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.

Determination of Residual Stress Distribution in Autofrettaged Tube Based on Modified Yielding Criterion and Tensile-Compressive Curve of Material

2005 ◽  
Vol 490-491 ◽  
pp. 91-96 ◽  
Author(s):  
Xiao Ping Huang ◽  
Weicheng Cui
Keyword(s):  
Residual Stress ◽  
Stress Distribution ◽  
Strain Hardening ◽  
Yield Criterion ◽  
Residual Stress Distribution ◽  
Stress Distributions ◽  
Analytic Expressions ◽  
Materials Used ◽  
Strain Hardening Behavior ◽  
Relationship Of

An autofrettage model considering the material strain-hardening behavior and the Bauschinger effect, based on the actual tensile–compressive curve of material and modified yield criterion, has been proposed. The analytic expressions of residual stress distribution and the autofrettage pressure have been obtained. This model has stronger curve fitting ability, nearly all of the strain-stress curves of materials used in making autoefrettage tubes can be fitted well by this model, and each of those models based on the simplified strain hardening relationship of material is a special case of the model. It was used to predict the residual stress distributions of an autofrettaged tube. The results show that the residual stress distributions predicted by the present model are in good agreement with the experimental data.

scholarly journals Residual Stress Distribution in Feal Weld Overlay on Steel

1994 ◽  
Vol 364 ◽  
Author(s):  
X.-L. Wang ◽  
S. Spooner ◽  
C. R. Hubbard ◽  
P. J. Maziasz ◽  
G. M. Goodwin ◽  
...  
Keyword(s):  
Experimental Data ◽  
Heat Treatment ◽  
Residual Stress ◽  
Finite Element Analysis ◽  
Finite Element ◽  
Stress Distribution ◽  
Post Weld Heat Treatment ◽  
Residual Stress Distribution ◽  
Element Analysis ◽  
Weld Overlay

AbstractNeutron diffraction was used to measure the residual stress distribution in an FeAl weld overlay on steel. It was found that the residual stresses accumulated during welding were essentially removed by the post-weld heat treatment that was applied to the specimen; most residual stresses in the specimen developed during cooling following the post-weld heat treatment. The experimental data were compared with a plasto-elastic finite element analysis. While some disagreement exists in absolute strain values, there is satisfactory agreement in strain spatial distribution between the experimental data and the finite element analysis.

Residual Stress in an Autofrettaged Tube Taking Bauschinger Effect as a Function of the Prior Plastic Strain

2009 ◽  
Vol 131 (2) ◽  
Author(s):  
Xiaoping Huang ◽  
Torgeir Moan
Keyword(s):  
Residual Stress ◽  
Stress Distribution ◽  
Analytical Solution ◽  
Plastic Strain ◽  
Young’S Modulus ◽  
Bauschinger Effect ◽  
Young's Modulus ◽  
Residual Stress Distribution ◽  
Present Solution ◽  
Stress Dependent

Autofrettage is a practical method for increasing the elastic carrying capacity and the fatigue life of thick-walled cylinders such as cannon and high-pressure tubular reactor. Many analytical and numerical solutions for determining the residual stress distribution in an autofrettaged tube have been reported. It is still difficult to model the Bauchinger effect, which is dependent on the prior plasticity in an analytical solution. The reduced Young’s modulus during unloading affects residual stress distribution. However, until now this effect has not been considered in any analytical model. In this paper, an autofrettage analytical solution considering Young’s modulus and the reverse yield stress dependent on the prior plasticity, based on the actual tensile-compressive curve of the material and the von Mises yield criterion, has been proposed. New model incorporates the Bauschinger effect factor and the unloading modulus variation as a function of prior plastic strain, and hence of the radius. Thereafter it assumes a fixed nonlinear unloading profile. The comparison of predicted residual stress distribution by the present solution with that of fixed unloading curve model, and test results shows that the present solution gives accurate prediction of residual stress distribution of an autofrettaged tube. This analytical procedure for the cylinder permits an excellent representation of various pressure vessel steels.

Quenching of Aluminum Solid Cylinder: Numerical Study

2019 ◽  
Author(s):  
Shahriar Jahanian
Keyword(s):  
Experimental Data ◽  
Residual Stress ◽  
Temperature Distribution ◽  
Stress Distribution ◽  
Reasonable Agreement ◽  
Numerical Study ◽  
Residual Stress Distribution ◽  
Solid Cylinder ◽  
Temperature Dependent Properties ◽  
Sine Law

A numerical method is presented for evaluating the residual stress distribution in a long aluminum solid cylinder subjected to rapid cooling. An analytical model is developed for the temperature distribution. For the boundary conditions, experimental data for the outer surface of the cylinder are used, and a reasonable agreement between the predicted temperature distribution at the center of the cylinder and the experimental data is observed. For the numerical analysis, a quasi-static, uncoupled thermoelastoplastic analysis, based on a hyperbolic sine law, is presented. The numerical results are presented for the temperature distribution as well as the thermoelastoplastic stress distribution in a solid cylinder with temperature-dependent properties. The residual stress distribution is compared with the results of other investigators who used the Finite Element Method, and a reasonable agreement between our results and previous results is observed. The conclusion is reached that the temperature dependency of the yield stresses and the problem of post-yielding are two important factors to be considered when developing a model for predicting the residual stresses in quenched bodies.

The influence of Bauschinger effect on overstrained spring strip

1976 ◽  
Vol 11 (3) ◽  
pp. 168-176
Author(s):  
W A C Swift
Keyword(s):  
Residual Stress ◽  
Stress Distribution ◽  
Bauschinger Effect ◽  
Residual Stress Distribution ◽  
Experimental Results ◽  
Layer Removal ◽  
Spring Strip ◽  
Removal Technique

A theoretical Bauschinger chart has been constructed, the data being based on experimental results. This chart is used to predict the resisting moment of the strip whilst determining the residual-stress distribution using a layer-removal technique.

Accurate control of residual stress distribution along the complex surface depth at the root of gears

2020 ◽  
Vol 234 (21) ◽  
pp. 4321-4330
Author(s):  
Zhen Wang ◽  
Long Chen ◽  
Zhongming Liu ◽  
Junwei Cheng
Keyword(s):  
Experimental Data ◽  
Residual Stress ◽  
Stress Distribution ◽  
Theoretical Basis ◽  
Residual Stress Distribution ◽  
Tooth Root ◽  
Profile Curve ◽  
Complex Profile ◽  
The Relationship ◽  
Curve Equation

This study aims to solve the accurate control of residual stress distribution along the depth of complex special-shaped surfaces for providing theoretical basis and experimental support for the research of anti-fatigue manufacturing of key components. Considering the complex profile curve of gear root, a scheme is proposed to predefine the complex curve of tooth root using three types of simple curves, namely, single-segment arc, arc-line combination and multisegment arc by analyzing the characteristics of tooth root shape and curve equation on the basis of meshing theory and gear tooth formation. The corresponding relationship between polishing time and depth under different schemes is calculated on the basis of the principle of electrochemistry and Faraday’s law and compared with the experimental data. On the basis of the complex profile curve of 20CrMnMo standard gear root, the relationship between polishing time and depth calculated using the three schemes is basically similar, and the curve equation is a parabola passing through the origin. The polishing time–depth relationship calculated by the predefined tooth root curve with three tangent arcs has the best agreement with the experimental data compared with the single-segment arc and arc-line combination when the layer-stripping depth is less than 400 µm. The fitting of the experimental data of tooth root polishing shows that a good parabola relationship is found between time and depth. The relationship between the polishing time and depth of tooth root can be calculated by using a simple curve to predefine a complex contour curve. Polishing depth is controlled by accurately controlling polishing time to realise accurate control of the distribution state of tooth root residual stress along the depth. The findings of this study provide theoretical basis and experimental support for future studies on the fatigue performance of key components.

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