An Analytical Approach to Elastic-Plastic Stress Analysis of Rolling Contact

1994 ◽  
Vol 116 (3) ◽  
pp. 577-587 ◽  
Author(s):  
Yanyao Jiang ◽  
Huseyin Sehitoglu
Keyword(s):  
Residual Stresses ◽  
Stress Analysis ◽  
Analytical Approach ◽  
Kinematic Hardening ◽  
Tangential Force ◽  
Rolling Contact ◽  
Approximate Determination ◽  
Elastic Plastic ◽  
Surface Plasticity ◽  
Plastic Stress

Based on a stress invariant hypothesis and a stress/strain relaxation procedure, an analytical approach is forwarded for approximate determination of residual stresses and strain accumulation in elastic-plastic stress analysis of rolling contact. For line rolling contact problems, the proposed method produces residual stress distributions in favorable agreement with the existing finite element findings. It constitutes a significant improvement over the Merwin-Johnson and the McDowell-Moyar methods established earlier. The proposed approach is employed to study combined rolling and sliding for selected materials, with special attention devoted to 1070 steel behavior. Normal load determines the subsurface residual stresses and the size of the subsurface plastic zone. On the other hand, the influence of tangential force penetrates to a depth of 0.3a, where a is the half width of the contact area, and has diminishing influence on the residual stresses beyond this thin layer. A two-surface plasticity model, commensurate with nonlinear kinematic hardening, is utilized in solution of incremental surface displacements with repeated rolling. It is demonstrated that a driven wheel undergoes greater plastic deformation than the driving wheel, suggesting that the driven wheel experiences enhanced fatigue damage. Furthermore, the calculated residual stresses are compared with the existing experimental data from the literature with exceptional agreements.

Three-Dimensional Elastic-Plastic Stress Analysis of Rolling Contact

2002 ◽  
Vol 124 (4) ◽  
pp. 699-708 ◽  
Author(s):  
Yanyao Jiang ◽  
Biqiang Xu ◽  
Huseyin Sehitoglu
Keyword(s):  
Finite Element ◽  
Residual Stresses ◽  
Stress Analysis ◽  
Tangential Force ◽  
Three Dimensional ◽  
Rolling Contact ◽  
Normal Surface ◽  
Elastic Plastic ◽  
Residual Strains ◽  
Plastic Shakedown

Three-dimensional elastic-plastic rolling contact stress analysis was conducted incorporating elastic and plastic shakedown concepts. The Hertzian distribution was assumed for the normal surface contact load over a circular contact area. The tangential forces in both the rolling and lateral directions were considered and were assumed to be proportional to the Hertzian pressure. The elastic and plastic shakedown limits obtained for the three-dimensional contact problem revealed the role of both longitudinal and lateral shear traction on the shakedown results. An advanced cyclic plasticity model was implemented into a finite element code via the material subroutine. Finite element simulations were conducted to study the influences of the tangential surface forces in the two shear directions on residual stresses and residual strains. For all the cases simulated, the p0/k ratio (p0 is the maximum Hertzian pressure and k is the yield stress in shear) was 6.0. The Qx/P ratio, where Qx is the total tangential force on the contact surface in the rolling direction and P is the total normal surface pressure, ranged from 0 to 0.6. The Qy/P ratio (Qy is the total tangential force in the lateral direction) was either zero or 0.25. Residual stresses increase with increasing rolling passes but tend to stabilize. Residual strains also increase but the increase in residual strain per rolling pass (ratchetting rate) decays with rolling cycles. Residual stress levels can be as high as 2k when the Qx/P ratio is 0.6. Local accumulated shear strains can exceed 20 times the yield strain in shear after six rolling passes under extreme conditions. Comparisons of the two-dimensional and three-dimensional rolling contact results were provided to elucidate the differences in residual stresses and ratchetting strain predictions.

An Analytical Solution for Three-Dimensional Elliptical Elastic-Plastic Rolling Contact

2014 ◽  
Vol 658 ◽  
pp. 207-212
Author(s):  
Gabriel Popescu
Keyword(s):  
Residual Stresses ◽  
Yield Criterion ◽  
Tangential Force ◽  
Rolling Direction ◽  
Three Dimensional ◽  
Rolling Contact ◽  
Material Behavior ◽  
Hertzian Contact ◽  
Plastic Behavior ◽  
Elastic Plastic

An analytical three-dimensional elastic-plastic over-rolling solution is used to evaluate the plastic strains and residual stresses. Central to this plastic contact formulation is the incremental approach to deal with non-linear material behavior. The Prandtl-Reuss constitutive equations in conjunction with Huber-Mises-Hencky yield criterion and Ramberg-Osgood strain-hardening relationships are applied to describe the plastic behavior of common hardened bearing steel. The model was extended to include the tangential force in the rolling direction, assumed to be proportional to the hertzian contact pressure. Comparisons of three-dimensional pure rolling and rolling/sliding contact results were provided to elucidate the differences in residual stresses and residual profiles in case of kinematic and work-hardening materials.

Three-dimensional elastic–plastic stress analysis of wheel–rail rolling contact

Wear ◽  
2011 ◽  
Vol 271 (1-2) ◽  
pp. 426-436 ◽  
Author(s):  
Zefeng Wen ◽  
Lei Wu ◽  
Wei Li ◽  
Xuesong Jin ◽  
Minhao Zhu
Keyword(s):  
Stress Analysis ◽  
Three Dimensional ◽  
Rolling Contact ◽  
Elastic Plastic ◽  
Plastic Stress

Thermal Elastic-Plastic Stress Analysis of Structural Elements With Creep

2005 ◽  
Author(s):  
R. Sarala ◽  
B. Sutharson ◽  
D. Jaya Kanth
Keyword(s):  
Finite Element Analysis ◽  
Finite Element ◽  
Stress Analysis ◽  
Kinematic Hardening ◽  
Transient State ◽  
Structural Elements ◽  
Element Analysis ◽  
Elastic Plastic ◽  
Plastic Analysis ◽  
Plastic Stress

Finite element analysis of thermo-mechanical problems is reported here. From the literature, it may be seen that the thermal-elastic plastic analysis of structural elements has continued to remain a research topic for a couple of decades. No one computationally verified the thermal elastic plastic stress analysis with creep using triangular elements or quadrilateral elements. Finite element analysis code TSAP (Thermal Structural Analysis Programme) was developed in FORTRAN to handle the elastic-plastic stress analysis on two-dimensional planar or three dimensional axisymmetry structures subjected to combined thermal and mechanical loads. In this work, thermo elastic plastic analysis is extended to creep support. A triangular or quadrilateral element has been used to analysis of structures with inclusion of creep. The formulation is based on isotropic or kinematic hardening rule. The validation checks on the program are carried out using results available in the literature. The parameters are considered while analyses are (1.) Type of materials used (2.) Type of elements used (3.) Structure geometry (axisymmetry, plane stress or plane strain) (3.) Type of analysis (steady state or transient state) (4.) Type of loading (5.) Various boundary conditions (conductive or heat flux boundary) (6.) Effect of creep inclusion.

Effect of Non-Steady State Loading on Rolling-Sliding Contact Stress

2010 ◽  
Vol 97-101 ◽  
pp. 1207-1211
Author(s):  
Jun Guo ◽  
Xue Song Jin ◽  
Ze Feng Wen ◽  
Qi Yue Liu
Keyword(s):  
Steady State ◽  
Residual Stresses ◽  
Tangential Force ◽  
Rolling Contact ◽  
Sliding Contact ◽  
Cyclic Plasticity ◽  
Wave Crest ◽  
Elastic Plastic ◽  
Steady State Rolling ◽  
Residual Strains

The stresses, strains, and deformations produced by repeated, two-dimensional non-steady state rolling-sliding contact were analyzed using an elastic-plastic finite element model. An advanced cyclic plasticity model was used. The non-steady state rolling contact was restricted to a harmonic variation of the normal Herztian contact pressure. Repeated rolling and sliding were simulated by multiple translations of a set of varying normal and tangential surface tractions across an elastic-plastic semi-infinite half space. The non-steady state loading considered results in a wavy contact surface profile. The surface displacements and wave depth of the wavy deformation increase with increasing rolling passes, but the increases in wave depth per rolling pass (ratchetting rate) decay. The residual stresses and strains near the wave trough of the residual wavy deformation are higher than those near the wave crest. The results are in agreement with the experimental observations. The tangential force has a greater influence on the residual strains than on the residual stresses.

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