Abstract
This chapter concerns the micromechanical behavior modeling of a pure zinc polycrystal. An inverse optimization strategy was developed to determine plastic deformation properties from instrumented indentation tests performed on individual grains of cold-rolled polycrystalline sheets. Nanoindentation tests have been performed on grains using a spherical–conical diamond indenter, providing load-penetration depth curves. The crystalline orientation of those grains has been determined using an EBSD analysis. Furthermore, a crystal plasticity model has been implemented in the finite element code Abaqus using a user material subroutine. To identify the constitutive model parameters, the inverse identification problem has been solved using the MOGA-II genetic algorithm coupled with a finite element analysis of the nanoindentation test. In a first approach, the identification procedure used the load-displacement curves issued from the indentation performed on a grain of given crystalline orientation. A good agreement is achieved between experimental and numerical results. This constitutive model has been validated by simulating the indentation response of grains of distinct crystalline orientations, involving different slip systems activity rates.
This is a preview of subscription content, log in via an institution.
Buying options
Tax calculation will be finalised at checkout
Purchases are for personal use only
Learn about institutional subscriptionsReferences
American Galvanizers Association website. https://www.galvanizeit.org
Takuda H, Yoshii T, Hatta N (1999) Finite-element analysis of the formability of a magnesium-based alloy AZ31 sheet. J Mater Process Technol 89–90:135–140
Kuwabara T, Katami C, Kikuchi M, Shindo T, Ohwue T (2001) Cup drawing of pure titanium sheet-finite element analysis and experimental validation. In: Proceedings of the seventh international conference on numerical methods in industrial forming processes, Toyohashi, Japan, 18–20 June 2001, p 781
Cazacu O, Barlat F (2004) A criterion for description of anisotropy and yield differential effects in pressure-insensitive metals. Int J Plast 20:2027–2045
Cazacu O, Plunkett B, Barlat F (2006) Orthotropic yield criterion for hexagonal closed packed metals. Int J Plast 22:1171–1194
Plunkett B, Lebensohn RA, Cazacu O, Barlat F (2006) Anisotropic yield function of hexagonal materials taking into account texture development and anisotropic hardening. Acta Mater 54:4159–4169
Nixon ME, Cazacu O, Lebensohn RA (2010) Anisotropic response of high-purity-titanium: experimental characterization and constitutive modeling. Int J Plast 26:516–532
Khan SK, Yu S, Liu H (2012) Deformation induced anisotropic responses of Ti–6Al–4V alloy. Part II: A strain rate and temperature dependent anisotropic yield function. Int J Plast 38:14–26
Yoon JH, Cazacu O, Mishra RK (2014) Constitutive modeling of AZ31 sheet alloy with application to axial crushing. Mater Sci Eng A 565:203–212
Peirce D, Asaro RJ, Needleman A (1983) Material rate dependence and localized deformation in crystalline solids. Acta Metall 31:1951–1976
Taylor GI (1938) Plastic strains in metals. J Inst Metals 62:307–324
Yoo MH, Wei CT (1966) Application of anisotropic elasticity theory to the plastic deformation in hexagonal zinc. Phil Mag 13:759–775
Yoo MH, Lee JK (1991) Deformation twinning in HCP metals and alloys. Phil Mag 63:987–1000
Huang Y (1991) A user-material subroutine incorporating single crystal plasticity in the Abaqus finite element program. Mech report 178, Harvard University
Kysar JW, Hall P (1991) Addendum to “a user-material subroutine incorporating single crystal plasticity in the Abaqus finite element program, Y. Huang, Mech. Report 178, Harvard University
Nguyen LT (2014) Contribution à l’étude des mécanismes de plasticité dans les hexagonaux compacts lors de l’essai de nanoindentation: Application au Zinc. PhD thesis, University of Reims Champagne-Ardenne
Liu Y, Wang B, Yoshino M, Roy S, Lu H, Komanduri R (2005) Combined numerical simulation and nanoindentation for determining mechanical properties of single crystal copper at mesoscale. J Mech Phys Solids 53:2718–2741
Liu Y, Varghese S, Ma J, Yoshino M, Lu H, Komanduri R (2008) Orientation effects in nanoindentation of single crystal copper. Int J Plast 24:1990–2015
Liu M, Lu C, Tieu AK (2015) Crystal plasticity finite element method modelling of indentation size effect. Int J Solids Struct 54:42–49
Bhattacharya AK, Nix WD (1988) Finite element simulation of indentation experiments. Int J Solids Struct 24:881–891
Tromans D (2011) Elastic anisotropy of HCP metal crystals and polycrystals. Int J Res Rev Appl Sci 6:462–483
Philippe MJ, Serghat M, Houtte PV, Esling C (1994) Modelling of texture evolution for materials of hexagonal symmetry: I—Application to zinc alloys. Acta Metall Mater 42:239–250
Fundenberger JJ, Philippe MJ, Wagner F, Esling C (1997) Modelling and prediction properties for materials with hexagonal symmetry (zinc, titanium and zirconium alloys). Acta Mater 45:4041–4055
Van TP, Jöchen K, Böhlke T (2012) Simulation of sheet metal forming incorporating EBSD data. J Mater Process Technol 212:2659–2668
Author information
Authors and Affiliations
Corresponding author
Editor information
Editors and Affiliations
Rights and permissions
Copyright information
© 2018 Springer Nature Singapore Pte Ltd.
About this paper
Cite this paper
Nguyen, N.P.T., Abbès, F., Abbès, B., Li, Y. (2018). Orientation-Dependent Response of Pure Zinc Grains Under Instrumented Indentation: Micromechanical Modeling. In: Nguyen-Xuan, H., Phung-Van, P., Rabczuk, T. (eds) Proceedings of the International Conference on Advances in Computational Mechanics 2017. ACOME 2017. Lecture Notes in Mechanical Engineering. Springer, Singapore. https://doi.org/10.1007/978-981-10-7149-2_11
Download citation
DOI: https://doi.org/10.1007/978-981-10-7149-2_11
Published:
Publisher Name: Springer, Singapore
Print ISBN: 978-981-10-7148-5
Online ISBN: 978-981-10-7149-2
eBook Packages: EngineeringEngineering (R0)