Research Papers

Predicting the Peen Forming Effectiveness of Ti-6Al-4V Strips With Different Thicknesses Using Realistic Finite Element Simulations

[+] Author and Article Information
Fan Yang

School of Aerospace Engineering and
Applied Mechanics,
Tongji University,
Shanghai 200092, China
e-mail: fanyang@tongji.edu.cn

Yukui Gao

School of Aerospace Engineering and
Applied Mechanics,
Tongji University,
Shanghai 200092, China

1Corresponding author.

Contributed by the Materials Division of ASME for publication in the JOURNAL OF ENGINEERING MATERIALS AND TECHNOLOGY. Manuscript received June 8, 2015; final manuscript received October 14, 2015; published online November 4, 2015. Assoc. Editor: Vikas Tomar.

J. Eng. Mater. Technol 138(1), 011004 (Nov 04, 2015) (10 pages) Paper No: MATS-15-1130; doi: 10.1115/1.4031830 History: Received June 08, 2015; Revised October 14, 2015

This paper is intended to quantify the relationship between the peen forming effectiveness and various involved parameters through a realistic numerical study. For this purpose, a new finite element (FE) model is proposed with full geometry representation, random shots generation, and rate-dependent material law of kinematic strain-hardening. The mesh sensitivity and effects of boundary conditions are carefully examined. The FE model is validated by comparing the results with the experimental measurements. The proposed model is then used to investigate the effects of the peening intensity (represented as the shot velocity) and the strip thickness on the peen-formed deflection and the residual stress distribution for strips made of Ti-6Al-4V. Our results indicate the existence of a maximum convex deflection for different strip thicknesses. In addition, a reversed deflection (i.e., concaved curvature) is observed for severe peening conditions (i.e., thin strip under high peening intensity). Our simulations verify the previous proposition that a concaved curvature can be generated only when the whole cross section is plastically deformed.

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Huang, X. , Zeng, Y. , and Li, Z. , 2006, “ Finite Element Simulation of Peen Forming Process for the Saddle Shape,” International Technology and Innovation Conference (ITIC 2006), Hangzhou, China, Nov. 6–7, pp. 1240–1242.
Grasty, L. V. , and Andrew, C. , 1996, “ Shot Peen Forming Sheet Metal: Finite Element Prediction of Deformed Shape,” Proc. Inst. Mech. Eng., Part B, 210(4), pp. 361–366. [CrossRef]
Homer, S. E. , and Van Luchene, R. D. , 1991, “ Aircraft Wing Skin Contouring by Shot Peening,” J. Mater. Shaping Technol., 9(2), pp. 89–101. [CrossRef]
Doman, Y. , Fujii, T. , Okubo, K. , and He, H. , 2003, “ Influence of Residual Stress On the Load–Deflection Curve of Diaphragm Springs for Automobile Clutches,” JSAE Rev., 24(2), pp. 197–203. [CrossRef]
Kopp, R. , and Schulz, J. , 2002, “ Flexible Sheet Forming Technology by Double-Sided Simultaneous Shot Peen Forming,” CIRP Ann.-Manuf. Technol., 51(1), pp. 195–198. [CrossRef]
VanLuchene, R. D. , and Cramer, E. J. , 1996, “ Numerical Modeling of a Wing Skin Peen Forming Process,” J. Mater. Eng. Perform., 5(6), pp. 753–760. [CrossRef]
Gariépy, A. A. , Larose, S. B. , Perron, C. B. , and Lévesque, M. A. , 2011, “ Shot Peening and Peen Forming Finite Element Modelling—Towards a Quantitative Method,” Int. J. Solids Struct., 48(20), pp. 2859–2877. [CrossRef]
Meguid, S. A. , Shagal, G. , and Stranart, J. C. , 2002, “ 3D FE Analysis of Peening of Strain-Rate Sensitive Materials Using Multiple Impingement Model,” Int. J. Impact Eng., 27(2), pp. 119–134. [CrossRef]
Almen, J. O. , and Black, P. H. , 1963, Residual Stresses and Fatigue in Metals, McGraw-Hill, Toronto, Canada.
Guagliano, M. , 2001, “ Relating Almen Intensity to Residual Stresses Induced by Shot Peening: A Numerical Approach,” J. Mater. Process. Technol., 110(3), pp. 277–286. [CrossRef]
Bagherifard, S. , Ghelichi, R. , and Guagliano, M. , 2012, “ On the Shot Peening Surface Coverage and Its Assessment by Means of Finite Element Simulation: A Critical Review and Some Original Developments,” Appl. Surf. Sci., 259, pp. 186–194. [CrossRef]
Xia, Q. X. , Chen, Z. C. , Cheng, X. Q. , and Sheng, X. F. , 2013, “ Calculation Method of Shot Peening Coverage Based on Area Computation for Random Finite Element Model,” International Conference on Mechanical and Automation Engineering (MAEE 2013), Jiujang, China, July 21–23, pp. 22–25.
Zimmermann, M. , Klemenz, M. , Schulze, V. , and Loehe, D. , 2009, “ Numerical Studies on the Influence of Thickness on the Residual Stress Development During Shot Peening,” High Performance Computing in Science and Engineering '08, Springer, Berlin, pp. 481–492.
Gariépy, A. A. , Cyr, J. A. , Levers, A. B. , Perron, C. A. , Bocher, P. C. , and Lévesque, M. A. , 2012, “ Potential Applications of Peen Forming Finite Element Modelling,” Adv. Eng. Software, 52, pp. 60–71. [CrossRef]
Ciampini, D. , Papini, M. , and Spelt, J. K. , 2009, “ Modeling the Development of Almen Strip Curvature in Vibratory Finishing,” J. Mater. Process. Technol., 209(6), pp. 2923–2939. [CrossRef]
Han, K. , Owen, D. , and Peric, D. , 2002, “ Combined Finite/Discrete Element and Explicit/Implicit Simulations of Peen Forming Process,” Eng. Comput., 19(1–2), pp. 92–118. [CrossRef]
Meguid, S. A. , and Maricic, L. A. , 2015, “ Finite Element Modeling of Shot Peening Residual Stress Relaxation in Turbine Disk Assemblies,” ASME J. Eng. Mater. Technol., 137(3), p. 031003. [CrossRef]
Levers, A. , and Prior, A. , 1998, “ Finite Element Analysis of Shot Peening,” J. Mater. Process. Technol., 98, pp. 304–308. [CrossRef]
Wang, T. , Platts, M. J. , and Levers, A. , 2006, “ A Process Model for Shot Peen Forming,” J. Mater. Process. Technol., 172(2), pp. 159–162. [CrossRef]
Wang, T. , Platts, M. J. , and Wu, J. , 2008, “ The Optimisation of Shot Peen Forming Processes,” J. Mater. Process. Technol., 206(1–3), pp. 78–82. [CrossRef]
Gariépy, A. , Larose, S. , Perron, C. , Bocher, P. , and Lévesque, M. , 2013, “ On the Effect of the Orientation of Sheet Rolling Direction in Shot Peen Forming,” J. Mater. Process. Technol., 213(6), pp. 926–938. [CrossRef]
Gariépy, A. , Larose, S. , Perron, C. , Bocher, P. , and Lévesque, M. , 2013, “ On the Effect of the Peening Trajectory in Shot Peen Forming,” Finite Elem. Anal. Des., 69, pp. 48–61. [CrossRef]
Kang, X. , Wang, T. , and Platts, J. , 2010, “ Multiple Impact Modelling for Shot Peening and Peen Forming,” Proc. Inst. Mech. Eng. B, 224(5), pp. 689–697. [CrossRef]
Chen, Z. , Yang, F. , and Meguid, S. A. , 2014, “ Realistic Finite Element Simulations of Arc-Height Development in Shot-Peened Almen Strips,” ASME J. Eng. Mater. Technol., 136(4), p. 041002. [CrossRef]
Peyre, P. , Petit, M. A. , Bolis, C. , Bartnicki, E. , Fabbro, R. , Chaieb, I. , and Braham, C. , 2004, “ Finite Element Modelling of Laser Peening and Laser Peen Forming of Materials,” 23rd International Congress on Applications of Laser and Electro-Optics (ICALEO), San Francisco, CA, Oct. 4–7.
Peirs, J. , Verleysen, P. , and Degrieck, J. , 2012, “ Study of the Dynamic Bauschinger Effect in Ti6-Al-4V by Torsion Experiments,” EPJ Web of Conferences, 26, p. 1023. [CrossRef]
Meguid, S. A. , Shagal, G. , and Stranart, J. C. , 2007, “ Development and Validation of Novel FE Models for 3D Analysis of Peening of Strain-Rate Sensitive Materials,” ASME J. Eng. Mater. Technol., 129(2), pp. 271–283. [CrossRef]
Premack, T. , and Douglas, A. S. , 1995, “ 3-Dimensional Analysis of the Impact Fracture of 4340-Steel,” Int. J. Solids Struct., 32(17–18), pp. 2793–2812. [CrossRef]
Yang, F. , Chen, Z. , and Meguid, S. A. , “ Effect of Initial Surface Finish on Effectiveness of Shot Peening Treatment Using Enhanced Periodic Cell Model,” Int. J. Mech. Mater. Des., 11(4), pp. 463–478. [CrossRef]
Kim, T. , Lee, H. , Hyun, H. C. , and Jung, S. , 2013, “ Effects of Rayleigh Damping, Friction and Rate-Dependency on 3D Residual Stress Simulation of Angled Shot Peening,” Mater. Design, 46, pp. 26–37. [CrossRef]
Mylonas, G. I. , and Labeas, G. , 2011, “ Numerical Modelling of Shot Peening Process and Corresponding Products: Residual Stress, Surface Roughness and Cold Work Prediction,” Surf. Coat. Technol., 205(19), pp. 4480–4494. [CrossRef]
Yang, Z. , Park, J. S. , and Lee, Y. , 2014, “ A Strip Holding System for Finite Element Simulation of Almen Strip Testing,” J. Mech. Sci. Technol., 28(7), pp. 2825–2830. [CrossRef]
Cao, W. , Fathallah, R. , and Castex, L. , 1995, “ Correlation of Almen Arc Height With Residual-Stresses in Shot Peening Process,” Mater. Sci. Technol. London, 11(9), pp. 967–973. [CrossRef]
Hu, Y. , Xu, X. , Yao, Z. , and Hu, J. , 2010, “ Laser Peen Forming Induced Two Way Bending of Thin Sheet Metals and Its Mechanisms,” J. Appl. Phys., 108, p. 0731177.


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Fig. 1

Top view of the investigated strip constrained by the Almen fixture, with dimensions in mm. The dashed box indicates the simulated region in the FE model.

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Fig. 2

Three-dimensional configuration of the FE model with the coordinate axes

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Fig. 3

Flowchart of the whole numerical approach

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Fig. 4

Top view showing the boundary conditions and the impinging locations of the random shots that are arranged into multiple arrays, with the global view showing the first (dark) and second (light) arrays and the enlarged view showing the sequence of all the shots that fall within one periodic cell

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Fig. 5

Stress–depth profiles for different mesh refinements

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Fig. 6

Stress–depth profiles for different boundary conditions

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Fig. 7

Comparison of the simulated residual stress profile with that the experimental results in Ref. [10]

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Fig. 8

Contours of the stress σxx in x–y plane at three depths: (a) top, (b) the depth corresponding to the maximum stress, and (c) bottom

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Fig. 9

RMS deviation of the stress distribution at each depth

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Fig. 10

Strip deflection along the partition paths parallel to (a) the length and (b) the width, compared with those measured by the experiments in Ref. [33]

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Fig. 11

Averaged residual stress versus depth under the constraint of Almen fixture for the shot velocities of (a) 25 m/s, (b) 50 m/s, and (c) 75 m/s

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Fig. 12

Averaged residual stress versus depth after springback for the shot velocities of (a) 25 m/s, (b) 50 m/s, and (c) 75 m/s

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Fig. 13

Deflection development versus the number of the impinged shots for the shot velocities of (a) 25 m/s, (b) 50 m/s, and (c) 75 m/s

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Fig. 14

Final strip deflection versus thickness for different shot velocities

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Fig. 15

Plastic ratio versus thickness for different shot velocities



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