Examination of intrinsic and extrinsic size effect in thin specimens through crystal plasticity frameworks

Examination of intrinsic and extrinsic size effect in thin specimens through crystal plasticity frameworks

GÜNAY Enes, BULUT Orhun, YALÇINKAYA Tuncay

download PDF

Abstract. Manufacturing devices at the microscale requires a precise analysis for desirable mechanical behavior. As the products of microscale forming operations have a comparable thickness dimension with grain size, the ratio between thickness and grain size (t/d) becomes an important aspect of mechanical behavior. A number of experimental studies investigated this phenomenon and have shown the influence of the t/d ratio in micron-sized sheet specimens. On the other hand, the computational studies addressing this phenomenon employing micromechanics-based models are quite restricted. The current study aims to investigate the t/d ratio effect through finite element method (FEM) simulations with both local and nonlocal crystal plasticity frameworks. The numerical analyses with the local crystal plasticity framework are obtained by utilizing two different methodologies, where the initial slip resistance is taken as constant or modified using a subroutine based on grain size effects and slip system interactions (see [1]).

Keywords
Crystal Plasticity, Size Effect, t/d Ratio Influence

Published online 4/19/2023, 10 pages
Copyright © 2023 by the author(s)
Published under license by Materials Research Forum LLC., Millersville PA, USA

Citation: GÜNAY Enes, BULUT Orhun, YALÇINKAYA Tuncay, Examination of intrinsic and extrinsic size effect in thin specimens through crystal plasticity frameworks, Materials Research Proceedings, Vol. 28, pp 1471-1480, 2023

DOI: https://doi.org/10.21741/9781644902479-159

The article was published as article 159 of the book Material Forming

Content from this work may be used under the terms of the Creative Commons Attribution 3.0 license. Any further distribution of this work must maintain attribution to the author(s) and the title of the work, journal citation and DOI.

References
[1] D. Agius, A. Kareer, A. Al Mamun, C. Truman, D.M. Collins, M. Mostafavi, D. Knowles, A crystal plasticity model that accounts for grain size effects and slip system interactions on the deformation of austenitic stainless steels, Int. J. Plast. 152 (2022) 103249. https://doi.org/10.1016/j.ijplas.2022.103249
[2] T. Yalçinkaya, İ. Özdemir, I. Simonovski, Micromechanical modeling of intrinsic and specimen size effects in microforming, Int. J. Mater. Form. 11 (2018) 729-741. https://doi.org/10.1007/s12289-017-1390-3
[3] H.S. Kim, Y.S. Lee, Size dependence of flow stress and plastic behaviour in microforming of polycrystalline metallic materials, Proc. Inst. Mech. Eng., Part C: J. Mech. Eng. Sci. 226 (2012) 403-412. https://doi.org/10.1177/0954406211414473
[4] P.J.M. Janssen, T.H. De Keijser, M.G.D. Geers, An experimental assessment of grain size effects in the uniaxial straining of thin Al sheet with a few grains across the thickness, Mater. Sci. Eng. A 419 (2006) 238-248. https://doi.org/10.1016/j.msea.2005.12.029
[5] E. Hug, C. Keller, Intrinsic effects due to the reduction of thickness on the mechanical behavior of nickel polycrystals, Metall. Mater. Trans. A 41 (2010) 2498-2506. https://doi.org/10.1007/s11661-010-0286-3
[6] C. Keller, E. Hug, R. Retoux, X. Feaugas, TEM study of dislocation patterns in near-surface and core regions of deformed nickel polycrystals with few grains across the cross section, Mech. Mater. 42 (2010) 44-54. https://doi.org/10.1016/j.mechmat.2009.09.002
[7] O. Bulut, S.S. Acar, T. Yalçinkaya, The influence of thickness/grain size ratio in microforming through crystal plasticity, Procedia Struct. Integrity 35 (2022) 228-236. https://doi.org/10.1016/j.prostr.2021.12.069
[8] T. Yalçinkaya, Strain gradient crystal plasticity: Thermodynamics and implementation, in: G. Z. Voyiadjis (Eds.), Handbook of Nonlocal Continuum Mechanics for Materials and Structures, Springer, London/Berlin, 2017, pp.1001-1033.
[9] T. Yalçinkaya, İ. Özdemir, A.O. Firat, Inter-granular cracking through strain gradient crystal plasticity and cohesive zone modeling approaches, Theor. Appl. Fract. Mech. 103 (2019) 102306. https://doi.org/10.1016/j.tafmec.2019.102306
[10] T. Yalçinkaya, İ.T. Tandoğan, İ. Özdemir, Void growth based inter-granular ductile fracture in strain gradient polycrystalline plasticity, Int. J. Plast. 147 (2021) 103123. https://doi.org/10.1016/j.ijplas.2021.103123
[11] C.S. Han, H. Gao, Y. Huang, W.D. Nix, Mechanism-based strain gradient crystal plasticity-I, Theory, J. Mech. Phys. Solids 53 (2005) 1188-1203. https://doi.org/10.1016/j.jmps.2004.08.008
[12] R. Quey, P. Dawson, F. Barbe, Large-scale 3D random polycrystals for the finite element method: Generation, meshing and remeshing, Comput. Methods Appl. Mech. Eng. 200 (2011) 1729–1745. https://doi.org/10.1016/j.cma.2011.01.002
[13] Y. Huang, A user-material subroutine incorporating single crystal plasticity in the ABAQUS finite element program, Mech. Report 178 (1991)
[14] D. Peirce, R.J. Asaro, A. Needleman, An analysis of nonuniform and localized deformation in ductile single crystals, Acta Metall. 30 (1982) 1087–1119. https://doi.org/10.1016/0001-6160(82)90005-0
[15] E.P. Busso, F.T. Meissonnier, N.P. O’dowd, Gradient-dependent deformation of two-phase single crystals, J. Mech. Phys. Solids 48 (2000) 2333-2361. https://doi.org/10.1016/S0022-5096(00)00006-5
[16] H. Granum, V. Aune, T. Børvik, O.S. Hopperstad, Effect of heat-treatment on the structural response of blast-loaded aluminium plates with pre-cut slits, Int. J. Impact Eng. 132 (2019) 103306. https://doi.org/10.1016/j.ijimpeng.2019.05.020
[17]E. Nakamachi, C. Xie, H. Morimoto, K. Morita, N. Yokoyama, Formability assessment of FCC aluminum alloy sheet by using elastic crystalline viscoplastic finite element analysis, Int. J. Plast. 18 (2002) 617–632. https://doi.org/10.1016/S0749-6419(01)00052-3
[18] H. Mughrabi, The α-factor in the Taylor flow-stress law in monotonic, cyclic and quasi-stationary deformations: Dependence on slip mode, dislocation arrangement and density, Curr. Opin. Solid State Mater. Sci. 20 (2016) 411-420. https://doi.org/10.1016/j.cossms.2016.07.001
[19] O. Engler, C.D. Marioara, Y. Aruga, M. Kozuka, O.R. Myhr, Effect of natural ageing or pre-ageing on the evolution of precipitate structure and strength during age hardening of Al–Mg–Si alloy AA 6016, Mater. Sci. Eng. A 759 (2019) 520-529. https://doi.org/10.1016/j.msea.2019.05.073
[20] A. Arsenlis, D.M. Parks, Crystallographic aspects of geometrically-necessary and statistically-stored dislocation density, Acta Mater. 47 (1999) 1597-1611. https://doi.org/10.1016/S1359-6454(99)00020-8