Technical Papers
May 31, 2020

Physically Based Constitutive Model for Viscoplastic Deformation of Inconel718 at High Strain Rates and Temperatures

Publication: Journal of Aerospace Engineering
Volume 33, Issue 5

Abstract

In the cutting process of nickel-based superalloys, because of the high strain rate and cutting temperature, the cutting deformation is complex and there exist hardening and softening phenomena. Therefore, the present study developed a physically-based constitutive model, which represents the mechanical response of a material at a given microstructure in terms of dislocation glide to describe the deformation behaviors of Inconel718. The established model also describes evolution equations for internal variables characterizing the microstructure. The internal variables are related to the dislocation density. Comparisons between the experimental results and those predicted employing different models [a physically-based constitutive model has been established in the present work and Johnson–Cook (JC) constitutive model] indicate that the established model can accurately characterize the deformation behaviors for Inconel718 at high strain rates and temperatures.

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Data Availability Statement

All data, models, and code generated or used during the study appear in the published article.

Acknowledgments

This work is supported by National Natural Science Foundation of China (51605043, 51505038).

References

Babu, B., and L. E. Lindgren. 2013. “Dislocation density based model for plastic deformation and globularization of Ti-6Al-4V.” Int. J. Plast. 50 (50): 94–108. https://doi.org/10.1016/j.ijplas.2013.04.003.
Bergstrom, Y. 1983. “The plastic deformation of metals—A dislocation model and its applicability.” Rev. Powder Metall. Phys. Ceram. 2 (2): 79–265.
Brown, A. A., and D. J. Bammann. 2014. “Validation of a model for static and dynamic recrystallization in metals.” Int. J. Plast. 32–33 (May): 17–35. https://doi.org/10.1016/j.ijplas.2011.12.006.
Calamaz, M., D. Coupard, and F. Girot. 2008. “A new material model for 2D numerical simulation of serrated chip formation when machining titanium alloy Ti–6Al–4V.” Int. J. Mach. Tools Manuf. 48 (3–4): 275–288. https://doi.org/10.1016/j.ijmachtools.2007.10.014.
Chen, X. M., Y. C. Lin, D. X. Wen, J. L. Zhang, and M. He. 2014. “Dynamic recrystallization behavior of a typical nickel-based superalloy during hot deformation.” Mater. Des. 57 (May): 568–577. https://doi.org/10.1016/j.matdes.2013.12.072.
Dan, W., A. Svoboda, and L. E. Lindgren. 2012. “Modelling high strain rate phenomena in metal cutting simulation.” Model. Simul. Mater. Sci. Eng. 20 (8): 085006. https://doi.org/10.1088/0965-0393/20/8/085006.
Esmaeili, S., D. J. Lloyd, and W. J. Poole. 2003. “A yield strength model for the Al-Mg-Si-Cu alloy AA6111.” Acta Mater. 51 (8): 2243–2257. https://doi.org/10.1016/S1359-6454(03)00028-4.
Estrin, Y. 1998. “Dislocation theory based constitutive modelling: Foundations and applications.” J. Mater. Process. Tech. 80–81 (Aug): 33–39. https://doi.org/10.1016/S0924-0136(98)00208-8.
Fisk, M., and A. Lundbäck. 2012. “Simulation and validation of repair welding and heat treatment of an alloy718 plate.” Finite Elem. Anal. Des. 58 (Oct): 66–73. https://doi.org/10.1016/j.finel.2012.04.002.
Frost, H. J., and M. F. Ashby. 1982. Deformation-mechanism maps: The plasticity and creep of metals and ceramics. Oxford, UK: Pergamon Press.
Galindo-Nava, E. I., and P. E. J. Rivera-Díaz-Del-Castillo. 2013. “Thermostatistical modelling of hot deformation in FCC metals.” Int. J. Plast. 47 (8): 202–221. https://doi.org/10.1016/j.ijplas.2013.02.002.
Galindo-Nava, E. I., J. Sietsma, and P. E. J. Rivera-Díaz-Del-Castillo. 2012. “Dislocation annihilation in plastic deformation: II. Kocks–Mecking analysis.” Acta Mater. 60 (6–7): 2615–2624. https://doi.org/10.1016/j.actamat.2012.01.028.
Gao, C. Y., and L. C. Zhang. 2010. “A constitutive model for dynamic plasticity of FCC metals.” Mater. Sci. Eng. A 527 (13–14): 3138–3143. https://doi.org/10.1016/j.msea.2010.01.083.
Gao, D., Z. P. Hao, R. D. Han, Y. L. Chang, and J. N. Muguthu. 2011. “Study of cutting deformation in machining nickel-based alloy Inconel 718.” Int. J. Mach. Tools Manuf. 51 (6): 520–527. https://doi.org/10.1016/j.ijmachtools.2011.02.011.
Gauri, M., K. Nitin, K. G. Amit, R. Sujith, K. S. Swadesh, and Y. C. Lin. 2019. “Microstructure characteristics and comparative analysis of constitutive models for flow stress prediction of Inconel 718 alloy.” J. Mater. Eng. Perform. 28 (6): 3320–3331. https://doi.org/10.1007/s11665-019-04116-w.
Gauri M., K. Nitin, S. Rushabha, K. G. Amit, and K. S. Swadesh. 2018. “Analysis of flow stress behaviour of inconel alloys at elevated temperatures using constitutive model.” J. Phys. Conf. Ser. 1063 (1): 12–37. https://doi.org/10.1088/1742-6596/1063/1/012037.
Ghorbanpour, S., M. Zecevic, A. Kumar, M. Jahedi, and J. Bicknell. 2017. “A crystal plasticity model incorporating the effects of precipitates in superalloys: Application to tensile, compressive, and cyclic deformation of Inconel718.” Int. J. Plast. 99 (Dec): 162–185. https://doi.org/10.1016/j.ijplas.2017.09.006.
Guo, Y. B., Q. Wen, and K. A. Woodbury. 2006. “Dynamic material behaviour modelling using internal state variable plasticity and its application in hard machining simulations.” J. Manuf. Sci. Eng. ASME 128 (3): 749–759. https://doi.org/10.1115/1.2193549.
Hao, Z. P., J. N. Li, Y. H. Fan, and F. F. Ji. 2019. “Study on constitutive model and deformation mechanism in high speed cutting Inconel718.” Arch. Civ. Mech. Eng. 19 (2): 439–452. https://doi.org/10.1016/j.acme.2018.11.009.
Holt, D. L. 1970. “Dislocation cell formation in metals.” J. Appl. Phys. 41 (8): 3197–3201. https://doi.org/10.1063/1.1659399.
Jafarian, F., D. Umbrello, and B. Jabbaripour. 2016. “Identification of new material model for machining simulation of Inconel 718 alloy and the effect of tool edge geometry on microstructure changes.” Simul. Model. Pract. Theory 66 (Aug): 273–284. https://doi.org/10.1016/j.simpat.2016.05.001.
Johnson, G. R., and W. H. Cook. 1985. “Fracture characteristics of three metals subjected to various strains, strain rates, temperatures and pressures.” Eng. Fract. Mech. 21 (1): 31–48. https://doi.org/10.1016/0013-7944(85)90052-9.
Kocks, U. F. 1966. “A statistical theory of flow stress and work-hardening.” Philos. Mag. 13 (123): 541–566. https://doi.org/10.1080/14786436608212647.
Kocks, U. F. 1976. “Laws for work-hardening and low-temperature creep.” J. Eng. Mater. Tech. T. ASME 98 (1): 76–85. https://doi.org/10.1115/1.3443340.
Kocks, U. F., A. S. Argon, and M. F. Ashby. 1975. Thermodynamics and kinetics of slip. Oxford, UK: Pergamon Press.
Lin, Y. C., X. M. Chen, D. X. Wen, and M. S. Chen. 2014. “A physically-based constitutive model for a typical nickel-based superalloy.” Comp. Mater. Sci. 83 (Feb): 282–289. https://doi.org/10.1016/j.commatsci.2013.11.003.
Lin, Y. C., L. Kuo-Kuo, L. Hong-Bin, J. Chen, X. M. Chen, and D. X. Wen. 2015a. “New constitutive model for high-temperature deformation behavior of Inconel 718 superalloy.” Mater. Des. 74 (Jun): 108–118. https://doi.org/10.1016/j.matdes.2015.03.001.
Lin, Y. C., F. Q. Nong, X. M. Chen, D. D. Chen, and M. S. Chen. 2017. “Microstructural evolution and constitutive models to predict hot deformation behaviors of a nickel-based superalloy.” Vacuum 137 (Mar): 104–114. https://doi.org/10.1016/j.vacuum.2016.12.022.
Lin, Y. C., D. X. Wen, Y. C. Huang, X. M. Chen, and X. W. Chen. 2015b. “A unified physically based constitutive model for describing strain hardening effect and dynamic recovery behavior of a Ni-based superalloy.” J. Mater. Res. 30 (24): 3784–3794. https://doi.org/10.1557/jmr.2015.368.
Lindgren, L. E., K. Domkin, and S. Hansson. 2008. “Dislocations, vacancies and solute diffusion in physical based plasticity model for AISI 316L.” Mech. Mater. 40 (11): 907–919. https://doi.org/10.1016/j.mechmat.2008.05.005.
Liu, R., M. Salahshoor, S. N. Melkote, and T. Marusich. 2014. “A unified internal state variable material model for inelastic deformation and microstructure evolution in SS304.” Mater. Sci. Eng. A 594 (Jan): 352–363. https://doi.org/10.1016/j.msea.2013.11.071.
Mecking, H., and U. F. Kocks. 1981. “Kinetics of flow and strain-hardening.” Acta Metall. 29 (11): 1865–1875. https://doi.org/10.1016/0001-6160(81)90112-7.
Ozel, T., and E. Zeren. 2004. “Determination of work material flow stress and friction for FEA of machining using orthogonal cutting tests.” J. Mater. Process. Tech. 153 (1–3): 1019–1025. https://doi.org/10.1016/j.jmatprotec.2004.04.162.

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Go to Journal of Aerospace Engineering
Journal of Aerospace Engineering
Volume 33Issue 5September 2020

History

Received: Mar 3, 2019
Accepted: Mar 9, 2020
Published online: May 31, 2020
Published in print: Sep 1, 2020
Discussion open until: Oct 31, 2020

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Authors

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ZhaoPeng Hao, Ph.D. [email protected]
Postdoctoral, School of Mechanical Science and Engineering, Jilin Univ., ChangChun 130012, China; Associate Professor, School of Mechatronic Engineering, ChangChun Univ. of Technology, ChangChun 130012, China. Email: [email protected]
XiaoQin Zhou, Ph.D. [email protected]
Professor, School of Mechanical Science and Engineering, Jilin Univ., ChangChun 130012, China (corresponding author). Email: [email protected]
YiHang Fan, Ph.D. [email protected]
Associate Professor, School of Mechatronic Engineering, ChangChun Univ. of Technology, ChangChun 130012, China. Email: [email protected]
JieQiong Lin, Ph.D. [email protected]
Professor, School of Mechatronic Engineering, ChangChun Univ. of Technology, ChangChun 130012, China. Email: [email protected]

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