Efficient Multiscale Simulations of Incremental Sheet Forming Using Machine Learning Surrogate Models for Crystal Plasticity
Source abstract
Abstract
Abstract Multiscale crystal plasticity modeling of metal forming offers potential for effective design processes that consider microstructural evolution during significant plastic deformation. However, conventional multiscale methods for forming are expensive due to complex loading conditions and high-cost microscale models, making them challenging to apply in practice. These methods can be significantly accelerated through use of low-cost machine learning surrogate models for the microscale response. While these techniques have been demonstrated for simple load cases, they have not yet been demonstrated for manufacturing applications with full-field texture results. In this work, we develop efficient multiscale simulation workflows for manufacturing through single-point incremental forming using recurrent neural networks for constitutive response and texture evolution of a crystal plasticity model. This approach achieves up to a 63.6x increase in speed compared to conventional techniques and is demonstrated for an aluminum alloy with two unique forming paths. These workflows yield consistent trends between forming force and thickness variation, texture results in agreement with ground truth models, and permit extraction of the full-field texture evolution over the entire formed part. This enables efficient multiscale trade studies and optimization of local microstructures in industrial forming applications.
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Research context
OpenAlex topics: Machine Learning in Materials Science · Metal Forming Simulation Techniques · Metallurgy and Material Forming
SciVX discovery tags are terminology-based. OpenAlex topics are source-provided classifications.
References (49)
Show source-provided references
1. Spanos G, Daehn G, Allison J, Bilitz E, Bourne D, Cao J, Clarke K, DeLoach Jr J, Herderick E, Lewandowski J et al (2019) Metamorphic manufacturing: Shaping the future of on-demand components. Technical report, The Minerals Metals & Materials Society. https://apps.dtic.mil/sti/citations/AD1070167
2. Horstemeyer MF (2012) Integrated computational materials engineering (ICME) for metals : using multiscale modeling to invigorate engineering design with science. John Wiley & Sons, Hoboken. https://doi.org/10.1002/978111834266410.1002/9781118342664 ↗
3. Banabic D (ed.) (2016) Multiscale modelling in sheet metal forming. Springer, Cham. https://doi.org/10.1007/978-3-319-44070-5. http://www.springer.com/series/1192310.1007/978-3-319-44070-5 ↗
4. Jeswiet J, Micari F, Hirt G, Bramley A, Duflou J, Allwood J (2005) Asymmetric single point incremental forming of sheet metal. CIRP Annal 54:88–114. https://doi.org/10.1016/S0007-8506(07)60021-310.1016/S0007-8506(07)60021-3 ↗
5. Peng W, Ou H, Becker A (2019) Double-sided incremental forming: A review. J Manuf Sci Eng Trans ASME 141:050802. https://doi.org/10.1115/1.404317310.1115/1.4043173 ↗
6. Smith J, Malhotra R, Liu WK, Cao J (2013) Deformation mechanics in single-point and accumulative double-sided incremental forming. Int J Adv Manuf Technol 69:1185–1201. https://doi.org/10.1007/s00170-013-5053-310.1007/s00170-013-5053-3 ↗
7. Darzi S, Kinsey BL, Ha J (2024) Reforming toolpath effect on deformation mechanics in double-sided incremental forming. Int J Mech Sci 280:109548. https://doi.org/10.1016/j.ijmecsci.2024.10954810.1016/j.ijmecsci.2024.109548 ↗
8. Malhotra R, Xue L, Belytschko T, Cao J (2012) Mechanics of fracture in single point incremental forming. J Mater Proc Tech. 212:1573–1590. https://doi.org/10.1016/j.jmatprotec.2012.02.02110.1016/j.jmatprotec.2012.02.021 ↗
9. Li Y, Daniel WJT, Liu Z, Lu H, Meehan PA (2015) Deformation mechanics and efficient force prediction in single point incremental forming. J Mater Proc Technol 221:100–111. https://doi.org/10.1016/j.jmatprotec.2015.02.00910.1016/j.jmatprotec.2015.02.009 ↗
10. Lu B, Fang Y, Xu DK, Chen J, Ai S, Long H, Ou H, Cao J (2015) Investigation of material deformation mechanism in double side incremental sheet forming. Int J Mach Tools Manuf 93:37–48. https://doi.org/10.1016/j.ijmachtools.2015.03.00710.1016/j.ijmachtools.2015.03.007 ↗
11. Peng W, Ou H (2023) Deformation mechanisms and fracture in tension under cyclic bending plus compression, single point and double-sided incremental sheet forming processes. Int J Mach Tools Manuf 184:103980. https://doi.org/10.1016/j.ijmachtools.2022.10398010.1016/j.ijmachtools.2022.103980 ↗
12. Asaro RJ (1983) Crystal plasticity. J Appl Mech 50:921–934. https://doi.org/10.1115/1.316720510.1115/1.3167205 ↗
13. Kalidindi SR, Bronkhorst CA, Anand L (1992) Crystallographic texture evolution in bulk deformation processing of FCC metals. J Mech Phys Solids 40:537–569. https://doi.org/10.1016/0022-5096(92)80003-910.1016/0022-5096(92)80003-9 ↗
14. Roters F, Eisenlohr P, Bieler TR, Raabe D (2010) Crystal plasticity finite element methods in materials science and engineering. Wiley-VCH, Weinheim, Germany. https://doi.org/10.1002/978352763148310.1002/9783527631483 ↗
15. Hill R (1948) A theory of the yielding and plastic flow of anisotropic metals. Proc Royal Soc London Series Mathe Phys Sci 193(1033):281–297. https://doi.org/10.1098/rspa.1948.004510.1098/rspa.1948.0045 ↗
16. Cazacu O, Plunkett B, Barlat F (2006) Orthotropic yield criterion for hexagonal closed packed metals. Int J Plasticity 22:1171–1194. https://doi.org/10.1016/j.ijplas.2005.06.00110.1016/j.ijplas.2005.06.001 ↗
17. Esmaeilpour R, Kim H, Park T, Pourboghrat F, Xu Z, Mohammed B, Abu-Farha F (2018) Calibration of Barlat Yld2004-18P yield function using CPFEM and 3D RVE for the simulation of single point incremental forming (SPIF) of 7075-O aluminum sheet. Int J Mech Sci 145:24–41. https://doi.org/10.1016/j.ijmecsci.2018.05.01510.1016/j.ijmecsci.2018.05.015 ↗
18. Esmaeilpour R, Kim H, Asgharzadeh A, Tiji SAN, Pourboghrat F, Banu M, Bansal A, Taub A (2021) Experimental validation of the simulation of single-point incremental forming of AA7075 sheet with Yld2004-18P yield function calibrated with crystal plasticity model. Int J Adv Manuf Technol 113:2031–2047. https://link.springer.com/article/10.1007/s00170-021-06706-210.1007/s00170-021-06706-2/Published ↗
19. Mishra S, Yazar KU, More AM, Kumar L, Lingam R, Reddy NV, Prakash O, Suwas S (2020) Elucidating the deformation modes in incremental sheet forming process: Insights from crystallographic texture, microstructure and mechanical properties. Mater Sci Eng A 790:139311. https://doi.org/10.1016/j.msea.2020.13931110.1016/j.msea.2020.139311 ↗
20. Tomé CN, Lebensohn R (2023) Material modeling with the visco-plastic self-consistent (VPSC) approach. Elsevier, Cambridge. https://doi.org/10.1016/b978-0-12-820713-0.00013-810.1016/b978-0-12-820713-0.00013-8 ↗
21. Rakshit R, Katiyar BS, Tomé CN, Panda SK, Mandal S (2023) A finite element coupled visco-plastic self-consistent simulation to predict micro-texture and anisotropy evolution during single point incremental forming in al-li alloy. J Mater Proc Technol 312:117834. https://doi.org/10.1016/j.jmatprotec.2022.11783410.1016/j.jmatprotec.2022.117834 ↗
22. Segurado J, Lebensohn RA, Llorca J (2018) Computational homogenization of polycrystals. Adv Appl Mech 51:1–114. https://doi.org/10.1016/bs.aams.2018.07.00110.1016/bs.aams.2018.07.001 ↗
23. Segurado J, Lebensohn RA, Llorca J, Tomé CN (2012) Multiscale modeling of plasticity based on embedding the viscoplastic self-consistent formulation in implicit finite elements. Int J Plasticity 28:124–140. https://doi.org/10.1016/j.ijplas.2011.07.00210.1016/j.ijplas.2011.07.002 ↗
24. Walde T, Riedel H (2007) Simulation of earing during deep drawing of magnesium alloy AZ31. Acta Materialia 55:867–874. https://doi.org/10.1016/j.actamat.2006.09.00710.1016/j.actamat.2006.09.007 ↗
25. Prakash A, Nöhring WG, Lebensohn RA, Höppel HW, Bitzek E (2015) A multiscale simulation framework of the accumulative roll bonding process accounting for texture evolution. Mater Sci Eng A 631:104–119. https://doi.org/10.1016/j.msea.2015.02.00510.1016/j.msea.2015.02.005 ↗
26. Cao J, Bambach M, Merklein M, Mozaffar M, Xue T (2024) Artificial intelligence in metal forming. CIRP Annals 73:561–587. https://doi.org/10.1016/j.cirp.2024.04.10210.1016/j.cirp.2024.04.102 ↗
27. Mozaffar M, Bostanabad R, Chen W, Ehmann K, Cao J, Bessa MA (2019) Deep learning predicts path-dependent plasticity. Proc Nat Acad Sci 116:26414–26420. https://doi.org/10.1073/pnas.191181511610.1073/pnas.1911815116 ↗
28. Gorji MB, Mozaffar M, Heidenreich JN, Cao J, Mohr D (2020) On the potential of recurrent neural networks for modeling path dependent plasticity. J Mech Phys Solids 143:103972. https://doi.org/10.1016/j.jmps.2020.10397210.1016/j.jmps.2020.103972 ↗
29. Logarzo HJ, Capuano G, Rimoli JJ (2021) Smart constitutive laws: Inelastic homogenization through machine learning. Comp Meth Appl Mech Eng 373:113482. https://doi.org/10.1016/j.cma.2020.11348210.1016/j.cma.2020.113482 ↗
30. Bonatti C, Mohr D (2022) On the importance of self-consistency in recurrent neural network models representing elasto-plastic solids. J Mech Phys Solids 158:104697. https://doi.org/10.1016/j.jmps.2021.10469710.1016/j.jmps.2021.104697 ↗
31. Liu B, Ocegueda E, Trautner M, Stuart AM, Bhattacharya K (2023) Learning macroscopic internal variables and history dependence from microscopic models. J Mech Phys Solids 178:105329. https://doi.org/10.1016/j.jmps.2023.10532910.1016/j.jmps.2023.105329 ↗
32. Bonatti C, Berisha B, Mohr D (2022) From CP-FFT to CP-RNN: Recurrent neural network surrogate model of crystal plasticity. Int J Plasticity 158:103430. https://doi.org/10.1016/j.ijplas.2022.10343010.1016/j.ijplas.2022.103430 ↗
33. Yuan M, Paradiso S, Meredig B, Niezgoda SR (2018) Machine learning-based reduce order crystal plasticity modeling for ICME applications. Integr Mater Manuf Innov 7:214–230. https://doi.org/10.1007/s40192-018-0123-x10.1007/s40192-018-0123-x ↗
34. Ali U, Muhammad W, Brahme A, Skiba O, Inal K (2019) Application of artificial neural networks in micromechanics for polycrystalline metals. Int J Plasticity 120:205–219. https://doi.org/10.1016/j.ijplas.2019.05.00110.1016/j.ijplas.2019.05.001 ↗
35. Ibragimova O, Brahme A, Muhammad W, Lévesque J, Inal K (2021) A new ANN based crystal plasticity model for FCC materials and its application to non-monotonic strain paths. Int J Plasticity 144:103059. https://doi.org/10.1016/j.ijplas.2021.10305910.1016/j.ijplas.2021.103059 ↗
36. Chapuis A, Liu Q (2018) Effect of strain rate sensitivity in visco-plastic modeling. Int J Solids Struct 152–153:217–227. https://doi.org/10.1016/j.ijsolstr.2018.06.02910.1016/j.ijsolstr.2018.06.029 ↗
37. Bachmann F, Hielscher R, Schaeben H (2010) Texture analysis with MTEX – free and open source software toolbox. In: Texture and anisotropy of polycrystals III. solid state phenomena, vol. 160, pp. 63–68. Trans Tech Publications Ltd, Switzerland. https://doi.org/10.4028/www.scientific.net/SSP.160.6310.4028/www.scientific.net/SSP.160.63 ↗
38. Chen X, Peng Y, Chen C, Li J, Wang K, Wang T (2019) Mechanical behavior and texture evolution of aluminum alloys subjected to strain path changes: Experiments and modeling. Mater Sci Eng A 757:32–41. https://doi.org/10.1016/j.msea.2019.04.09110.1016/j.msea.2019.04.091 ↗
39. Bower AF (2009) Applied mechanics of solids, 1st edn. CRC Press, Boca Raton, USA. https://doi.org/10.1201/978143980248910.1201/9781439802489 ↗
40. Kingma DP, Ba J (2014) Adam: A method for stochastic optimization. arXiv preprint arXiv:1412.6980
41. Lingam R, Bansal A, Reddy NV (2016) Analytical prediction of formed geometry in multi-stage single point incremental forming. Int J Mater Form 9:395–404. https://doi.org/10.1007/s12289-015-1226-y10.1007/s12289-015-1226-y ↗
42. Mugendiran V, Gnanavelbabu A (2014) Comparison of FLD and thickness distribution on aa5052 aluminium alloy formed parts by incremental forming process. Proced Eng 97:1983–1990. https://doi.org/10.1016/j.proeng.2014.12.35310.1016/j.proeng.2014.12.353 ↗
43. Bhattacharya A, Maneesh K, Reddy NV, Cao J (2011) Formability and surface finish studies in single point incremental forming. J Manuf Sci Eng 133:061020. https://doi.org/10.1115/1.400545810.1115/1.4005458 ↗
44. Rasmussen CE, Williams CKI (2006) Gaussian processes for machine learning. MIT Press, Cambridge, USA. www.GaussianProcess.org/gpml10.7551/mitpress/3206.001.0001 ↗
45. Bunge HJ (1982) Texture analysis in materials science: mathematical methods. Butterworths and Co, Germany. https://doi.org/10.1016/B978-0-408-10642-9.50001-510.1016/B978-0-408-10642-9.50001-5 ↗
46. Eghtesad A, Barrett TJ, Knezevic M (2018) Compact reconstruction of orientation distributions using generalized spherical harmonics to advance large-scale crystal plasticity modeling: Verification using cubic, hexagonal, and orthorhombic polycrystals. Acta Materialia 155:418–432. https://doi.org/10.1016/j.actamat.2018.06.01710.1016/j.actamat.2018.06.017 ↗
47. Liu B, Kovachki N, Li Z, Azizzadenesheli K, Anandkumar A, Stuart AM, Bhattacharya K (2022) A learning-based multiscale method and its application to inelastic impact problems. J Mech Phys Solids 158:104668. https://doi.org/10.1016/j.jmps.2021.10466810.1016/j.jmps.2021.104668 ↗
48. Settles B (2009) Active learning literature survey. Technical report, University of Wisconsin-Madison Department of Computer Sciences. http://digital.library.wisc.edu/1793/60660
49. Heidenreich JN, Mohr D (2024) Recurrent neural network plasticity models: Unveiling their common core through multi-task learning. Comp Meth Appl Mech Eng 426:116991. https://doi.org/10.1016/j.cma.2024.11699110.1016/j.cma.2024.116991 ↗