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

doi:10.1007/s11465-014-0295-9

Front. Mech. Eng.

2014, Vol. 9

Issue (2) : 150-155 https://doi.org/10.1007/s11465-014-0295-9

RESEARCH ARTICLE

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

Zhaoxu QI,Bin LI,Liangshan XIONG(

)

Department of Mechanical Engineering, Huazhong University of Science and Technology, Wuhan, 430074, China

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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

Corresponding Author(s): Liangshan XIONG

Issue Date: 22 May 2014

Cite this article:

Zhaoxu QI,Bin LI,Liangshan XIONG. An improved algorithm for McDowell’s analytical model of residual stress[J]. Front. Mech. Eng., 2014, 9(2): 150-155.

URL:

https://academic.hep.com.cn/fme/EN/10.1007/s11465-014-0295-9
https://academic.hep.com.cn/fme/EN/Y2014/V9/I2/150

Fig.1 Coordinate system for McDowell’s rolling/sliding contact model

Tab.1 The main loading conditions for simulations

Fig.2 Comparison of the proposed model predictions for subsurface residual stress components σxx with the results of McDowell’s model and the FEM results of Kumar et al. [10] for bearing steel

Fig.3 Comparison of the proposed model predictions for subsurface residual stress components σxx with the results of McDowell’s model and the FEM results of Bhargava et al. [10] for rail steel

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