Notch tip stress distribution in strain hardening materials

1978 ◽  
Vol 14 (5) ◽  
pp. 501-508 ◽  
Author(s):  
R. C. Bates ◽  
A. T. Santhanam
Keyword(s):  
Stress Distribution ◽  
Strain Hardening ◽  
Notch Tip

Studies on Plastic Flow of Anisotropic Metals

1956 ◽  
Vol 23 (3) ◽  
pp. 444-450
Author(s):  
L. W. Hu
Keyword(s):  
Stress Distribution ◽  
Internal Pressure ◽  
Strain Hardening ◽  
Plane Strain ◽  
Plastic Flow ◽  
Plane Stress ◽  
Biaxial Tension ◽  
Plastic Behavior ◽  
Theory Of Plastic Flow ◽  
Walled Cylinder

Abstract This investigation deals with a study of the plastic behavior of anisotropic metals. By extending Hill’s theory of plastic flow of anisotropic metals, plastic stress-strain relations for anisotropic materials with strain hardening are developed. Applications of these relations are also made to plane-stress and plane-strain problems with anisotropy. The effect of anisotropy on the stress distribution and on the pressure to produce yielding in a thick-walled cylinder under internal pressure is discussed. The influence of anisotropy on the interpretation of conventional biaxial tension-tension and tension-torsion tests is also considered in this study.

Plastic Stress Concentration at a Circular Hole in an Infinite Sheet Subjected to Equal Biaxial Tension

1960 ◽  
Vol 27 (1) ◽  
pp. 59-64 ◽  
Author(s):  
Bernard Budiansky ◽  
O. L. Mangasarian
Keyword(s):  
Stress Concentration ◽  
Stress Distribution ◽  
Strain Hardening ◽  
Circular Hole ◽  
Applied Stress ◽  
Stress Concentration Factor ◽  
Concentration Factor ◽  
Deformation Theory ◽  
Biaxial Tension ◽  
Hardening Material

With the use of J2 deformation theory, the stress-concentration factor at a circular hole in an infinite sheet of strain-hardening material subjected to equal biaxial tension at infinity is found for a variety of representative materials. The analysis exploits a transformation which permits the calculation of the stress-concentration factor without determining the stress distribution in the sheet. Subsequent calculations reveal that, for a monotonically increasing applied stress, the stress history at all points in the sheet is nearly radial.

Effect of Bauschinger Effect and Yield Criterion on Residual Stress Distribution of Autofrettaged Tube

2005 ◽  
Vol 128 (2) ◽  
pp. 212-216 ◽  
Author(s):  
X. P Huang ◽  
W. C. Cui
Keyword(s):  
Experimental Data ◽  
Residual Stress ◽  
Stress Distribution ◽  
Strain Hardening ◽  
Bauschinger Effect ◽  
Present Model ◽  
Yield Criterion ◽  
Residual Stress Distribution ◽  
Hardening Model ◽  
End Conditions

Many analytical and numerical solutions for determining the residual stress distribution in autofrettaged tube have been reported. The significance of the choice of yield criterion, the Bauschinger effect, strain hardening, and the end conditions on the predicted residual stress distribution has been discussed by many authors. There are some different autofrettage models based on different simplified material strain-hardening behaviors, such as a linear strain-hardening model, power strain-hardening model, etc. Those models give more accurate predictions than that of elastic–perfectly plastic model, and each of them suits different strain-hardening materials. In this paper, an autofrettage model considering the material strain-hardening relationship and the Bauschinger effect, based on the actual tensile-compressive stress-strain curve of material, plane-strain, and modified yield criterion, has been proposed. The predicted residual stress distributions of autofrettaged tubes from the present model are compared to the numerical results and the experimental data. The predicted residual stresses are in good agreement with the experimental data and numerical predictions. The effect of Bauschinger effect and yield criterion on residual stress is discussed based on the present model. To predict residual stress distribution accurately, it is necessary to properly model yield criterion, Bauschinger effect, and appropriate end conditions.

Evaluation of Stress Distribution in the Symmetrical Neck of Flat Tensile Bars

1951 ◽  
Vol 18 (1) ◽  
pp. 75-84 ◽  
Author(s):  
Julius Aronofsky
Keyword(s):  
Stress Distribution ◽  
Strain Hardening ◽  
Strain Distribution ◽  
Fracture Load ◽  
Local Strains ◽  
Tension Tests ◽  
Good Agreement

Abstract The local strains and the strain distribution in the necks of two flat tensile specimens have been measured. A strain-hardening function for the material was obtained from the results of tension tests on round bars. This strain-hardening function and the measured strains are used to determine the stress distribution in the neck. Good agreement between the calculated and the measured fracture load was obtained.

Stress Distribution and Plastic Deformation in Rotating Cylinders of Strain-Hardening Material

1959 ◽  
Vol 26 (1) ◽  
pp. 25-30
Author(s):  
E. A. Davis ◽  
F. M. Connelly
Keyword(s):  
Plastic Deformation ◽  
Stress Distribution ◽  
Strain Hardening ◽  
Shearing Stress ◽  
Combined Stress ◽  
Rotating Cylinders ◽  
Hardening Material ◽  
Hydrostatic Tension ◽  
Shearing Strain ◽  
Triaxiality Factor

Abstract Equations for the stress distribution in plastic rotating cylinders are developed for both hollow and solid cylinders. It is assumed that the stress-strain relations may depend upon either the maximum shearing stress or the octahedral shearing stress and the corresponding shearing strain. A triaxiality factor proportional to the ratio of the hydrostatic tension to the octahedral shearing stress is introduced. This factor may be useful in evaluating the ductility of metals under combined stress.

Sign in / Sign up

Export Citation Format

Share Document