–
Eigenstrain method in simulations of laser peen forming of curved surfaces
POLTL Dominik, TEJA SALA Siva, KASHAEV Nikolai, KLUSEMANN Benjamin
download PDFAbstract. The eigenstrain ansatz allows for the efficient simulation of large-scale applications of Laser Peen Forming (LPF) while being subject to geometric constraints. A setup to investigate the viability of the method for non-uniform curvature is proposed. A small-scale laser processing is simulated on cylinder shells of given curvature. Eigenstrains are determined in representative cells and mapped onto a second cylinder shell with different curvature to simulate a large-scale processing operation. The eigenstrains result in changes in local curvature. This is repeated for four curvatures. The resulting data is used to investigate the dependence of the induced curvature change on the origin geometry of the eigenstrains. A determined regression relation provides insight into the feasibility of the eigenstrain ansatz beyond its constrains.
Keywords
Finite Element Analysis, Laser Peen Forming, Eigenstrain, Bending, Curvature
Published online 4/24/2024, 9 pages
Copyright © 2024 by the author(s)
Published under license by Materials Research Forum LLC., Millersville PA, USA
Citation: POLTL Dominik, TEJA SALA Siva, KASHAEV Nikolai, KLUSEMANN Benjamin, Eigenstrain method in simulations of laser peen forming of curved surfaces, Materials Research Proceedings, Vol. 41, pp 2355-2363, 2024
DOI: https://doi.org/10.21741/9781644903131-259
The article was published as article 259 of the book Material Forming
Content from this work may be used under the terms of the Creative Commons Attribution 3.0 license. Any further distribution of this work must maintain attribution to the author(s) and the title of the work, journal citation and DOI.
References
[1] R. R. Boyer, “An overview on the use of titanium in the aerospace industry,” Materials Science and Engineering: A, vol. 213, no. 1, pp. 103–114, Aug. 1996. https://doi.org/10.1016/0921-5093(96)10233-1
[2] L. Berthe, R. Fabbro, P. Peyre, L. Tollier, and E. Bartnicki, “Shock waves from a water-confined laser-generated plasma,” Journal of Applied Physics, vol. 82, no. 6, pp. 2826–2832, Sep. 1997. https://doi.org/10.1063/1.366113
[3] P. Peyre and R. Fabbro, “Laser shock processing: a review of the physics and applications,” Optical and Quantum Electronics, vol. 27, no. 12, pp. 1213–1229, Dec. 1995. https://doi.org/10.1007/BF00326477
[4] Y. Hu and R. V. Grandhi, “Efficient numerical prediction of residual stress and deformation for large-scale laser shock processing using the eigenstrain methodology,” Surface and Coatings Technology, vol. 206, no. 15, pp. 3374–3385, Mar. 2012. https://doi.org/10.1016/j.surfcoat.2012.01.050
[5] P. A. Faucheux, F. P. Gosselin, and M. Lévesque, “Simulating shot peen forming with eigenstrains,” Journal of Materials Processing Technology, vol. 254, pp. 135–144, Apr. 2018. https://doi.org/10.1016/j.jmatprotec.2017.11.036
[6] S. Keller, M. Horstmann, N. Kashaev, and B. Klusemann, “Experimentally validated multi-step simulation strategy to predict the fatigue crack propagation rate in residual stress fields after laser shock peening,” International Journal of Fatigue, vol. 124, pp. 265–276, Jul. 2019. https://doi.org/10.1016/j.ijfatigue.2018.12.014
[7] S. T. Sala, R. Körner, N. Huber, and N. Kashaev, “On the use of machine learning and genetic algorithm to predict the region processed by laser peen forming,” Manufacturing Letters, vol. 38, pp. 60–64, Nov. 2023. https://doi.org/10.1016/j.mfglet.2023.09.006
[8] S. Cai and Y. Zhang, “A novel approach to reconstruct residual stress fields induced by surface treatments in arbitrary 3D geometries using the eigenstrain method,” International Journal of Solids and Structures, vol. 236–237, p. 111372, Feb. 2022. https://doi.org/10.1016/j.ijsolstr.2021.111372
[9] Z. Zhou et al., “Thermal relaxation of residual stress in laser shock peened Ti–6Al–4V alloy,” Surface and Coatings Technology, vol. 206, no. 22, pp. 4619–4627, Jun. 2012. https://doi.org/10.1016/j.surfcoat.2012.05.022
[10] G. R. Johnson and W. H. Cook, “A Constitutive Model and Data for Metals Subjected to Large Strains, High Strain Rates, and High Temperatures. Proceedings of the 7th International Symposium on Ballistic,” The Hague, Apr. 1983, pp. 541–547.
[11] W.-S. Lee and C.-F. Lin, “High-temperature deformation behaviour of Ti6Al4V alloy evaluated by high strain-rate compression tests,” Journal of Materials Processing Technology, vol. 75, no. 1, pp. 127–136, Mar. 1998. https://doi.org/10.1016/S0924-0136(97)00302-6