journal article·2021-06Open access

Microscale Structure to Property Prediction for Additively Manufactured IN625 through Advanced Material Model Parameter Identification

Sourav Saha, Orion L. Kafka, Ye Lu, Cheng Yu, Wing Kam Liu

Abstract

Challenge 4 of the Air Force Research Laboratory additive manufacturing modeling challenge series asks the participants to predict the grain-average elastic strain tensors of a few specific challenge grains during tensile loading, based on experimental data and extensive characterization of an IN625 test specimen. In this article, we present our strategy and computational methods for tackling this problem. During the competition stage, a characterized microstructural image from the experiment was directly used to predict the mechanical responses of certain challenge grains with a genetic algorithm-based material model identification method. Later, in the post-competition stage, a proper generalized decomposition (PGD)-based reduced order method is introduced for improved material model calibration. This data-driven reduced order method is efficient and can be used to identify complex material model parameters in the broad field of mechanics and materials science. The results in terms of absolute error have been reported for the original prediction and re-calibrated material model. The predictions show that the overall method is capable of handling large-scale computational problems for local response identification. The re-calibrated results and speed-up show promise for using PGD for material model calibration.
Source: europepmc · Quality: candidate unverified · Source record ↗

Research context

OpenAlex topics: Additive Manufacturing Materials and Processes · Metallurgy and Material Forming · Additive Manufacturing and 3D Printing Technologies

SciVX discovery tags are terminology-based. OpenAlex topics are source-provided classifications.

References (44)

Show source-provided references
1. Francois MM, Sun A, King WE, Henson NJ, Tourret D, Bronkhorst CA, Carlson NN, Newman CK, Haut TS, Bakosi J et al (2017) Modeling of additive manufacturing processes for metals: challenges and opportunities. Curr Opin Solid State Mater Sci 21(4)10.1016/j.cossms.2016.12.001 ↗
2. Sames WJ, List FA, Pannala S, Dehoff RR, Babu SS (2016) The metallurgy and processing science of metal additive manufacturing. Int Mater Rev 61(5):315–36010.1080/09506608.2015.1116649 ↗
3. Smith J, Xiong W, Yan W, Lin S, Cheng P, Kafka OL, Wagner GJ, Cao J, Liu WK (2016) Linking process, structure, property, and performance for metal-based additive manufacturing: computational approaches with experimental support. Comput Mech 57(4):583–61010.1007/s00466-015-1240-4 ↗
4. Yihong K, Tan XP, Wang P, Nai MLS, Loh NH, Liu E, Tor SB (2018) Anisotropy and heterogeneity of microstructure and mechanical properties in metal additive manufacturing: a critical review. Mater Design 139:565–58610.1016/j.matdes.2017.11.021 ↗
5. Li C, Liu ZY, Fang XY, Guo YB (2018) Residual stress in metal additive manufacturing. Procedia Cirp 71:348–35310.1016/j.procir.2018.05.039 ↗
6. Benzing JT, Liew LA, Hrabe N, DelRio FW (2020) Tracking defects and microstructural heterogeneities in meso-scale tensile specimens excised from additively manufactured parts. Exp Mech 60(2):165–17010.1007/s11340-019-00558-4 ↗
7. Kafka OL, Jones KK, Yu C, Cheng P, Liu WK (2021) Image-based multiscale modeling with spatially varying microstructures from experiments: demonstration with additively manufactured metal in fatigue and fracture. J Mech Phys Solids 150: 10435010.1016/j.jmps.2021.104350 ↗
8. Prithivirajan V, Sangid MD (2018) The role of defects and critical pore size analysis in the fatigue response of additively manufactured IN718 via crystal plasticity. Mater Design 150:139–15310.1016/j.matdes.2018.04.022 ↗
9. Gorelik M (2017) Additive manufacturing in the context of structural integrity. Int J Fatigue 94:168–17710.1016/j.ijfatigue.2016.07.005 ↗
10. Lu Y, Blal N, Gravouil A (2018) Adaptive sparse grid based HOPGD: toward a nonintrusive strategy for constructing space-time welding computational vademecum. Int J Numer Meth Eng 114(13):1438–146110.1002/nme.5793 ↗
11. Lu Y, Blal N, Gravouil A (2019) Datadriven HOPGD based computational vademecum for welding parameter identification. Comput Mech 64(1):47–6210.1007/s00466-018-1656-8 ↗
12. Chipperfield A, Fleming P, Pohlheim H, Fonseca C (1994) Genetic algorithm toolbox for use with MATLAB. Citeseer10.1049/ic:19950061 ↗
13. Beaudoin AJ, Obstalecki M, Storer R, Tayon W, Mach J, Kenesei P, Lienert U (2012) Validation of a crystal plasticity model using high energy diffraction microscopy. Modell Simul Mater Sci Eng 20(2):02400610.1088/0965-0393/20/2/024006 ↗
14. Prithivirajan V, Ravi P, Naragani D, Sangid MD (2021) Direct comparison of microstructure-sensitive fatigue crack initiation via crystal plasticity simulations and in situ high-energy x-ray experiments. Mater Design 197:10921610.1016/j.matdes.2020.109216 ↗
15. Turner TJ, Shade PA, Bernier JV, Li SF, Schuren JC, Kenesei P, Suter RM, Almer J (2017) Crystal plasticity model validation using combined high-energy diffraction microscopy data for a Ti-7Al specimen. Metall Mater Trans A 48(2):627–64710.1007/s11661-016-3868-x ↗
16. Air Force Research Laboratory (AFRL) Additive Manufacturing (AM) Modeling Challenge Series. https://materials-data-facility.github.io/MID3AS-AM-Challenge/. February 2021. Accessed 4 March 2021
17. Haouala S, Lucarini S, LLorca J, Segurado J (2020) Simulation of the hall-petch effect in FCC polycrystals by means of strain gradient crystal plasticity and FFT homogenization. J Mech Phys Solids 134:10375510.1016/j.jmps.2019.103755 ↗
18. Roters F, Eisenlohr P, Hantcherli L, Tjahjanto DD, Bieler TR, Raabe D (2010) Overview of constitutive laws, kinematics, homogenization and multiscale methods in crystal plasticity finite-element modeling: theory, experiments, applications. Acta Mater 58(4):1152–121110.1016/j.actamat.2009.10.058 ↗
19. Cheng Yu, Kafka OL, Liu WK (2019) Self-consistent clustering analysis for multiscale modeling at finite strains. Comput Methods Appl Mech Eng 349:339–35910.1016/j.cma.2019.02.027 ↗
20. Lebensohn RA (2001) N-site modeling of a 3D viscoplastic polycrystal using fast Fourier transform. Acta Mater 49(14):2723–273710.1016/S1359-6454(01)00172-0 ↗
21. Kapoor K, Ravi P, Noraas R, Park J-S, Venkatesh V, Sangid MD (2021) Modeling Ti-6Al-4V using crystal plasticity, calibrated with multi-scale experiments, to understand the effect of the orientation and morphology of the $$\alpha $$ and $$\beta $$ phases on time dependent cyclic loading. J Mech Phys Solids 146:10419210.1016/j.jmps.2020.104192 ↗
22. Rovinellia A, Proudhon H, Lebensohn RA, Sangid MD (2020) Assessing the reliability of fast Fourier transform-based crystal plasticity simulations of a polycrystalline material near a crack tip. Int J Solids Struct 184:153–16610.1016/j.ijsolstr.2019.02.024 ↗
23. Kafka OL, Yu C, Shakoor M, Liu Z, Wagner GJ, Liu WK (2018) Data-driven mechanistic modeling of influence of microstructure on high-cycle fatigue life of nickel titanium. JOM 70(7):1154–115810.1007/s11837-018-2868-2 ↗
24. Liu Z, Kafka OL, Yu C, Liu WK (2018) Data-driven self-consistent clustering analysis of heterogeneous materials with crystal plasticity. In: Advances in computational plasticity, pp 221–242. Springer10.1007/978-3-319-60885-3_11 ↗
25. Deka D, Joseph DS, Ghosh S, Mills MJ (2006) Crystal plasticity modeling of deformation and creep in polycrystalline Ti-6242. Metall Mater Trans A 37(5):1371–138810.1007/s11661-006-0082-2 ↗
26. Bhattacharyya M, Fau A, Nackenhorst U, Néron D, Ladevèze P (2018) A multi-temporal scale model reduction approach for the computation of fatigue damage. Comput Methods Appl Mech Eng 340:630–65610.1016/j.cma.2018.06.004 ↗
27. Goury O, Amsallem D, Bordas SPA, Liu WK, Kerfriden P (2016) Automatised selection of load paths to construct reduced-order models in computational damage micromechanics: from dissipation-driven random selection to Bayesian optimization. Comput Mech 58(2):213–23410.1007/s00466-016-1290-2 ↗
28. Lu Y, Jones KK, Zhengtao G, Liu WK (2020) Adaptive hyper reduction for additive manufacturing thermal fluid analysis. Comput Methods Appl Mech Eng 372:11331210.1016/j.cma.2020.113312 ↗
29. Néron D, Ladevèze P (2010) Proper generalized decomposition for multiscale and multiphysics problems. Arch Comput Methods Eng 17(4):351–37210.1007/s11831-010-9053-2 ↗
30. Ammar A, Mokdad B, Chinesta F, Keunings R (2006) A new family of solvers for some classes of multidimensional partial differential equations encountered in kinetic theory modeling of complex fluids. J Nonnewton Fluid Mech 139(3):153–17610.1016/j.jnnfm.2006.07.007 ↗
31. Modesto D, Zlotnik S, Huerta A (2015) Proper generalized decomposition for parameterized helmholtz problems in heterogeneous and unbounded domains: application to harbor agitation. Comput Methods Appl Mech Eng 295:127–14910.1016/j.cma.2015.03.026 ↗
32. Lu Y, Blal N, Gravouil A (2018) Multi-parametric space-time computational vademecum for parametric studies: application to real time welding simulations. Finite Elem Anal Des 139:62–7210.1016/j.finel.2017.10.008 ↗
33. Tezzele M, Demo N, Stabile G, Mola A, Rozza G (2020) Enhancing CFD predictions in shape design problems by model and parameter space reduction. Adv Model Simul Eng Sci 7(1):1–1910.1186/s40323-020-00177-y ↗
34. Shade PA, Blank Ba, Schuren JC, Turner TJ, Kenesei P, Goetze K, Suter RM, Bernier JV, Li SF, Lind J, Lienert U, Almer J (2015) A rotational and axial motion system load frame insert for in situ high energy x-ray studies. Rev Sci Instrum 86(9):09390210.1063/1.4927855 ↗
35. Uchic M, Groeber M, Shah M, Callahan P, Shiveley A, Scott M, Chapman M, Spowart J (2016) An automated multi-modal serial sectioning system for characterization of grain-scale microstructures in engineering materials. In: De Graef M, Poulsen HF, Lewis A, Simmons J, Spanos G (eds) Proceedings of the 1st international conference on 3D materials science, pp 195–202. Springer10.1002/9781118686768.ch30 ↗
36. ASTM E8 / E8M-16ae1 (2021) Standard test methods for tension testing of metallic materials
37. Moulinec H, Suquet P (1998) A numerical method for computing the overall response of nonlinear composites with complex microstructure. Comput Methods Appl Mech Eng 157(1–2):69–9410.1016/S0045-7825(97)00218-1 ↗
38. Kabel M, Böhlke T, Schneider M (2014) Efficient fixed point and Newton-Krylov solvers for FFT-based homogenization of elasticity at large deformations. Comput Mech 54(6):1497–151410.1007/s00466-014-1071-8 ↗
39. Frigo M, Johnson SG (2005) The design and implementation of FFTW3. In proceedings of the IEEE, pp 216–23110.1109/JPROC.2004.840301 ↗
40. Groeber MA, Jackson MA (2014) Dream 3D: a digital representation environment for the analysis of microstructure in 3D. Integr Mater Manuf Innov 3(1):56–7210.1186/2193-9772-3-5 ↗
41. Wang Z, Stoica AD, Ma D, Beese AM (2016) Diffraction and single-crystal elastic constants of Inconel 625 at room and elevated temperatures determined by neutron diffraction. Mater Sci Eng A 674:406–41210.1016/j.msea.2016.08.010 ↗
42. Blal N, Gravouil A (2019) Non-intrusive data learning based computational homogenization of materials with uncertainties. Comput Mech 64(3):807–82810.1007/s00466-019-01682-7 ↗
43. Ghnatios C, Masson F, Huerta A, Leygue A, Cueto E, Chinesta F (2012) Proper generalized decomposition based dynamic data-driven control of thermal processes. Comput Methods Appl Mech Eng 213:29–4110.1016/j.cma.2011.11.018 ↗
44. Shakoor M, Kafka OL, Yu C, Liu WK (2019) Data science for finite strain mechanical science of ductile materials. Comput Mech 64(1):33–4510.1007/s00466-018-1655-9 ↗