The present paper deals with the consideration of the rate-sensitivity mechanical behavior of metallic materials, in the framework of mean field and full field homogenization approaches. We re-examine the possibility of describing properly this rate sensitivity with a simple and widely used power law expressed at the level of the slip system, and we propose a methodology to accelerate the identification of the global material constitutive law for Finite Element (FE) simulations. For such an aim, simulations of a tensile test are conducted, using a simple homogenization model (the Taylor one, used in a relaxed constraint form) and an FE code (Abaqus), both using the same single-crystal rate-dependent constitutive law. It is shown that, provided that the identification of this law is performed with care and well adapted to the examined case (rate-sensitive or insensitive materials, static and/or dynamic ranges), the simple power law can be used to simulate the macroscopic behavior of polycrystalline aggregates in a wide range of strain rate (including both static and dynamic regimes) and strain-rate sensitivity values (up the rate-insensitive limit).
Revised:
Accepted:
Online First:
Published online:
Yann Charles 1; Chunping Zhang 2; Monique Gaspérini 1; Brigitte Bacroix 3
CC-BY 4.0
@article{CRMECA_2020__348_10-11_807_0,
author = {Yann Charles and Chunping Zhang and Monique Gasp\'erini and Brigitte Bacroix},
title = {Identification methodology of a rate-sensitive constitutive law with mean field and full field modeling approaches for polycrystalline materials},
journal = {Comptes Rendus. M\'ecanique},
pages = {807--826},
publisher = {Acad\'emie des sciences, Paris},
volume = {348},
number = {10-11},
year = {2020},
doi = {10.5802/crmeca.56},
language = {en},
}
TY - JOUR AU - Yann Charles AU - Chunping Zhang AU - Monique Gaspérini AU - Brigitte Bacroix TI - Identification methodology of a rate-sensitive constitutive law with mean field and full field modeling approaches for polycrystalline materials JO - Comptes Rendus. Mécanique PY - 2020 SP - 807 EP - 826 VL - 348 IS - 10-11 PB - Académie des sciences, Paris DO - 10.5802/crmeca.56 LA - en ID - CRMECA_2020__348_10-11_807_0 ER -
%0 Journal Article %A Yann Charles %A Chunping Zhang %A Monique Gaspérini %A Brigitte Bacroix %T Identification methodology of a rate-sensitive constitutive law with mean field and full field modeling approaches for polycrystalline materials %J Comptes Rendus. Mécanique %D 2020 %P 807-826 %V 348 %N 10-11 %I Académie des sciences, Paris %R 10.5802/crmeca.56 %G en %F CRMECA_2020__348_10-11_807_0
Yann Charles; Chunping Zhang; Monique Gaspérini; Brigitte Bacroix. Identification methodology of a rate-sensitive constitutive law with mean field and full field modeling approaches for polycrystalline materials. Comptes Rendus. Mécanique, Volume 348 (2020) no. 10-11, pp. 807-826. doi : 10.5802/crmeca.56. https://comptes-rendus.academie-sciences.fr/mecanique/articles/10.5802/crmeca.56/
[1] Effect of rate sensitivity on slip system activity and lattice rotation, Acta Metall., Volume 36 (1988) no. 8, pp. 1961-1970 | DOI
[2] Effect of rate sensitivity on the stability of torsion textures, Acta Metall., Volume 36 (1988) no. 12, pp. 3077-3091 | DOI
[3] The mechanism of plastic deformation of crystals. Part I. Theoretical, Proc. R. Soc. Lond. A, Volume 145 (1934) no. 855, pp. 362-387 | Zbl
[4] Self-consistent modelling of the mechanical behaviour of viscoplastic polycrystals incorporating intragranular field fluctuations, Phil. Mag., Volume 87 (2007) no. 28, pp. 4287-4322 | DOI
[5] Bounds and self-consistent estimates for creep of polycrystalline materials, Proc. R. Soc. Lond. A, Volume 348 (1976), pp. 101-127 | Zbl
[6] Modeling transients in the mechanical response of copper due to strain path changes, Int. J. Plast., Volume 23 (2007) no. 4, pp. 640-664 | DOI | Zbl
[7] Modelling of microstructural effects on the mechanical behavior of ultrafine-grained Nickel using crystal plasticity finite element model, Int. J. Eng. Sci., Volume 94 (2015), pp. 212-225 | DOI
[8] Investigation of the deformation behavior of Fe–3%Si sheet metal with large grains via crystal plasticity and finite-element modeling, Comput. Mater. Sci., Volume 52 (2012) no. 1, pp. 25-32 | DOI
[9] Strain rate effect of high purity aluminum single crystals: experiments and simulations, Int. J. Plast., Volume 67 (2015), pp. 39-52 | DOI
[10] Crystal plasticity FE modeling of Ti alloys for a range of strain-rates. Part I: a unified constitutive model and flow rule, Int. J. Plast., Volume 87 (2016), pp. 48-68 | DOI
[11] Dislocation-dynamics based crystal plasticity law for the low- and high-temperature deformation regimes of bcc crystal, Acta Mater., Volume 61 (2013) no. 16, pp. 6178-6190 | DOI
[12] Dislocation density evolution and interactions in crystalline materials, Acta Mater., Volume 59 (2011) no. 20, pp. 7695-7702 | DOI
[13] Crystal Plast, J. Appl. Mech., Volume 50 (1983), pp. 921-934 | DOI | Zbl
[14] Constitutive analysis of elastic-plastic crystals at arbitrary strain, J. Mech. Phys. Solids, Volume 20 (1972), pp. 401-413 | DOI | Zbl
[15] A comparative study of stress update algorithms for rate-independent and rate-dependent crystal plasticity, Int. J. Numer. Methods Eng., Volume 50 (2001), pp. 273-298 | DOI | Zbl
[16] Influence of strain-rate sensitivity on necking under uniaxial tension, Acta Metall., Volume 25 (1977) no. 8, pp. 839-846 | DOI
[17] On the interplay between strain rate and strain rate sensitivity on flow localization in the dynamic expansion of ductile rings, Int. J. Solids Struct., Volume 49 (2012) no. 3–4, pp. 481-491 | DOI
[18] Effects of material properties and strain rate on the fragmentation of brittle materials, Int. J. Fract., Volume 139 (2006), pp. 169-196 | DOI | Zbl
[19] Overview no. 42 Texture development and strain hardening in rate dependent polycrystals, Acta Metall., Volume 33 (1985) no. 6, pp. 923-953 | DOI
[20] Pressure-shear impact and the dynamic viscoplastic response of metals, Mech. Mater., Volume 4 (1985) no. 3, pp. 375-385 | DOI
[21] Mechanical behavior, deformation and damage mechanisms of Mg–RY–Zn alloy under high strain rate, Mater. Sci. Eng. A, Volume 651 (2016), pp. 336-340 | DOI
[22] Effect of symmetric and asymmetric rolling on the mechanical properties of AA5182, Mater. Design, Volume 100 (2016), pp. 151-156 | DOI
[23] The variation of strain rate sensitivity exponent and strain hardening exponent in isothermal compression of Ti–6Al–4V alloy, Mater. Design, Volume 31 (2010) no. 2, pp. 741-748 | DOI
[24] The flow behavior and the deformation mechanisms of Ti–6Al–2Zr–2Sn–2Mo–1.5Cr–2Nb alloy during isothermal compression, J. Alloys Compd., Volume 667 (2016), pp. 44-52 | DOI
[25] Opposite grain size dependence of strain rate sensitivity of copper at low vs high strain rates, Mater. Sci. Eng. A, Volume 738 (2018), pp. 430-438 | DOI
[26] Experimental analysis and modelling of the strain-rate sensitivity of sheet niobium, EPJ Web Conf., Volume 183 (2018), 01014 | DOI
[27] A thermo-viscoplastic constitutive model for FCC metals with application to OFHC copper, Int. J. Mech. Sci., Volume 52 (2010) no. 2, pp. 120-135 | DOI
[28] Dynamical behaviour and microstructural evolution of a nitrogen-alloyed austenitic stainless steel, Mater. Sci. Eng. A, Volume 480 (2008) no. 1, pp. 89-95 | DOI
[29] A numerical procedure enabling accurate descriptions of strain rate-sensitive flow of polycrystals within crystal visco-plasticity theory, Comput. Meth. Appl. Mech. Eng., Volume 308 (2016), pp. 468-482 | DOI | MR | Zbl
[30] A polycrystal plasticity model based on the mechanical threshold, Int. J. Plast., Volume 18 (2002) no. 5, pp. 715-741 | DOI | Zbl
[31] A rate-independent crystal plasticity model with a smooth elastic–plastic transition and no slip indeterminacy, Eur. J. Mech. A Solids, Volume 55 (2016), pp. 278-288 | DOI | MR | Zbl
[32] A new visco-plastic self-consistent formulation implicit in dislocation-based hardening within implicit finite elements: application to high strain rate and impact deformation of tantalum, Comput. Meth. Appl. Mech. Eng., Volume 341 (2018), pp. 888-916 | DOI | MR | Zbl
[33] A User-Material Subroutine Incorporating Single Crystal Plasticity in the ABAQUS Finite Element Program, 1991 (Unknown)
[34] Crystal plasticity finite element simulation of NiTi shape memory alloy based on representative volume element, Met. Mater. Int., Volume 23 (2017), p. 1075 | DOI
[35] An analysis of nonuniform and localized deformation in ductile single crystals, Acta Metall., Volume 30 (1982) no. 6, pp. 1087-1119 | DOI
[36] Micromechanics of crystals and polycrystals, Adv. Appl. Mech. (W. H. John; Y. W. Theodore, eds.), Elsevier, Cambridge, MA, USA, 1983, pp. 1-115
[37] On plastic potentials for anisotropic metals and their derivation from the texture function, Acta Mech., Volume 88 (1991) no. 3–4, pp. 219-243 | DOI | Zbl
[38] Zur Ableitung einer Filebedingung, Z. Vereines Deutscher Ingenieure, Volume 72 (1928), pp. 734-736
[39] Plastiche Eigenschaften von Kristallen und Metallischen Werkstoffen, Springer, Berlin, 1941 | Zbl
[40] The influence of the cube component on the mechanical behaviour of copper polycrystalline samples in tension, Acta Mater., Volume 160 (2018), pp. 121-136 | DOI
[41] Large-scale 3D random polycrystals for the finite element method: Generation, meshing and remeshing, Comput. Meth. Appl. Mech. Eng., Volume 200 (2011) no. 17, pp. 1729-1745 | DOI | Zbl
[42] Abaqus Scripting User’s Manual, Dassault Système, Providence, Rhode Island, USA, 2011
[43] Estimation of the size of the RVE for isotropic copper polycrystals by using elastic-plastic finite element homogenisation, Comput. Mater. Sci., Volume 48 (2010) no. 3, pp. 447-455 | DOI
[44] Modelling the competition between interface debonding and particle fracture using a plastic strain dependent cohesive zone, Eng. Fract. Mech., Volume 77 (2010) no. 4, pp. 705-718 | DOI
[45] Mechanical Behaviour of Materials, Cambridge University Press, New York, NY, USA, 2010
[46] High-temperature tensile and creep data for Inconel 600, 304 stainless steel and SA106B carbon steel, Nucl. Eng. Design, Volume 148 (1994) no. 2, pp. 351-363 | DOI
[47] Combining single-and poly-crystalline measurements for identification of crystal plasticity parameters: application to austenitic stainless steel, Crystals, Volume 7 (2017), p. 181 | DOI
[48] Investigation of primary static recrystallization in a NiTiFe shape memory alloy subjected to cold canning compression using the coupling crystal plasticity finite element method with cellular automaton, Model. Simul. Mater. Sci. Eng., Volume 25 (2017), 075008 | DOI
[49] A random field-based method to estimate convergence of apparent properties in computational homogenization, Comput. Meth. Appl. Mech. Eng., Volume 330 (2018), pp. 253-270 | DOI | MR | Zbl
[50] Multiscale modeling of polycrystalline NiTi shape memory alloy under various plastic deformation conditions by coupling microstructure evolution and macroscopic mechanical response, Mater. Design, Volume 10 (2017), p. 1172
[51] On the plastic driving force of grain boundary migration: a fully coupled phase field and crystal plasticity model, Comput. Mater. Sci., Volume 128 (2017), pp. 320-330 | DOI
[52] Investigation of the elastoplastic behavior of FCC polycrytals using a FFT numerical scheme, Roumanian J. Techn. Sci. – Appl. Mech., Volume 60 (2015), pp. 5-23 | MR
[53] Flow localization in OFHC Cu and 99.99% Al, Acta Metall., Volume 33 (1985) no. 4, pp. 719-730 | DOI
[54] Work hardening and rate sensitivity material coefficients for OFHC Cu and 99.99% Al, Acta Metall., Volume 32 (1984), pp. 1655-1668 | DOI
[55] Constitutive modelling of the high strain rate behaviour of interstitial-free steel, Int. J. Plast., Volume 20 (2004), pp. 915-936 | DOI | Zbl
[56] Dynamic Plasticity of Metals (U. CISM, ed.), Springer, Berlin, 1970 | DOI
Cited by Sources:
Comments - Policy