Crystal Plasticity Modeling and Experimental Validation with an Orientation Distribution Function for Ti-7Al Alloy

Acar, Pınar; Ramazani, Ali; Sundararaghavan, Veera

doi:10.3390/met7110459

Title: Crystal Plasticity Modeling and Experimental Validation with an Orientation Distribution Function for Ti-7Al Alloy

Abstract

An orientation distribution function based model is used for micromechanical modeling of the titanium-aluminum alloys, Ti-0 wt % Al and Ti-7 wt % Al, which are in demand for many aerospace applications. This probability descriptor based modeling approach is different than crystal plasticity finite element techniques since it computes the averaged material properties using upper bound averaging. A rate-independent single-crystal plasticity model is implemented to compute the effect of macroscopic strain on the polycrystal. An optimization problem is defined for calibrating the basal, prismatic, pyramidal slip system and twin parameters using the available tension and compression experimental data. The crystal plasticity parameters of Ti-7 wt % Al are not studied extensively in literature, and therefore the optimization results for the crystal plasticity model realization produce unique data, which will be beneficial to future studies in the field. The sensitivities of the slip and twin parameters to the design objectives are also investigated to identify the most critical slip system parameters. Using the optimum design parameters, the microstructural textures, during the tension test, are predicted by the crystal plasticity finite element simulations, and compared to the available experimental texture and scanning electron microscope—digital image correlation data.

Authors:

Acar, Pınar ^[1]; Ramazani, Ali ^[1];

^[1]

Univ. of Michigan, Ann Arbor, MI (United States). Aerospace Engineering

Publication Date:: Sat Oct 28 00:00:00 EDT 2017

Research Org.:: Univ. of Michigan, Ann Arbor, MI (United States)

Sponsoring Org.:: USDOE Office of Science (SC), Basic Energy Sciences (BES) (SC-22). Materials Sciences & Engineering Division

OSTI Identifier:: 1510524

Grant/Contract Number:: SC0008637

Resource Type:: Accepted Manuscript

Journal Name:: Metals

Additional Journal Information:: Journal Volume: 7; Journal Issue: 11; Journal ID: ISSN 2075-4701

Publisher:: MDPI

Country of Publication:: United States

Language:: English

Subject:: 36 MATERIALS SCIENCE; crystal plasticity; microstructure; titanium alloy

Citation Formats


                    Acar, Pınar, Ramazani, Ali, and Sundararaghavan, Veera. Crystal Plasticity Modeling and Experimental Validation with an Orientation Distribution Function for Ti-7Al Alloy.  United States: N. p., 2017. 
Web.  doi:10.3390/met7110459.

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                    Acar, Pınar, Ramazani, Ali, & Sundararaghavan, Veera. Crystal Plasticity Modeling and Experimental Validation with an Orientation Distribution Function for Ti-7Al Alloy.  United States.  https://doi.org/10.3390/met7110459

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                    Acar, Pınar, Ramazani, Ali, and Sundararaghavan, Veera. Sat .  
"Crystal Plasticity Modeling and Experimental Validation with an Orientation Distribution Function for Ti-7Al Alloy".  United States.  https://doi.org/10.3390/met7110459.  https://www.osti.gov/servlets/purl/1510524.

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@article{osti_1510524,

  title        = {Crystal Plasticity Modeling and Experimental Validation with an Orientation Distribution Function for Ti-7Al Alloy},

  author       = {Acar, Pınar and Ramazani, Ali and Sundararaghavan, Veera},

  abstractNote = {An orientation distribution function based model is used for micromechanical modeling of the titanium-aluminum alloys, Ti-0 wt % Al and Ti-7 wt % Al, which are in demand for many aerospace applications. This probability descriptor based modeling approach is different than crystal plasticity finite element techniques since it computes the averaged material properties using upper bound averaging. A rate-independent single-crystal plasticity model is implemented to compute the effect of macroscopic strain on the polycrystal. An optimization problem is defined for calibrating the basal, prismatic, pyramidal slip system and twin parameters using the available tension and compression experimental data. The crystal plasticity parameters of Ti-7 wt % Al are not studied extensively in literature, and therefore the optimization results for the crystal plasticity model realization produce unique data, which will be beneficial to future studies in the field. The sensitivities of the slip and twin parameters to the design objectives are also investigated to identify the most critical slip system parameters. Using the optimum design parameters, the microstructural textures, during the tension test, are predicted by the crystal plasticity finite element simulations, and compared to the available experimental texture and scanning electron microscope—digital image correlation data.},

  doi          = {10.3390/met7110459},

  journal      = {Metals},

  number       = 11,

  volume       = 7,

  place        = {United States},

  year         = {Sat Oct 28 00:00:00 EDT 2017},

  month        = {Sat Oct 28 00:00:00 EDT 2017}

}

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Title: Crystal Plasticity Modeling and Experimental Validation with an Orientation Distribution Function for Ti-7Al Alloy

Abstract

Citation Formats

Integrated computational materials engineering: A new paradigm for the global materials profession journal, November 2006

Grain shape effects on the slip system activity and on the lattice rotations journal, November 1986

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

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Strain hardening due to deformation twinning in α-titanium: Constitutive relations and crystal-plasticity modeling journal, July 2005

A predictive machine learning approach for microstructure optimization and materials design journal, June 2015

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On the synergy between texture classification and deformation process sequence selection for the control of texture-dependent properties journal, February 2005

Image-based crystal plasticity FE framework for microstructure dependent properties of Ti–6Al–4V alloys journal, September 2012

Microstructure-sensitive design of a compliant beam journal, August 2001

Effects of interactions among crystals on the inhomogeneous deformations of polycrystals journal, May 1996

Uncertainty quantification of microstructural properties due to variability in measured pole figures journal, February 2017

Microstructure sensitive design of an orthotropic plate subjected to tensile load journal, August 2004

Mechanical behavior and texture prediction of Ti-6Al-4V based on elastic viscoplastic self-consistent modelling journal, April 2015

Uncertainty Quantification of Microstructural Properties due to Experimental Variations journal, August 2017

In situ single-grain peak profile measurements on Ti–7Al during tensile deformation journal, October 2009

Deformation behavior of HCP Ti-Al alloy single crystals journal, March 2002

Probabilistic modeling of microstructure evolution using finite element representation of statistical correlation functions journal, March 2012

A computational procedure for rate-independent crystal plasticity journal, April 1996

A self consistent approach of the large deformation polycrystal viscoplasticity journal, December 1987

Modeling crystallographic texture evolution with finite elements over neo-Eulerian orientation spaces journal, January 1998

A multi-length scale sensitivity analysis for the control of texture-dependent properties in deformation processing journal, September 2008

Computational modeling of f.c.c. deformation textures over Rodrigues' space journal, June 2000

Some basic concepts of texture analysis and comparison of three methods to calculate orientation distributions from pole figures journal, August 1988

Using texture components in crystal plasticity finite element simulations journal, March 2004

Orientation distribution and orientation correlation functions for description of microstructures journal, January 1993

Crystal plasticity FE modeling of Ti alloys for a range of strain-rates. Part I: A unified constitutive model and flow rule journal, December 2016

A study of deformation twinning in a titanium alloy by X-ray diffraction contrast tomography journal, February 2016

The effect of aluminium on twinning in binary alpha-titanium journal, January 2016

A fast and elitist multiobjective genetic algorithm: NSGA-II journal, April 2002

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

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Theory of torsion texture development journal, February 1984

PRISMS: An Integrated, Open-Source Framework for Accelerating Predictive Structural Materials Science journal, August 2018

Crystal Plasticity Model Calibration for Ti-7Al Alloy with a Multi-fidelity Computational Scheme journal, November 2018

Uncertainty Quantification for Ti-7Al Alloy Microstructure with an Inverse Analytical Model (AUQLin) journal, May 2019

Uncertainty Quantification for Ti-7Al Alloy Microstructure with an Inverse Analytical Model (AUQLin) journal, May 2019

Integrated computational materials engineering: A new paradigm for the global materials profession
journal, November 2006

Grain shape effects on the slip system activity and on the lattice rotations
journal, November 1986

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

Representation of orientation and disorientation data for cubic, hexagonal, tetragonal and orthorhombic crystals
journal, November 1991

Strain hardening due to deformation twinning in α-titanium: Constitutive relations and crystal-plasticity modeling
journal, July 2005

A predictive machine learning approach for microstructure optimization and materials design
journal, June 2015

Effect of oxygen content and microstructure on the thermo-mechanical response of three Ti–6Al–4V alloys: Experiments and modeling over a wide range of strain-rates and temperatures
journal, July 2007

On the synergy between texture classification and deformation process sequence selection for the control of texture-dependent properties
journal, February 2005

Image-based crystal plasticity FE framework for microstructure dependent properties of Ti–6Al–4V alloys
journal, September 2012

Microstructure-sensitive design of a compliant beam
journal, August 2001

Effects of interactions among crystals on the inhomogeneous deformations of polycrystals
journal, May 1996

Uncertainty quantification of microstructural properties due to variability in measured pole figures
journal, February 2017

Microstructure sensitive design of an orthotropic plate subjected to tensile load
journal, August 2004

Mechanical behavior and texture prediction of Ti-6Al-4V based on elastic viscoplastic self-consistent modelling
journal, April 2015

Uncertainty Quantification of Microstructural Properties due to Experimental Variations
journal, August 2017

In situ single-grain peak profile measurements on Ti–7Al during tensile deformation
journal, October 2009

Deformation behavior of HCP Ti-Al alloy single crystals
journal, March 2002

Probabilistic modeling of microstructure evolution using finite element representation of statistical correlation functions
journal, March 2012

A computational procedure for rate-independent crystal plasticity
journal, April 1996

A self consistent approach of the large deformation polycrystal viscoplasticity
journal, December 1987

Modeling crystallographic texture evolution with finite elements over neo-Eulerian orientation spaces
journal, January 1998

A multi-length scale sensitivity analysis for the control of texture-dependent properties in deformation processing
journal, September 2008

Computational modeling of f.c.c. deformation textures over Rodrigues' space
journal, June 2000

Some basic concepts of texture analysis and comparison of three methods to calculate orientation distributions from pole figures
journal, August 1988

Using texture components in crystal plasticity finite element simulations
journal, March 2004

Orientation distribution and orientation correlation functions for description of microstructures
journal, January 1993

Crystal plasticity FE modeling of Ti alloys for a range of strain-rates. Part I: A unified constitutive model and flow rule
journal, December 2016

A study of deformation twinning in a titanium alloy by X-ray diffraction contrast tomography
journal, February 2016

The effect of aluminium on twinning in binary alpha-titanium
journal, January 2016

A fast and elitist multiobjective genetic algorithm: NSGA-II
journal, April 2002

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

Utilization of a Linear Solver for Multiscale Design and Optimization of Microstructures
journal, May 2016

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PRISMS: An Integrated, Open-Source Framework for Accelerating Predictive Structural Materials Science
journal, August 2018

Crystal Plasticity Model Calibration for Ti-7Al Alloy with a Multi-fidelity Computational Scheme
journal, November 2018

Uncertainty Quantification for Ti-7Al Alloy Microstructure with an Inverse Analytical Model (AUQLin)
journal, May 2019

Uncertainty Quantification for Ti-7Al Alloy Microstructure with an Inverse Analytical Model (AUQLin)
journal, May 2019