An improved algorithm for McDowell’s analytical model of residual stress

Abstract

The analytical model for two-dimensional elastoplastic rolling/sliding contact proposed by McDowell is an important tool for predicting residual stress in rolling/sliding processes. In application of the model, a problem of low predicting precision near the surface layer of the component is found. According to the volume-constancy of plastic deformation, an improved algorithm for McDowell’s model is proposed in order to improve its predicting accuracy of the surface residual stress. In the algorithm, a relationship between three normal stresses perpendicular to each other at any point within the component is derived, and the relationship is applied to McDowell’s model. Meanwhile, an unnecessary hypothesis proposed by McDowell can be eliminated to make the model more reasonable. The simulation results show that the surface residual stress predicted by modified method is much closer to the FEM results than the results predicted by McDowell’s model under the same simulation conditions.

Keywords

residual stress / McDowell’s model / volume-constancy of plastic deformation / FEM / elastoplastic rolling/sliding contact

References

[1] McDowellD.L., MoyarG.L, (1991), Wear, (Vol. 144), 19-37

[2] SehitogluH, JiangR Y. An analytical approach for elastoplastic stress analysis of rolling contact, AAR Report no. <day>4</day>, <month>November</month>, 1991

[3] McDowellD.L.,MoyarG J., A more realistic model of nonlinear material respond: application to elastoplastic rolling contact, Proc. 2rid Int. Syrup. On Contact Mechanics and Wear of Rail / Wheel Systems. University of Rhode Island, Kingston, RI, <day>8</day>–<day>11</day>, <month>July</month>, 1986

[4] McDowellD L. An approximate algorithm for elastoplastic two-dimensional rolling/sliding contact. Wear, 1997, 211(2): 237-246

[5] UlutanD, Erdem AlacaB, LazogluI. Analytical modelling of residual stresses in machining. Journal of Materials Processing Technology, 2007, 183(1): 77-87

[6] LazogluaD. Ulutan b,B.E.Alaca,etc. An enhanced analytical model for residual stress prediction in machining. CIRP Annals-Manufacturing Technology, 2008, 57(1): 81-84

[7] LiangS Y, SuJ C. Residual Stress Modeling in Orthogonal Machining, Annals of the CIRP, Vol. 56/1/2007

[8] SuJ C. Residual Stress Modeling in Machining Processes. Georgia Institute of Technology, 2006

[9] AgrawalS, JoshiS S. Analytical modeling of residual stresses in orthogonal machining of AISI4340 steel. Journal of Manufacturing Processes, 2013, 15(1): 167-179

[10] StarovoitoE I. Faig Bakhman Ogli Naghiyev, Foundations of the Theory of Elasticity, Plasticity and Viscoelasticity, Apple Academic Press Inc., 2012

Acknowledgements

The authors acknowledge the 973 National Basic Research Program of China.

RIGHTS & PERMISSIONS

2014 Higher Education Press and Springer-Verlag Berlin Heidelberg