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

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:
 [1];  [1]; ORCiD logo [1]
  1. Univ. of Michigan, Ann Arbor, MI (United States). Aerospace Engineering
Publication Date:
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.
Acar, Pınar, Ramazani, Ali, & Sundararaghavan, Veera. Crystal Plasticity Modeling and Experimental Validation with an Orientation Distribution Function for Ti-7Al Alloy. United States. doi:10.3390/met7110459.
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. doi:10.3390/met7110459. https://www.osti.gov/servlets/purl/1510524.
@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 = {2017},
month = {10}
}

Journal Article:
Free Publicly Available Full Text
Publisher's Version of Record

Citation Metrics:
Cited by: 6 works
Citation information provided by
Web of Science

Save / Share:

Works referenced in this record:

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

  • Heinz, A.; Neumann, P.
  • Acta Crystallographica Section A Foundations of Crystallography, Vol. 47, Issue 6
  • DOI: 10.1107/S0108767391006864

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

  • Liu, Ruoqian; Kumar, Abhishek; Chen, Zhengzhang
  • Scientific Reports, Vol. 5, Issue 1
  • DOI: 10.1038/srep11551

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

  • Kalidindi, Surya R.; Houskamp, Joshua R.; Lyons, Mark
  • International Journal of Plasticity, Vol. 20, Issue 8-9
  • DOI: 10.1016/j.ijplas.2003.11.007

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

  • Galan-Lopez, J.; Naghdy, S.; Verleysen, P.
  • IOP Conference Series: Materials Science and Engineering, Vol. 82
  • DOI: 10.1088/1757-899X/82/1/012027

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

  • Acar, Pinar; Sundararaghavan, Veera
  • AIAA Journal, Vol. 55, Issue 8
  • DOI: 10.2514/1.J055689

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

  • Lienert, U.; Brandes, M. C.; Bernier, J. V.
  • Materials Science and Engineering: A, Vol. 524, Issue 1-2
  • DOI: 10.1016/j.msea.2009.06.047

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

  • Williams, J. C.; Baggerly, R. G.; Paton, N. E.
  • Metallurgical and Materials Transactions A, Vol. 33, Issue 3
  • DOI: 10.1007/s11661-002-0153-y

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

  • Matthies, S.; Wenk, H. -R.; Vinel, G. W.
  • Journal of Applied Crystallography, Vol. 21, Issue 4
  • DOI: 10.1107/S0021889888000275

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

  • Deb, K.; Pratap, A.; Agarwal, S.
  • IEEE Transactions on Evolutionary Computation, Vol. 6, Issue 2
  • DOI: 10.1109/4235.996017

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

  • Acar, Pinar; Sundararaghavan, Veera
  • AIAA Journal, Vol. 54, Issue 5
  • DOI: 10.2514/1.J054822

Theory of torsion texture development
journal, February 1984