A 3D FEA Model with Plastic Shots for Evaluation of Peening Residual Stress due to Multi-Impacts

다중충돌 피닝잔류응력 평가를 위한 소성숏이 포함된 3차원 유한요소해석 모델

  • 김태형 (서강대학교 대학원 기계공학과) ;
  • 이형일 (서강대학교 기계공학과)
  • Published : 2008.08.01


In this paper, we propose a 3-D finite element (FE) analysis model with combined physical behavior and kinematical impact factors for evaluation of residual stress in multi-impact shot peening. The FE model considers both physical behavior of material and characteristics of kinematical impact. The physical parameters include elastic-plastic FE modeling of shot ball, material damping coefficient, dynamic friction coefficient. The kinematical parameters include impact velocity and diameter of shot ball. Multi-impact FE model consists of 3-D symmetry-cell. We can describe a certain repeated area of peened specimen under equibiaxial residual stress by the cell. With the cell model, we investigate the FE peening coverage, dependency on the impact sequence, effect of repeated cycle. The proposed FE model provides converged and unique solution of surface stress, maximum compressive residual stress and deformation depth at four impact positions. Further, in contrast to the rigid and elastic shots, plastically deformable shot produces residual stresses closer to experimental solutions by X-ray diffraction. Consequently, it is confirmed that the FE model with peening factors and plastic shot is valid for multi-shot peening analyses.


Symmetry-Cell;Peening Coverage;Impact Sequence;Repeated Cycle;Multi-Impact;Equi-biaxial Stress


  1. Verpoort, C. M. and Gerdes, C., 1989, "Influence of Shot Peening on Material Properties of Turbine Blades," Shot Peening Theory and Application, Institute for Industrial Technology Transfer International, Vol. 1, pp. 11-70
  2. Garibay, R. P. and Terry, S. L., 1989, "High Technology Shot Peeing for Automatic Industry," Shot Peening Theory and Application, Institute for Industrial Technology Transfer International, Vol. 1, pp. 227-234
  3. Suresh, S. and Giannakopoulos, A. E., 1998, "A New Method for Estimating Residual Stresses by Instrumented Sharp Indentation," Acta Materialia, Vol. 46, pp. 5755-5767
  4. Al-Hassani, S. T. S., 1981, "Mechanical Aspects of Residual Stress Development in Shot Peening," 1st International Conference on Shot Peening, pp. 583-602
  5. Al Obaid, Y. F., 1995, "Shot Peening Mechanics: Experimental and Theoretical Analysis," Mechanics of Materials, Vol. 19, pp. 251-260
  6. Hills, D. A., Waterhouse, R. B. and Noble, B., 1983, "An Analysis of Shot Peening," Journal of Strain Analysis, Vol. 18, pp. 95-100
  7. Al-Obaid, Y. F., 1990, "Three Dimensional Dynamic Finite Element Analysis for Shot Peening Mechanics," Computers & Structures, Vol. 36, pp. 681-689
  8. Guagliano, M., 2001, "Relating Almen Intensity to Residual Stresses Induced by Shot Peening: A Numerical Approach," Journal of Materials Processing Technology, Vol. 110, pp. 227-286
  9. Kim, T. J., Kim, N. S., Park, S. C. and Jeong, W. W., 2002, " Finite Element Analysis of Shot Peening Effected by Multiple Impacts," KSME (A), Vol. 26, No. 12, pp. 2656-2661
  10. Majzoobi, G. H., Azizi, R. and Alavi N., A., 2005, "A Three-dimensional Simulation of Shot Peening Process using Multiple Shot Impacts," Journal of Materials Processing Technology, Vol. 164-165, pp. 1226-1234
  11. Han, K., Owen, D. R. J. and Peric, D., 2001, "Combined Finite/Discrete Element and Explicit /Implicit Simulations of Peen Forming Processes," Engineering Computations, Vol. 19, No. 1, pp. 92-118
  12. Kim, T. and Lee, H., 2008, "A 2D FE Model for Unique Solution of Peening Residual Stress in Single Shot Impact," KSME (A), Vol. 32, No. 4, pp. 362-370
  13. ABAQUS User's Manual, 2004, Version 6.5, Hibbitt, Karlsson and Sorensen, Inc., Pawtucket, RI
  14. Fathallah, R., Inglebert, G. and Castex, L., 1996, "Modeling of Shot Peening Residual Stresses and Plastic Deformation Induced in Metallic Parts," 6st International Conference on Shot Peening, pp. 464-473
  15. Cao, W., Fathallah, R. and Castex, L., 1995, "Correlation of Almen Arc Height with Residual Stresses in Shot Peening Process," Materials Science and Technology, Vol. 11, No. 9, pp. 967-973
  16. Rotation Table Type Impeller Peening Machine (PMI-0608) User's Manual, 2004, Saemyung Shot Machinery Co., Inc
  17. Torres, M. A. S. and Voorwald, H. J. C., 2002, "An Evaluation of Shot Peening Residual Stress and Stress Relaxation on the Fatigue Life of AISI 4340 Steel," International Journal of Fatigue, Vol. 24, pp. 877-886
  18. Carlsson, S. and Larsson, P. L., 2001, "On the Determination of Residual Stress and Strain Fields by Sharp Indentation Testing. Part I: Theoretical and Numerical Analysis," Acta Materialia, Vol. 49, pp. 2179-2191
  19. Schiffner, K. and Helling, C., 1999, "Simulation of Residual Stresses by Shot Peening," Computers & Structures, Vol. 72, pp. 329-340
  20. Han, K., Peric, D., Owen, D. R. J. and Yu, J., 2000, "A Combined Finite/Discrete Element Simulation of Shot Peening Processes Part II: 3D Interaction Laws," Engineering Computations, Vol. 17, No. 6, pp. 680-702
  21. Meguid, S. A., Shagal, G. and Stranart, J. C., 2002, "3D FE Analysis of Peening of Strain-Rate Sensitive Materials using Multiple Impingement Model," International Journal of Impact Engineering, Vol. 27, pp. 119-134

Cited by

  1. Residual stress near single shot peening impingements determined by nanoindentation and numerical simulations vol.50, pp.5, 2015,
  2. Area-Averaged Solution of Peening Residual Stress Using a 3D Multi-impact Symmetry-cell FE Model with Plastic Shots vol.33, pp.4, 2009,
  3. Effect of Strain Rate and Material Hardness on Residual Stress in Multiple Impact Shot Peening vol.35, pp.11, 2011,