skip to main content
OSTI.GOV title logo U.S. Department of Energy
Office of Scientific and Technical Information

Title: Experimental verification of a crystal plasticity-based simulation framework for predicting microstructure and geometric shape changes: Application to bending and Taylor impact testing of Zr

Journal Article · · International Journal of Impact Engineering

This paper is concerned with experimental verification of a recently developed multi-scale simulation framework for plastic deformation of metallic materials from quasi-static to impact deformation conditions. The framework is a visco-plastic self-consistent (VPSC) polycrystalline model embedded in an implicit finite element method (FE-VPSC) to provide a microstructure-sensitive constitutive response at each material point. Each material point of the FEM model is a polycrystalline aggregate with crystallographic deformation mechanisms operating at the single crystal scale with their evolving activity based on a dislocation density-based hardening law and texture. Four beams and three cylinders machined in different orientations from a textured plate of high-purity zirconium are tested quasi-statically in 4-point bending and at speeds of 100 m/s, 170 m/s and 243 m/s during Taylor impact tests, respectively. The variation in dimensional changes resulting from different sample orientations in the plate with respect to loading directions is measured for each sample. Moreover, texture and twinning characterization is performed using electron backscattered diffraction (EBSD). The deformation processes and underlying evolution of microstructure are successfully simulated using the FE-VPSC framework. In doing so, the model parameters are optimized and validated across a broad range of strain rates and temperatures. Simulation results in terms of geometrical changes and microstructural evolution are compared with the experimental measurements. The model predicts anisotropic material flow resulting from the hard-to-deform crystallographic directions, the development of gradients in texture and twinning through the geometries, tension–compression asymmetry, as well as the extent of plasticity under impact.

Research Organization:
Los Alamos National Lab. (LANL), Los Alamos, NM (United States)
Sponsoring Organization:
USDOE Office of Science (SC). Basic Energy Sciences (BES) (SC-22)
Grant/Contract Number:
89233218CNA000001
OSTI ID:
1635520
Report Number(s):
LA-UR-20-23496
Journal Information:
International Journal of Impact Engineering, Vol. 144, Issue C; ISSN 0734-743X
Publisher:
ElsevierCopyright Statement
Country of Publication:
United States
Language:
English

References (60)

On the interaction between slip dislocations and twins in HCP Zr journal July 2009
Modeling mechanical response and texture evolution of α-uranium as a function of strain rate and temperature using polycrystal plasticity journal April 2013
A strain-rate and temperature dependent constitutive model for BCC metals incorporating non-Schmid effects: Application to tantalum–tungsten alloys journal November 2014
Deformation behavior of the cobalt-based superalloy Haynes 25: Experimental characterization and crystal plasticity modeling journal January 2014
Spectral database solutions to elasto-viscoplasticity within finite elements: Application to a cobalt-based FCC superalloy journal July 2015
High–rate material modelling and validation using the Taylor cylinder impact test
  • Maudlin, P. J.; Gray, G. T.; Cady, C. M.
  • Philosophical Transactions of the Royal Society of London. Series A: Mathematical, Physical and Engineering Sciences, Vol. 357, Issue 1756 https://doi.org/10.1098/rsta.1999.0397
journal June 1999
A theory for the mushrooming of flat-ended projectiles impinging on a flat rigid anvil, using energy considerations journal March 1969
On the modeling of the Taylor cylinder impact test for orthotropic textured materials: experiments and simulations journal March 1999
Elastic-viscoplastic anisotropic modeling of textured metals and validation using the Taylor cylinder impact test journal June 2007
Elasto-viscoplastic constitutive equations for polycrystalline metals: Application to tantalum journal January 1998
Deformation twinning in polycrystalline Zr: Insights from electron backscattered diffraction characterization journal March 2002
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 journal November 2018
Transitioning rate sensitivities across multiple length scales: Microstructure-property relationships in the Taylor cylinder impact test on zirconium journal September 2016
Modeling of Sheet Metal Forming Based on Implicit Embedding of the Elasto-Plastic Self-Consistent Formulation in Shell Elements: Application to Cup Drawing of AA6022-T4 journal February 2017
Texture formation in orthorhombic alpha-uranium under simple compression and rolling to high strains journal May 2016
An implicit formulation of the elasto-plastic self-consistent polycrystal plasticity model and its implementation in implicit finite elements journal September 2019
Integration of self-consistent polycrystal plasticity with dislocation density based hardening laws within an implicit finite element framework: Application to low-symmetry metals journal October 2013
Crystal plasticity simulations using discrete Fourier transforms journal April 2009
Multiscale Modeling of Microstructure-Property Relationships of Polycrystalline Metals during Thermo-Mechanical Deformation journal January 2018
Material-based design of the extrusion of bimetallic tubes journal December 2014
Plastic deformation of high-purity α-titanium: Model development and validation using the Taylor cylinder impact test journal January 2015
Mechanical response of zirconium—II. Experimental and finite element analysis of bent beams journal September 2001
Overview no. 42 Texture development and strain hardening in rate dependent polycrystals journal June 1985
A self-consistent anisotropic approach for the simulation of plastic deformation and texture development of polycrystals: Application to zirconium alloys journal September 1993
Self-consistent modelling of the mechanical behaviour of viscoplastic polycrystals incorporating intragranular field fluctuations journal August 2007
A constitutive description of the deformation of copper based on the use of the mechanical threshold stress as an internal state variable journal January 1988
Computationally efficient database and spectral interpolation for fully plastic Taylor-type crystal plasticity calculations of face-centered cubic polycrystals journal July 2008
Spectral calibration of crystal plasticity models journal April 2006
Building texture evolution networks for deformation processing of polycrystalline fcc metals using spectral approaches: Applications to process design for targeted performance journal August 2010
Delineation of first-order closures for plastic properties requiring explicit consideration of strain hardening and crystallographic texture evolution journal February 2008
Fast computation of first-order elastic–plastic closures for polycrystalline cubic-orthorhombic microstructures journal May 2007
A numerical procedure enabling accurate descriptions of strain rate-sensitive flow of polycrystals within crystal visco-plasticity theory journal August 2016
Texture evolution and enhanced grain refinement under high-pressure-double-torsion journal August 2014
Microstructure and mechanical behavior of direct metal laser sintered Inconel alloy 718 journal March 2016
High-Pressure Double Torsion as a Severe Plastic Deformation Process: Experimental Procedure and Finite Element Modeling journal February 2015
Enhanced microstructural homogeneity in metal-matrix composites developed under high-pressure-double-torsion journal June 2015
Characterization of Crystallographic Texture and Intra-Grain Morphology in Cross-Rolled Tantalum journal December 2014
Residual Ductility and Microstructural Evolution in Continuous-Bending-under-Tension of AA-6022-T4 journal February 2016
Multiscale modeling of plasticity based on embedding the viscoplastic self-consistent formulation in implicit finite elements journal January 2012
Modeling bending of α-titanium with embedded polycrystal plasticity in implicit finite elements journal March 2013
Origin of texture development in orthorhombic uranium journal May 2016
Anisotropic modeling of structural components using embedded crystal plasticity constructive laws within finite elements journal January 2016
Strain localization in ductile single crystals journal October 1977
Geometrical effects in the inhomogeneous deformation of ductile single crystals journal March 1979
Constitutive analysis of elastic-plastic crystals at arbitrary strain journal December 1972
An analysis of nonuniform and localized deformation in ductile single crystals journal June 1982
Generalized constitutive relations for incremental deformation of metal crystals by multislip journal March 1966
Homogenization of elastic–viscoplastic heterogeneous materials: Self-consistent and Mori-Tanaka schemes journal June 2009
A dislocation-based constitutive law for pure Zr including temperature effects journal May 2008
Modeling texture, twinning and hardening evolution during deformation of hexagonal materials journal April 2007
Strain rate and temperature effects on the selection of primary and secondary slip and twinning systems in HCP Zr journal April 2015
Schmid's law and prismatic slip of zirconium journal August 1975
Compression of zirconium single crystals parallel to the journal May 1973
Basal slip in zirconium journal January 1973
The development of texture in zirconium alloy tubes journal August 1967
Deformation twinning journal January 1995
Variability in EBSD statistics for textured zirconium journal July 2013
Demonstration of alloying, thermal activation, and latent hardening effects on quasi-static and dynamic polycrystal plasticity of Mg alloy, WE43-T5, plate journal June 2016
Mechanical response, twinning, and texture evolution of WE43 magnesium-rare earth alloy as a function of strain rate: Experiments and multi-level crystal plasticity modeling journal September 2019
Kinetics of flow and strain-hardening journal November 1981