A crystal plasticity finite element model embedding strain-rate sensitivities inherent to deformation mechanisms: Application to alloy AZ31

Feather, William G.; Savage, Daniel J.; Knezevic, Marko

doi:10.1016/j.ijplas.2021.103031

Title: A crystal plasticity finite element model embedding strain-rate sensitivities inherent to deformation mechanisms: Application to alloy AZ31

Abstract

We report the fundamental power-law relationship representing the flow rule in crystal visco-plasticity ensures uniqueness in the selection of slip systems accommodating imposed plastic strain-rates. The power-law relationship also introduces an artificially high strain-rate sensitivity in crystal plasticity simulations, unless a high value of the power-law exponent is used. However, the use of high values for the exponent is limited by numerical tractability. This paper presents a numerical method implemented in a crystal plasticity finite element (CPFE) model for embedding any value of the power-law exponent reflecting the true material strain-rate sensitivity. Importantly, the method does not increase computation time involved in the simulations. The enhanced CPFE model is used to interpret and predict a complex strain-rate sensitive response and microstructural evolution of AZ31 Mg alloy. Measured values of strain-rate sensitivity for slip and twinning modes are used in the simulations. Calculations show that the model successfully captures the phenomena pertaining to the effect of changing applied strain-rate on the mechanical response including flow stress and evolution of texture and twinning for a broad range of strain-rates ranging from 10^-3 s^-1 to 10³ s^-1 and loading orientations in tension and compression. It is shown that such predictions are a consequencemore »« less

Authors:

Feather, William G. ^[1];

^[2]; Knezevic, Marko ^[1]

University of New Hampshire, Durham, NH (United States)
University of New Hampshire, Durham, NH (United States); Los Alamos National Lab. (LANL), Los Alamos, NM (United States)

Publication Date:: Fri May 21 00:00:00 EDT 2021

Research Org.:: Los Alamos National Lab. (LANL), Los Alamos, NM (United States)

Sponsoring Org.:: USDOE National Nuclear Security Administration (NNSA); National Science Foundation (NSF); USDOE Laboratory Directed Research and Development (LDRD) Program

OSTI Identifier:: 1874185

Report Number(s):: LA-UR-21-24984
Journal ID: ISSN 0749-6419

Grant/Contract Number:: 89233218CNA000001; CMMI-1650641

Resource Type:: Accepted Manuscript

Journal Name:: International Journal of Plasticity

Additional Journal Information:: Journal Volume: 143; Journal ID: ISSN 0749-6419

Publisher:: Elsevier

Country of Publication:: United States

Language:: English

Subject:: 36 MATERIALS SCIENCE; microstructures; elastic-viscoplastic material; rate-dependent material; crystal plasticity; finite elements; T-CPFE UMAT

Citation Formats


                    Feather, William G., Savage, Daniel J., and Knezevic, Marko. A crystal plasticity finite element model embedding strain-rate sensitivities inherent to deformation mechanisms: Application to alloy AZ31.  United States: N. p., 2021. 
Web.  doi:10.1016/j.ijplas.2021.103031.

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                    Feather, William G., Savage, Daniel J., & Knezevic, Marko. A crystal plasticity finite element model embedding strain-rate sensitivities inherent to deformation mechanisms: Application to alloy AZ31.  United States.  https://doi.org/10.1016/j.ijplas.2021.103031

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                    Feather, William G., Savage, Daniel J., and Knezevic, Marko. Fri .  
"A crystal plasticity finite element model embedding strain-rate sensitivities inherent to deformation mechanisms: Application to alloy AZ31".  United States.  https://doi.org/10.1016/j.ijplas.2021.103031.  https://www.osti.gov/servlets/purl/1874185.

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@article{osti_1874185,

  title        = {A crystal plasticity finite element model embedding strain-rate sensitivities inherent to deformation mechanisms: Application to alloy AZ31},

  author       = {Feather, William G. and Savage, Daniel J. and Knezevic, Marko},

  abstractNote = {We report the fundamental power-law relationship representing the flow rule in crystal visco-plasticity ensures uniqueness in the selection of slip systems accommodating imposed plastic strain-rates. The power-law relationship also introduces an artificially high strain-rate sensitivity in crystal plasticity simulations, unless a high value of the power-law exponent is used. However, the use of high values for the exponent is limited by numerical tractability. This paper presents a numerical method implemented in a crystal plasticity finite element (CPFE) model for embedding any value of the power-law exponent reflecting the true material strain-rate sensitivity. Importantly, the method does not increase computation time involved in the simulations. The enhanced CPFE model is used to interpret and predict a complex strain-rate sensitive response and microstructural evolution of AZ31 Mg alloy. Measured values of strain-rate sensitivity for slip and twinning modes are used in the simulations. Calculations show that the model successfully captures the phenomena pertaining to the effect of changing applied strain-rate on the mechanical response including flow stress and evolution of texture and twinning for a broad range of strain-rates ranging from 10-3 s-1 to 103 s-1 and loading orientations in tension and compression. It is shown that such predictions are a consequence of not only relative amounts of slip and twinning activities driven by a set of accurately characterized hardening law parameters but also values of the strain-rate sensitivities inherent to individual deformation mechanisms. Besides, the model validates the measured strain-rate dependency of deformation mechanisms while accurately reproducing the mechanical data. Hence, the model can be used to verify and further refine or infer measured strain-rate sensitivity per deformation mechanism by reproducing experimental data.},

  doi          = {10.1016/j.ijplas.2021.103031},

  journal      = {International Journal of Plasticity},

  number       = ,

  volume       = 143,

  place        = {United States},

  year         = {Fri May 21 00:00:00 EDT 2021},

  month        = {Fri May 21 00:00:00 EDT 2021}

}

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Title: A crystal plasticity finite element model embedding strain-rate sensitivities inherent to deformation mechanisms: Application to alloy AZ31

Abstract

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journal, July 2016

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journal, October 2015

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journal, June 2008

Strain hardening regimes and microstructural evolution during large strain compression of low stacking fault energy fcc alloys that form deformation twins
journal, September 1997

Twinning and the ductility of magnesium alloys
journal, August 2007

Hardening in relation with microstructure evolution of high purity α-titanium deformed under monotonic and cyclic simple shear loadings at room temperature
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journal, September 2015

Prediction of crystallographic texture evolution and anisotropic stress–strain curves during large plastic strains in high purity α-titanium using a Taylor-type crystal plasticity model
journal, January 2007

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journal, April 2006

Room temperature formability of a magnesium AZ31 alloy: Examining the role of texture on the deformation mechanisms
journal, August 2008

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journal, December 1979

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journal, January 2012

Overview no. 42 Texture development and strain hardening in rate dependent polycrystals
journal, June 1985

Erratum to “Quantitative prediction of textures in aluminium cold rolled to moderate strains”
journal, June 2003

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journal, January 1988

A taylor model based description of the proof stress of magnesium AZ31 during hot working
journal, September 2003

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journal, November 2010

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journal, June 1995

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journal, November 2015

A robust integration algorithm for implementing rate dependent crystal plasticity into explicit finite element method
journal, February 2008

Prismatic slip in zirconium single crystals at elevated temperatures
journal, June 1975

A strain-rate and temperature dependent constitutive model for BCC metals incorporating non-Schmid effects: Application to tantalum–tungsten alloys
journal, November 2014

Identification of crystal plasticity model parameters by multi-objective optimization integrating microstructural evolution and mechanical data
journal, June 2021

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journal, October 2002

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journal, November 2016

From Dislocation Junctions to Forest Hardening
journal, December 2002

Influence of temperature and strain rate on slip and twinning behavior of zr
journal, October 1995

Predicting deformation behavior of α-uranium during tension, compression, load reversal, rolling, and sheet forming using elasto-plastic, multi-level crystal plasticity coupled with finite elements
journal, May 2020

Modeling the temperature dependent effect of twinning on the behavior of magnesium alloy AZ31B sheet
journal, July 2007

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journal, September 2018

Enhancement of orientation gradients during simple shear deformation by application of simple compression
journal, June 2015

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journal, January 2021

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journal, February 2015

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journal, August 2007

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journal, August 1957

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journal, April 2007

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journal, January 2018

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journal, April 1996

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journal, October 2015

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journal, January 2007

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journal, October 2013

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journal, April 2013

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Self-consistent polycrystal models: a directional compliance criterion to describe grain interactions
journal, September 1999

A dislocation density based crystal plasticity finite element model: Application to a two-phase polycrystalline HCP/BCC composites
journal, May 2014

Modelling the temperature and texture effects on the deformation mechanisms of magnesium alloy AZ31
journal, September 2020

A dislocation-based constitutive law for pure Zr including temperature effects
journal, May 2008

Dilational Response of Voided Polycrystals
journal, February 2017

Three-dimensional investigation of grain boundary–twin interactions in a Mg AZ31 alloy by electron backscatter diffraction and continuum modeling
journal, December 2013

Material rate dependence and localized deformation in crystalline solids
journal, December 1983

Problems of plastic gliding
journal, January 1940

A constitutive model for hcp materials deforming by slip and twinning
journal, October 2003

A semi-implicit integration scheme for rate independent finite crystal plasticity
journal, June 2006

Application of microstructure sensitive design to structural components produced from hexagonal polycrystalline metals
journal, August 2008

Strain-rate sensitivity and microstructural evolution in a Mg–Al–Zn alloy
journal, November 2010

Fast computation of first-order elastic–plastic closures for polycrystalline cubic-orthorhombic microstructures
journal, May 2007

Latent hardening within the elasto-plastic self-consistent polycrystal homogenization to enable the prediction of anisotropy of AA6022-T4 sheets
journal, June 2018

Incorporation of deformation twinning in crystal plasticity models
journal, February 1998

In situ X-ray diffraction and crystal plasticity modeling of the deformation behavior of extruded Mg–Li–(Al) alloys: An uncommon tension–compression asymmetry
journal, March 2015

A crystal plasticity FFT based study of deformation twinning, anisotropy and micromechanics in HCP materials: Application to AZ31 alloy
journal, February 2019

Modeling the role of local crystallographic correlations in microstructures of Ti-6Al-4V using a correlated structure visco-plastic self-consistent polycrystal plasticity formulation
journal, January 2021

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

A crystal plasticity theory for latent hardening by glide twinning through dislocation transmutation and twin accommodation effects
journal, April 2010

Application of Microstructure Sensitive Design to FCC Polycrystals
journal, May 2007

Elasto-viscoplastic constitutive equations for polycrystalline metals: Application to tantalum
journal, January 1998

Elevated Temperature Effects on the Plastic Anisotropy of an Extruded Mg-4 Wt Pct Li Alloy: Experiments and Polycrystal Modeling
journal, November 2016

An elasto-viscoplastic formulation based on fast Fourier transforms for the prediction of micromechanical fields in polycrystalline materials
journal, May 2012

Rare-earth- and aluminum-free, high strength dilute magnesium alloy for Biomedical Applications
journal, September 2020

Thermo-hydrogen refinement of microstructure to improve mechanical properties of Ti–6Al–4V fabricated via laser powder bed fusion
journal, March 2021

A new implementation of the spectral crystal plasticity framework in implicit finite elements
journal, May 2015

Effect of dislocation density-twin interactions on twin growth in AZ31 as revealed by explicit crystal plasticity finite element modeling
journal, December 2017

Crystallographic texture evolution in bulk deformation processing of FCC metals
journal, January 1992