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A New Analytical Approach to Reconstruct Residual Stresses Due to Turning Process

Authors: G.H. Farrahi, S.A. Faghidian, D.J. Smith


A thin layer on the component surface can be found with high tensile residual stresses, due to turning operations, which can dangerously affect the fatigue performance of the component. In this paper an analytical approach is presented to reconstruct the residual stress field from a limited incomplete set of measurements. Airy stress function is used as the primary unknown to directly solve the equilibrium equations and satisfying the boundary conditions. In this new method there exists the flexibility to impose the physical conditions that govern the behavior of residual stress to achieve a meaningful complete stress field. The analysis is also coupled to a least squares approximation and a regularization method to provide stability of the inverse problem. The power of this new method is then demonstrated by analyzing some experimental measurements and achieving a good agreement between the model prediction and the results obtained from residual stress measurement.

Keywords: Residual stress, Limited measurements, Inverse problems, Turning process.

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[1] B. Leis, Effect of Surface Condition and Processing on Fatigue Performance. ASM Handbook, vol. 19, Fatigue and Fracture, 1996, pp. 314-320.
[2] E. K. Henriksen, "Residual stresses in machined surfaces," ASME Trans., 73, pp. 265-278, Jan. 1951.
[3] R. M'Saoubi, J. C. Outeiro, B. Changeux, J. L. Lebrun, and A. Morao Dias, "Residual stress analysis in orthogonal machining of standard and resulfurized AISI 316L steels," Journal of Materials Processing Technology, vol. 96, pp. 225-233, 1999.
[4] M. Salio, T. Berruti, and G. De Poli, "Prediction of residual stress distribution after turning in turbine disks," International Journal of Mechanical Sciences, vol. 48, pp. 976-984, 2006.
[5] X. Yang, and C. R. Liu, "A new stress-based model of friction behavior in machining and its significant impact on residual stresses computed by finite element method," International Journal of Mechanics Sciences, vol. 44, pp. 703-23, 2002.
[6] M. R. Movahhedy, Y. Altintas, and M. S. Gadala, "Numerical analysis of metal cutting with chamfered and blunt tools," ASME Journal of Manufacturing Science and Engineering, vol. 124, pp. 178-88, 2002.
[7] F. Valiorgue, J. Rech, H. Hamdi, P. Gilles, and J. M. Bergheau, "A new approach for the modeling of residual stresses induced by turning of 316L," Journal of Materials Processing Technology, vol. 191, pp. 270- 273, 2007.
[8] M. Barge, H. Hamdi, J. Rech, and J. M. Bergheau, "Numerical modeling of orthogonal cutting: influence of numerical parameters," Journal of Materials Processing Technology, vol. 164-165, pp. 1148-1153, 2005.
[9] D. J. Smith, G. H. Farrahi, W. X. Zhu, and C. A. McMahon, "Obtaining multiaxial residual stress distributions from limited measurements," Materials Science and Engineering A, vol. 303, pp. 281-291, 2001.
[10] A. M. Korsunsky, "Eigenstrain analysis of residual strains and stresses," Journal of Strain Analysis, vol. 44, pp. 29-43, 2009.
[11] X. Qian, Z. Yao, Y. Cao, and J. Lu, "An inverse approach to construct residual stresses existing in axisymmetric structures using BEM," Journal of Engineering Analysis with Boundary Elements, vol. 29, pp. 986-999, 2005.
[12] A. Hoger, "On the determination of residual stress in an elastic body," Journal of Elasticity, vol. 16, pp. 303-324, 1986.
[13] G. H. Farrahi, S. A. Faghidian, and D. J. Smith, "Reconstruction of Residual Stresses in Autofrettaged Thick-Walled Tubes from Limited Measurements," International Journal of Pressure Vessel and Piping, article in press.
[14] M. E. Gurtin, The Linear Theory of Elasticity. Handbuch der Physik VIa/2, Springer-Verlag, 1972.
[15] J. C. Goswami, and A. K. Chan, Fundamentals of Wavelet; Theory, Algorithm and Applications. John Wiley & Sons Inc, 1999.
[16] C. W. Groetsch, Inverse Problems in the Mathematical Sciences. Braunschweig: Vieweg-Verlag, 1993.