Research Papers

Realistic Finite Element Simulations of Arc-Height Development in Shot-Peened Almen Strips

[+] Author and Article Information
Zhuo Chen, Fan Yang

Mechanics and Aerospace Design Laboratory,
Mechanical and Industrial Engineering,
University of Toronto,
5 King's College Road,
Toronto, ON M5S 3G8, Canada

S. A. Meguid

Fellow ASME
Mechanics and Aerospace Design Laboratory,
Mechanical and Industrial Engineering,
University of Toronto,
5 King's College Road,
Toronto, ON M5S 3G8, Canada
e-mail: meguid@mie.utoronto.ca

1Corresponding author.

Contributed by the Materials Division of ASME for publication in the JOURNAL OF ENGINEERING MATERIALS AND TECHNOLOGY. Manuscript received February 24, 2014; final manuscript received June 30, 2014; published online July 29, 2014. Assoc. Editor: Hareesh Tippur.

J. Eng. Mater. Technol 136(4), 041002 (Jul 29, 2014) (7 pages) Paper No: MATS-14-1042; doi: 10.1115/1.4028006 History: Received February 24, 2014; Revised June 30, 2014

It is the objective of this study to conduct realistic simulations of the arc-height development in shot-peened Almen strips using the finite element (FE) method. Unlike our earlier work which is devoted to relaxation of shot peening induced residual stress, in this paper, the focus is on peen forming as a result of repeated spherical impingement. Specifically, a 3D FE model with 1500 randomly distributed shots bombarding an Almen strip was developed. Strain rate dependent plasticity was considered and an artificial material damping was applied to control the undesired high-frequency oscillations. The solution further adopts both explicit dynamic and implicit quasi-static analyses to simulate the entire arc-height development in the Almen strips. Quantitative relationships between the resulting equivalent plastic strain and the associated residual stress distribution for a given shot velocity and shot numbers are established and discussed. The work also considers the effect of repeated impacts upon the induced residual stress field using a large number of random shots. Attention was further devoted to the effect of the strip constraint upon the outcome of the impingement. Our results indicate that the proposed FE model is a powerful tool in investigating the underlying mechanisms of the peening treatment.

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Fig. 1

Investigated FE model: (a) schematic plot of the test strip, (b) top view of the strip with boundary conditions, and (c) 3D view of the full FE model

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Fig. 2

Effect of springback and shot velocity on equivalent plastic strain

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Fig. 3

Effect of the accumulative shot number on equivalent plastic strain for different shot velocity: (a) v = 50 m/s, (b) v = 65 m/s, and (c) v = 75 m/s

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Fig. 4

Effect of shot number on residual stresses in the strip at (a) constrained state and (b) unconstrained state using shot velocity of 50 m/s

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Fig. 5

Effect of shot velocity on the residual stress in the strip at (a) constrained state and (b) unconstrained state after 1500 random shot impingements

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Fig. 6

Effect of strain-rate sensitivity upon: (a) resulting equivalent plastic strain versus depth and (b) induced residual stress versus depth

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Fig. 7

Effect of strain-rate sensitivity upon strip arc-height

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Fig. 8

Sketch of shot peening on a strip: (a) enlarged view of induced stress profile in the strip at constrained state and (b) arc-height development of the strip at unconstrained state

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Fig. 9

Relationship between constrained induced stress and unconstrained residual stress from (a) Homer and Van Luchene [21] and (b) our model using 1500 shots at velocity of 75 m/s

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Fig. 10

Contours of the residual stress in Almen strip (v = 75 m/s) for the strip at (a) constrained state and (b) unconstrained state

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Fig. 11

Shot peening arc-height versus number of shots

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Fig. 12

Enlarged view of residual stress profile under different conditions: (a) peened strip during constrained state, (b) unconstrained state at 20% of total shot number, (c) unconstrained state at 50% of total shot number, and (d) unconstrained state at 100% of total shot number



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