Modeling of Residual Stresses when Calculating Strength of Lock Joint Elements. Part 1. Modeling of the Shot Peening Process

Shot peening is used to increase life of crucial parts of modern gas turbine engines and ground-based industrial engines. Currently, rational shot peening parameters are selected based on empiric methods. In this work, presented in two parts, a computational technique for evaluating the influence of shot peening parameters on the stress-strain state of lock joint elements is presented. The first part describes the developed technique for calculating the residual stress and plastic strain fields induced by shot peening. The technique is based on finite element modeling of the impact created by a series of micro-shots in a small area of the hardened material in the elastic-plastic formulation. A specific feature of the method is its versatility in relation to the processing parameters and properties of the workpiece. The method is structured so as to provide automatic reconfiguration of the calculated finite element model depending on the initial data. Using the proposed approach, diagrams of components of the residual stresses and equivalent plastic deformation are plotted. The results of calculating the residual stress field induced by shot peening in the surface layer of a nickel alloy part are presented. An analysis of the influence of shot peening parameters on the obtained diagrams of components of the residual stress and plastic strain is conducted. The results of residual stress field modeling based on the proposed method can be used for setting an initial strain-stress state when analyzing static and fatigue strength of gas turbine parts.

References

[1] Petukhov A.N. Soprotivleniye ustalosti detaley GTD [The fatigue resistance of gas turbine engine parts]. Moscow, Mashinostroyeniye publ., 1993. 240 p.

[2] Almen J.O., Black P.H. Residual stresses and fatigue in metals. McGraw-Hill, 1963. 12 p.

[3] Prevéy P.S. The measurement of subsurface residual stress and cold work distributions in nickel base alloys. Residual Stress in Design, Process and Materials Selection, ASM, Metals Park, OH, 1987, pp. 11–19.

[4] Ezeilo A., Webster G., Webster P.J., Webster P.S. Comparison of shot peening residual stress distributions in a selection of materials. 5th International Conference on Shot Peening, Oxford, UK, Sept. 1993, pp. 13–17.

[5] Shaw M.C., DeSalvo G.J. On the plastic flow beneath a blunt axisymmetric indenter. Journal of Engineering for Industry, 1970, vol. 92, no. 2, pp. 480–492, doi: 10.1115/1.3427786

[6] Johnson W. Impact strength of materials. Edward Arnold, 1972. 361 p.

[7] Schiffner K., Droste Gen Helling C. Simulation of residual stresses by shot peening. Computers & structures, 1999, vol. 72, no. 1, pp. 329–340, doi: 10.1016/S0045-7949(99)00012-7

[8] Ikushima K., Shibahara M., Akita K., Suzuki H., Morooka S., Nishikawa S., Furukawa T. Numerical analysis of residual stress distribution on peening process. Welding in the World, 2017, vol. 61, no. 3, pp. 517–527, doi: 10.1007/s40194-017-0430-4

[9] Wang T., Platts M.J., Levers A. A process model for shot peen forming. Journal of Materials Processing Technology, 2006, vol. 172, no. 2, pp. 159–162, doi: 10.1016/j.jmatprotec.2005.09.006

[10] Meguid S.A., Shagal G., Stranart J.C., Daly J. Three-dimensional dynamic finite element analysis of shot-peening induced residual stresses. Finite elements in analysis and design, 1999, vol. 31, no. 3, pp. 179–191, doi: 10.1016/S0168-874X(98)00057-2

[11] Meguid S.A., Shagal G., Stranart J.C. Development and validation of novel FE models for 3D analysis of peening of strain-rate sensitive materials. Journal of Engineering Materials and Technology, 2007, vol. 129, no. 2, pp. 271–283, doi: 10.1115/1.2712469

[12] Meguid S.A., Shagal G., Stranart J.C. 3D FE analysis of peening of strain-rate sensitive materials using multiple impingement model. International Journal of Impact Engineering, 2002, vol. 27, no. 2, pp. 119–134, doi: 10.1016/S0734-743X(01)00043-4

[13] Meguid S.A., Shagal G., Stranart J.C., Liew K.M., Ong L.S. Relaxation of peening residual stresses due to cyclic thermo-mechanical overload. Journal of engineering materials and technology, 2005, vol. 127, no. 2, pp. 170–178, doi: 10.1115/1.1867986

[14] Meguid S.A., Maricic L.A. Finite Element Modeling of Shot Peening Residual Stress Relaxation in Turbine Disk Assemblies. Journal of Engineering Materials and Technology, 2015, vol. 137, no. 3, pp. 031003, doi: 10.1115/1.4030066

[15] Kim T., Lee J.H., Lee H., Cheong S.-k. An area-average approach to peening residual stress under multi-impacts using a three-dimensional symmetry-cell finite element model with plastic shots. Materials & Design, 2010, vol. 31, no. 1, pp. 50–59, doi: 10.1016/j.matdes.2009.07.032

[16] Schwarzer J., Schulze V., Vöhringer O. Evaluation of the influence of shot peening parameters on residual stress profiles using finite element simulation. Materials Science Forum, 2003, vol. 426, pp. 3951–3956.

[17] Miao H.Y., Larose S., Perron C., Lévesque M. On the potential applications of a 3D random finite element model for the simulation of shot peening. Advances in Engineering Software, 2009, vol. 40, no. 10, pp. 1023–1038, doi: 10.1016/j.advengsoft.2009.03.013

[18] Miao H.Y., Larose S., Perron C., Lévesque M. Numerical simulation of the stress peen forming process and experimental validation. Advances in Engineering Software, 2011, vol. 42, no. 11, pp. 963–975, doi: 10.1016/j.advengsoft.2011.05.025

[19] Pham T.Q., Khun N.W., Butler D.L. New approach to estimate coverage parameter in 3D FEM shot peening simulation. Surface Engineering, 2017, vol. 33(9), pp. 687–695, doi: 10.1080/02670844.2016.1274536

[20] Labeas G., Rodopoulos C.A., Spinner D. Relating shot peening process parameters to residual stresses – a computational/stochastic marriage. Electronic Incorporated-The Shot Peener-Shot Peening Library, 2008, vol. 22, pp. 1–15. Available at: https://www.shotpeener.com/library/pdf/2008012.pdf (accessed 05 August 2018).

[21] Mylonas G.I., Labeas G. Numerical modelling of shot peening process and corresponding products: residual stress, surface roughness and cold work prediction. Surface and Coatings Technology, 2011, vol. 205, no. 19, pp. 4480–4494, doi: 10.1016/j.surfcoat.2011.03.080

[22] Miftakhov A.A., Mazein P.G. Modeling of residual stresses in gidrodrobestruynoe treatment. Izvestiya Chelyabinskogo nauchnogo tsentra UrO RAN, 2006, no. 4, pp. 129–133 (in Russ.).

[23] Johnson G.R., Cook W.H. A constitutive model and data for metals subjected to large strains, high strain rates and high temperatures. Proceedings of the 7th International Symposium on Ballistics, 1983, vol. 21, no. 1, pp. 541–547.

[24] Joshi D.R. Finite Element Simulation of Machining a Nickel-based Superalloy-Inconel 718. Degree of master of science. Oklahoma State University, 2004. 128 p.

[25] Bathe K.J. Finite element procedures. Klaus-Jurgen Bathe, 2006. 1043 p.

[26] Hallquist J.O. LS-DYNA keyword user’s manual. Livermore Software Technology Corporation, vol. 970. 2007.

[27] Saverin M.M. Drobestruynyy naklep [Shot peening]. Moscow, Mashgiz publ., 1955. 312 p.