finally, an important auto-frettage formula, Equation (10), is developed.

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.

Stress Intensity Factors for Radial Cracks in a Pre-Stressed, Thick-Walled Cylinder of Strain-Hardening Materials

1983 ◽  
Vol 105 (2) ◽  
pp. 117-123 ◽  
Author(s):  
S. L. Pu ◽  
P. C. T. Chen
Keyword(s):  
Stress Intensity ◽  
Strain Hardening ◽  
Yield Condition ◽  
Function Technique ◽  
Maximum Pressure ◽  
Simple Method ◽  
Fatigue And Fracture ◽  
Useful Life ◽  
Radial Cracks ◽  
High Internal Pressure

A simple method which combines the weight function technique and finite element results is used to obtain mode I stress intensity factor solutions for radially cracked cylinders subjected to a high internal pressure. The method is especially effective for cylinders having residual stresses due to a manufacturing pre-stress process to increase the maximum pressure the cylinder can contain and to improve the cylinder’s useful life against fatigue and fracture. The method is quite general for various assumptions involving the plastic stress-strain relations, the yield condition, the strain-hardening, and the compressibility of the cylinder material.

Research of stamping of unequal channel bars. Part 4. Deformed state of the workpiece when extruding channels. 2. Deformations under the punch end

2021 ◽  
pp. 53-57
Author(s):  
A.L. Vorontsov
Keyword(s):  
Plastic Deformation ◽  
Plane Strain ◽  
Deformation Zone ◽  
Plastic Deformation Zone ◽  
Die Forging ◽  
Deformed State

Determination of the deformed state of the workpiece at free extrusion of channels is considered. Formulas are obtained for determining the accumulated deformations at a given point of the plastic deformation zone and extruded walls of the product for any punch working stroke. Keywords: die forging, extrusion, misalignment, punch, matrix, plane strain, accumulated deformations, hardening. [email protected]

The Effect of Plastic Deformation on the Thermoelastic Constant and the Potential to Evaluate Residual Stress

2011 ◽  
Vol 70 ◽  
pp. 458-463 ◽  
Author(s):  
A. F. Robinson ◽  
Janice M. Dulieu-Barton ◽  
S. Quinn ◽  
R. L. Burguete
Keyword(s):  
Residual Stress ◽  
Plastic Deformation ◽  
Plastic Strain ◽  
Strain Hardening ◽  
Thermoelastic Stress ◽  
Paint Coating ◽  
Full Field ◽  
Thermoelastic Constant ◽  
Thermoelastic Response ◽  
Measured Change

In some metals it has been shown that the introduction of plastic deformation or strain modifies the thermoelastic constant, K. If it was possible to define the magnitude of the change in thermoelastic constant over a range of plastic strain, then the plastic strain that a material has experienced could be established based on a measured change in the thermoelastic constant. This variation of the thermoelastic constant and the ability to estimate the plastic strain that has been experienced, has potential to form the basis of a novel non-destructive, non-contact, full-field technique for residual stress assessment using thermoelastic stress analysis (TSA). Recent research has suggested that the change in thermoelastic constant is related to the material dislocation that occurs during strain hardening, and thus the change in K for a material that does not strain harden would be significantly less than for a material that does. In the work described in this paper, the change in thermoelastic constant for three materials (316L stainless steel, AA2024 and AA7085) with different strain hardening characteristics is investigated. As the change in thermoelastic response due to plastic strain is small, and metallic specimens require a paint coating for TSA, the effects of the paint coating and other test factors on the thermoelastic response have been considered.

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