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The inherent strain rate method for thermo-mechanical simulation of directed energy deposition additive manufacturing. (English) Zbl 07772300

Summary: To reduce the computational time of thermo-mechanical simulation of additive manufacturing by directed energy deposition, a new method is proposed, consisting in linearizing the transient standard thermomechanical simulation, by taking advantage of the strong concentration of strain rates around the deposition zone. In practice, a predictor/corrector algorithm is developed. The predictor step consists of a linearized mechanical resolution, which is obtained by considering the scalar generalized viscoplastic strain rate as an inherent strain rate, deduced from resolutions performed during previous time steps. The corrector step consists of a local (e.g., in each finite element) reconstruction of the effective stress field by solving a local nonlinear scalar equation. This predictor/corrector strategy is employed to deal with the dynamic evolution of strain rates and stress, during the distinct stages of the process: deposition, inter-layer dwell time, and final cooling. With the proposed method, a time gain of around 5 is obtained for both a single wall and a curved turbine blade mock-up, while the results (distortion and stress) of the full nonlinear thermomechanical resolution are replicated with an excellent accuracy. This makes the new inherent strain rate method a very promising tool for additive manufacturing simulation.
© 2023 John Wiley & Sons, Ltd.

MSC:

74S05 Finite element methods applied to problems in solid mechanics
74F05 Thermal effects in solid mechanics
74C10 Small-strain, rate-dependent theories of plasticity (including theories of viscoplasticity)
Full Text: DOI

References:

[1] KhairallahSA, AndersonAT, RubenchikA, KingWE. Laser powder‐bed fusion additive manufacturing: physics of complex melt flow and formation mechanisms of pores, spatter, and denudation zones. Acta Mater. 2016;108:36‐45. doi:10.1016/j.actamat.2016.02.014
[2] BayatM, ThankiA, MohantyS, et al. Keyhole‐induced porosities in laser‐based powder bed fusion (L‐PBF) of Ti6Al4V: high‐fidelity modelling and experimental validation. Addit Manuf. 2019;30:100835. doi:10.1016/j.addma.2019.100835
[3] QuevaA, GuillemotG, MoriconiC, MettonC, BelletM. Numerical study of the impact of vaporisation on melt pool dynamics in laser powder bed fusion‐application to IN718 and Ti‐6Al‐4V. Addit Manuf. 2020;35:101249. doi:10.1016/j.addma.2020.101249
[4] HeigelJC, MichalerisP, ReutzelEW. Thermo‐mechanical model development and validation of directed energy deposition additive manufacturing of Ti-6Al-4V. Addit Manuf. 2015;5:9‐19. doi:10.1016/j.addma.2014.10.003
[5] ChiumentiM, NeivaE, SalsiE, et al. Numerical modelling and experimental validation in selective laser melting. Addit Manuf. 2017;18:171‐185. doi:10.1016/j.addma.2017.09.002
[6] ZhangY, ChenQ, GuillemotG, GandinCA, BelletM. Numerical modelling of fluid and solid thermomechanics in additive manufacturing by powder bed fusion: continuum and level set formulation applied to track and part scale simulations. C R Mecanique. 2018;346:1055‐1071. doi:10.1016/j.crme.2018.08.008
[7] MichalerisP. Modeling metal deposition in heat transfer analyses of additive manufacturing processes. Finite Elements Anal Design. 2014;86:51‐60. doi:10.1016/j.finel.2014.04.003
[8] ZhangY, GandinCA, BelletM. Finite element modeling of powder bed fusion at part scale by a super‐layer deposition method based on level set and mesh adaptation. J Manuf Sci Eng. 2022;144:051001‐1‐051001‐15. doi:10.1115/1.4052386
[9] UedaY, FukudaK, NakachoK, EndoS. A new measuring method of residual stresses with the aid of finite element method and reliability of estimated values. J Soc Naval Architect Japan. 1975;1975:499‐507. doi:10.2534/jjasnaoe1968.1975.138_499
[10] KellerN, PloshikhinV. New method for fast predictions of residual stress and distortion of AM parts. Proceedings of the 25th Annual International Solid Freeform Fabrication Symposium. University of Texas; 2014:1229‐1237. https://hdl.handle.net/2152/89269
[11] KeumoTJ. Numerical Simulation of DED Additive Manufacturing: Full Thermomechanical Resolution and Reduced Models of Inherent Strain Type, PhD Thesis. PSL University; 2022. https://cloud.minesparis.psl.eu/index.php/s/gKse1qEdfYFVQcg
[12] BieglerM, GrafB, RethmeierM. In‐situ distortions in LMD additive manufacturing walls can be measured with digital image correlation and predicted using numerical simulations. Addit Manuf. 2018;20:101‐110. doi:10.1016/j.addma.2017.12.007
[13] KimCS. Thermophysical Properties of Stainless Steels, Technical Report. Argonne National Laboratory; 1979. doi:10.2172/4152287
[14] MuranskyO, SmithMC, BendeichPJ, EdwardsL. Validated numerical analysis of residual stresses in safety relief valve (SRV) nozzle mock‐ups. Comput Mater Sci. 2011;50:2203‐2215. doi:10.1016/j.commatsci.2011.02.031
[15] BieglerM, MarkoA, GrafB, RethmeierM. Finite element analysis of in‐situ distortion and bulging for an arbitrarily curved additive manufacturing directed energy deposition geometry. Addit Manuf. 2018;24:264‐272. doi:10.1016/j.addma.2018.10.006
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