Modeling and simulation framework for dynamic strain localization in elasto-viscoplastic metallic materials subject to large deformations
Abstract
This study describes a theoretical and computational framework for the treatment of adiabatic shear band formation in rate-sensitive polycrystalline metallic materials. From a computational perspective, accurate representation of strain localization behavior has been a long-standing challenge. In addition, the underlying physical mechanisms leading to the localization of plastic deformation are still not fully understood. The proposed framework is built around an enhanced-strain finite element formulation, designed to alleviate numerical pathologies known to arise in localization problems, by allowing a localization band of given finite width (weak discontinuity) to be embedded within individual elements. The mechanical threshold strength (MTS) model is used to represent the temperature and strain rate-dependent viscoplastic response of the material. This classical flow stress model employs an internal state variable to quantify the effect of dislocation structure evolution (work hardening and recovery). In light of growing evidence suggesting that the softening effect of dynamic recrystallization may play a significant role, alongside thermal softening, in the process of shear band formation and growth, a simple dynamic recrystallization model is proposed and cast within the context of the MTS model with the aid of the aforementioned internal state variable. An initiation criterion for shear localization in rate and temperature-sensitivemore »
- Authors:
-
- Los Alamos National Lab. (LANL), Los Alamos, NM (United States)
- Publication Date:
- Research Org.:
- Los Alamos National Lab. (LANL), Los Alamos, NM (United States)
- Sponsoring Org.:
- USDOE National Nuclear Security Administration (NNSA)
- OSTI Identifier:
- 1329600
- Alternate Identifier(s):
- OSTI ID: 1414595
- Report Number(s):
- LA-UR-16-24545
Journal ID: ISSN 0749-6419
- Grant/Contract Number:
- AC52-06NA25396
- Resource Type:
- Accepted Manuscript
- Journal Name:
- International Journal of Plasticity
- Additional Journal Information:
- Journal Name: International Journal of Plasticity; Journal ID: ISSN 0749-6419
- Publisher:
- Elsevier
- Country of Publication:
- United States
- Language:
- English
- Subject:
- 36 MATERIALS SCIENCE
Citation Formats
Mourad, Hashem Mourad, Bronkhorst, Curt Allan, Livescu, Veronica, Plohr, JeeYeon Nam, and Cerreta, Ellen Kathleen. Modeling and simulation framework for dynamic strain localization in elasto-viscoplastic metallic materials subject to large deformations. United States: N. p., 2016.
Web. doi:10.1016/j.ijplas.2016.09.009.
Mourad, Hashem Mourad, Bronkhorst, Curt Allan, Livescu, Veronica, Plohr, JeeYeon Nam, & Cerreta, Ellen Kathleen. Modeling and simulation framework for dynamic strain localization in elasto-viscoplastic metallic materials subject to large deformations. United States. https://doi.org/10.1016/j.ijplas.2016.09.009
Mourad, Hashem Mourad, Bronkhorst, Curt Allan, Livescu, Veronica, Plohr, JeeYeon Nam, and Cerreta, Ellen Kathleen. Fri .
"Modeling and simulation framework for dynamic strain localization in elasto-viscoplastic metallic materials subject to large deformations". United States. https://doi.org/10.1016/j.ijplas.2016.09.009. https://www.osti.gov/servlets/purl/1329600.
@article{osti_1329600,
title = {Modeling and simulation framework for dynamic strain localization in elasto-viscoplastic metallic materials subject to large deformations},
author = {Mourad, Hashem Mourad and Bronkhorst, Curt Allan and Livescu, Veronica and Plohr, JeeYeon Nam and Cerreta, Ellen Kathleen},
abstractNote = {This study describes a theoretical and computational framework for the treatment of adiabatic shear band formation in rate-sensitive polycrystalline metallic materials. From a computational perspective, accurate representation of strain localization behavior has been a long-standing challenge. In addition, the underlying physical mechanisms leading to the localization of plastic deformation are still not fully understood. The proposed framework is built around an enhanced-strain finite element formulation, designed to alleviate numerical pathologies known to arise in localization problems, by allowing a localization band of given finite width (weak discontinuity) to be embedded within individual elements. The mechanical threshold strength (MTS) model is used to represent the temperature and strain rate-dependent viscoplastic response of the material. This classical flow stress model employs an internal state variable to quantify the effect of dislocation structure evolution (work hardening and recovery). In light of growing evidence suggesting that the softening effect of dynamic recrystallization may play a significant role, alongside thermal softening, in the process of shear band formation and growth, a simple dynamic recrystallization model is proposed and cast within the context of the MTS model with the aid of the aforementioned internal state variable. An initiation criterion for shear localization in rate and temperature-sensitive materials is introduced and used in the present context of high-rate loading, where material rate-dependence is pronounced and substantial temperature increases are achieved due to the dissipative nature of viscoplastic processes. In addition, explicit time integration is adopted to facilitate treatment of the dynamic problems under consideration, where strain rates in excess of 104 s–1 are typically attained. Two series of experiments are conducted on AISI 316L stainless steel, employing the commonly used top-hat sample geometry and the Split-Hopkinson Pressure Bar dynamic test system. Axi-symmetric finite element simulation results are compared to cross-sectional micrographs of recovered samples and experimental load–displacement results, in order to examine the performance of the proposed framework and demonstrate its effectiveness in treating the initiation and growth of adiabatic shear banding in dynamically loaded metallic materials. These comparisons demonstrate that thermal softening alone is insufficient to induce shear localization behaviors observed in some materials, such as stainless steel, and support the hypothesis that dynamic recrystallization and/or other softening mechanisms play an essential role in this process.},
doi = {10.1016/j.ijplas.2016.09.009},
journal = {International Journal of Plasticity},
number = ,
volume = ,
place = {United States},
year = {Fri Sep 23 00:00:00 EDT 2016},
month = {Fri Sep 23 00:00:00 EDT 2016}
}
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Works referenced in this record:
Comparisons of Constitutive Models for Steel Over a Wide Range of Temperatures and Strain Rates
journal, March 2012
- Abed, Farid; Makarem, Fadi
- Journal of Engineering Materials and Technology, Vol. 134, Issue 2
Dynamic Localizations in HSLA-65 and DH-36 Structural Steel at Elevated Temperatures
journal, March 2013
- Abed, Farid H.; Makarem, Fadi; Voyiadjis, George Z.
- Journal of Engineering Materials and Technology, Vol. 135, Issue 2
Plastic deformation modeling of AL-6XN stainless steel at low and high strain rates and temperatures using a combination of bcc and fcc mechanisms of metals
journal, August 2005
- Abed, F.; Voyiadjis, G.
- International Journal of Plasticity, Vol. 21, Issue 8
A physically based gradient plasticity theory
journal, April 2006
- Abu Al-Rub, Rashid K.; Voyiadjis, George Z.
- International Journal of Plasticity, Vol. 22, Issue 4
A large-deformation gradient theory for elastic–plastic materials: Strain softening and regularization of shear bands
journal, March 2012
- Anand, Lallit; Aslan, Ozgur; Chester, Shawn A.
- International Journal of Plasticity, Vol. 30-31
Onset of shear localization in viscoplastic solids
journal, January 1987
- Anand, L.
- Journal of the Mechanics and Physics of Solids, Vol. 35, Issue 4
Three-dimensional finite elements with embedded strong discontinuities to model material failure in the infinitesimal range: 3D FINITE ELEMENTS WITH EMBEDDED STRONG DISCONTINUITIES
journal, June 2012
- Armero, F.; Kim, J.
- International Journal for Numerical Methods in Engineering, Vol. 91, Issue 12
New finite elements with embedded strong discontinuities in the finite deformation range
journal, June 2008
- Armero, F.; Linder, C.
- Computer Methods in Applied Mechanics and Engineering, Vol. 197, Issue 33-40
Numerical simulation of dynamic fracture using finite elements with embedded discontinuities
journal, October 2009
- Armero, Francisco; Linder, Christian
- International Journal of Fracture, Vol. 160, Issue 2
Onset of shear band localization by a local generalized eigenvalue analysis
journal, June 2015
- Arriaga, Miguel; McAuliffe, Colin; Waisman, Haim
- Computer Methods in Applied Mechanics and Engineering, Vol. 289
Instability analysis of shear bands using the instantaneous growth-rate method
journal, January 2016
- Arriaga, Miguel; McAuliffe, Colin; Waisman, Haim
- International Journal of Impact Engineering, Vol. 87
Efficient implementation of quadrilaterals with high coarse-mesh accuracy
journal, March 1986
- Belytschko, Ted; Bachrach, William E.
- Computer Methods in Applied Mechanics and Engineering, Vol. 54, Issue 3
A finite element with embedded localization zones
journal, September 1988
- Belytschko, Ted; Fish, Jacob; Engelmann, Bruce E.
- Computer Methods in Applied Mechanics and Engineering, Vol. 70, Issue 1
Isogeometric analysis of shear bands
journal, March 2014
- Berger-Vergiat, Luc; McAuliffe, Colin; Waisman, Haim
- Computational Mechanics, Vol. 54, Issue 2
Assumed enhanced strain and the extended finite element methods: A unification of concepts
journal, June 2008
- Borja, Ronaldo I.
- Computer Methods in Applied Mechanics and Engineering, Vol. 197, Issue 33-40
Strain localization in frictional materials exhibiting displacement jumps
journal, February 2001
- Borja, Ronaldo I.; Regueiro, Richard A.
- Computer Methods in Applied Mechanics and Engineering, Vol. 190, Issue 20-21
An experimental and numerical study of the localization behavior of tantalum and stainless steel
journal, July 2006
- Bronkhorst, C. A.; Cerreta, E. K.; Xue, Q.
- International Journal of Plasticity, Vol. 22, Issue 7
Response and representation of ductile damage under varying shock loading conditions in tantalum
journal, February 2016
- Bronkhorst, C. A.; Gray, G. T.; Addessio, F. L.
- Journal of Applied Physics, Vol. 119, Issue 8
Modeling the microstructural evolution of metallic polycrystalline materials under localization conditions
journal, November 2007
- Bronkhorst, C. A.; Hansen, B. L.; Cerreta, E. K.
- Journal of the Mechanics and Physics of Solids, Vol. 55, Issue 11
Microstructural examination of quasi-static and dynamic shear in high-purity iron
journal, January 2013
- Cerreta, E. K.; Bingert, J. F.; Gray, G. T.
- International Journal of Plasticity, Vol. 40
The influence of microstructure on the mechanical response of copper in shear
journal, February 2009
- Cerreta, E. K.; Frank, I. J.; Gray, G. T.
- Materials Science and Engineering: A, Vol. 501, Issue 1-2
Morphologies and characteristics of deformation induced martensite during tensile deformation of 304 LN stainless steel
journal, July 2008
- Das, Arpan; Sivaprasad, S.; Ghosh, M.
- Materials Science and Engineering: A, Vol. 486, Issue 1-2
Growth of nuclei in a cellular automaton simulation of recrystallisation
journal, January 1997
- Davies, C. H. J.
- Scripta Materialia, Vol. 36, Issue 1
Elements with embedded localization zones for large deformation problems
journal, January 1988
- Fish, J.; Belytschko, T.
- Computers & Structures, Vol. 30, Issue 1-2
An Internal State Variable Constitutive Model for Deformation of Austenitic Stainless Steels
journal, August 2012
- Follansbee, Paul S.
- Journal of Engineering Materials and Technology, Vol. 134, Issue 4
Low-temperature and high-strain-rate deformation of nickel and nickel-carbon alloys and analysis of the constitutive behavior according to an internal state variable model
journal, July 1990
- Follansbee, P. S.; Huang, J. C.; Gray, G. T.
- Acta Metallurgica et Materialia, Vol. 38, Issue 7
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
- Follansbee, P. S.; Kocks, U. F.
- Acta Metallurgica, Vol. 36, Issue 1
A variational multiscale approach to strain localization – formulation for multidimensional problems
journal, July 2000
- Garikipati, K.; Hughes, T. J. R.
- Computer Methods in Applied Mechanics and Engineering, Vol. 188, Issue 1-3
Effects of Strain State and Strain Rate on Deformation-Induced Transformation in 304 Stainless Steel: Part I. Magnetic Measurements and Mechanical Behavior
journal, April 1982
- Hecker, S. S.; Stout, M. G.; Staudhammer, K. P.
- Metallurgical Transactions A, Vol. 13, Issue 4
Acceleration waves in solids
journal, January 1962
- Hill, R.
- Journal of the Mechanics and Physics of Solids, Vol. 10, Issue 1
Recrystallization kinetics within adiabatic shear bands
journal, February 1997
- Hines, J. A.; Vecchio, K. S.
- Acta Materialia, Vol. 45, Issue 2
A finite thickness band method for ductile fracture analysis
journal, December 2009
- Huespe, A. E.; Needleman, A.; Oliver, J.
- International Journal of Plasticity, Vol. 25, Issue 12
A finite strain, finite band method for modeling ductile fracture
journal, January 2012
- Huespe, A. E.; Needleman, A.; Oliver, J.
- International Journal of Plasticity, Vol. 28, Issue 1
Generalization of selective integration procedures to anisotropic and nonlinear media
journal, September 1980
- Hughes, Thomas J. R.
- International Journal for Numerical Methods in Engineering, Vol. 15, Issue 9
Finite rotation effects in numerical integration of rate constitutive equations arising in large-deformation analysis
journal, December 1980
- Hughes, Thomas J. R.; Winget, James
- International Journal for Numerical Methods in Engineering, Vol. 15, Issue 12
Comparative study on finite elements with embedded discontinuities
journal, July 2000
- Jirásek, Milan
- Computer Methods in Applied Mechanics and Engineering, Vol. 188, Issue 1-3
Finite element analysis of transient strain localization phenomena in frictional solids
journal, March 1990
- Leroy, Y.; Ortiz, M.
- International Journal for Numerical and Analytical Methods in Geomechanics, Vol. 14, Issue 2
Dynamic shear band propagation and micro-structure of adiabatic shear band
journal, November 2001
- Li, Shaofan; Liu, Wing-Kam; Qian, Dong
- Computer Methods in Applied Mechanics and Engineering, Vol. 191, Issue 1-2
Mesh-free Galerkin simulations of dynamic shear band propagation and failure mode transition
journal, March 2002
- Li, Shaofan; Liu, Wing Kam; Rosakis, Ares J.
- International Journal of Solids and Structures, Vol. 39, Issue 5
A critical review of experimental results and constitutive descriptions for metals and alloys in hot working
journal, April 2011
- Lin, Y. C.; Chen, Xiao-Min
- Materials & Design, Vol. 32, Issue 4
Finite elements with embedded strong discontinuities for the modeling of failure in solids
journal, January 2007
- Linder, C.; Armero, F.
- International Journal for Numerical Methods in Engineering, Vol. 72, Issue 12
Thermal softening induced plastic instability in rate-dependent materials
journal, April 2009
- Ling, Xianwu; Belytschko, T.
- Journal of the Mechanics and Physics of Solids, Vol. 57, Issue 4
Mesh insensitive formulation for initiation and growth of shear bands using mixed finite elements
journal, July 2012
- McAuliffe, Colin; Waisman, Haim
- Computational Mechanics, Vol. 51, Issue 5
A Pian–Sumihara type element for modeling shear bands at finite deformation
journal, October 2013
- McAuliffe, Colin; Waisman, Haim
- Computational Mechanics, Vol. 53, Issue 5
Multiresolution continuum modeling of micro-void assisted dynamic adiabatic shear band propagation
journal, February 2010
- McVeigh, Cahal; Liu, Wing Kam
- Journal of the Mechanics and Physics of Solids, Vol. 58, Issue 2
On criteria for dynamic adiabatic shear band propagation
journal, July 2007
- Medyanik, S.; Liu, W.; Li, S.
- Journal of the Mechanics and Physics of Solids, Vol. 55, Issue 7
High-strain, high-strain-rate behavior of tantalum
journal, October 1995
- Meyers, M. A.; Chen, Y. -J.; Marquis, F. D. S.
- Metallurgical and Materials Transactions A, Vol. 26, Issue 10
Incrementally objective implicit integration of hypoelastic–viscoplastic constitutive equations based on the mechanical threshold strength model
journal, October 2013
- Mourad, Hashem M.; Bronkhorst, Curt A.; Addessio, Francis L.
- Computational Mechanics, Vol. 53, Issue 5
Advances in the numerical treatment of grain-boundary migration: Coupling with mass transport and mechanics
journal, December 2006
- Mourad, Hashem M.; Garikipati, Krishna
- Computer Methods in Applied Mechanics and Engineering, Vol. 196, Issue 1-3
Strain-induced martensite formation in austenitic stainless steel
journal, May 2013
- Okayasu, Mitsuhiro; Fukui, Hironobu; Ohfuji, Hiroaki
- Journal of Materials Science, Vol. 48, Issue 18
A comparative study on finite elements for capturing strong discontinuities: E-FEM vs X-FEM
journal, July 2006
- Oliver, J.; Huespe, A. E.; Sánchez, P. J.
- Computer Methods in Applied Mechanics and Engineering, Vol. 195, Issue 37-40
A finite element method for localized failure analysis
journal, March 1987
- Ortiz, Michael; Leroy, Yves; Needleman, Alan
- Computer Methods in Applied Mechanics and Engineering, Vol. 61, Issue 2
Microstructural effects on adiabatic shear band formation
journal, January 2012
- Osovski, S.; Rittel, D.; Landau, P.
- Scripta Materialia, Vol. 66, Issue 1
The respective influence of microstructural and thermal softening on adiabatic shear localization
journal, January 2013
- Osovski, S.; Rittel, D.; Venkert, A.
- Mechanics of Materials, Vol. 56
Numerical simulation of systems of shear bands in ductile metal with inclusions
journal, February 2016
- Plohr, JeeYeon N.; Plohr, Bradley J.
- AIP Advances, Vol. 6, Issue 2
Model of plastic deformation for extreme loading conditions
journal, January 2003
- Preston, Dean L.; Tonks, Davis L.; Wallace, Duane C.
- Journal of Applied Physics, Vol. 93, Issue 1
Dynamic Recrystallization as a Potential Cause for Adiabatic Shear Failure
journal, October 2008
- Rittel, D.; Landau, P.; Venkert, A.
- Physical Review Letters, Vol. 101, Issue 16
Adiabatic Shear Failure and Dynamic Stored Energy of Cold Work
journal, February 2006
- Rittel, D.; Wang, Z. G.; Merzer, M.
- Physical Review Letters, Vol. 96, Issue 7
On the Variational Foundations of Assumed Strain Methods
journal, March 1986
- Simo, J. C.; Hughes, T. J. R.
- Journal of Applied Mechanics, Vol. 53, Issue 1
A method for dynamic crack and shear band propagation with phantom nodes
journal, January 2006
- Song, Jeong-Hoon; Areias, Pedro M. A.; Belytschko, Ted
- International Journal for Numerical Methods in Engineering, Vol. 67, Issue 6
Formation of shear bands and strain-induced martensite during plastic deformation of metastable austenitic stainless steels
journal, October 2007
- Talonen, J.; Hänninen, H.
- Acta Materialia, Vol. 55, Issue 18
Microstructural evolution in adiabatic shear band in the ultrafine-grained austenitic stainless steel processed by multi-axial compression
journal, August 2014
- Wang, Bingfeng; Liu, Zhaolin; Wang, Bin
- Materials Science and Engineering: A, Vol. 611
An EBSD investigation on deformation-induced shear bands in a low nickel austenitic stainless steel under controlled shock-loading conditions
journal, July 2014
- Wang, B. F.; Liu, Z. L.; Wang, X. Y.
- Materials Science and Engineering: A, Vol. 610
The initiation and growth of adiabatic shear bands
journal, January 1985
- Wright, T. W.; Batra, R. C.
- International Journal of Plasticity, Vol. 1, Issue 3
Extended embedded finite elements with continuous displacement jumps for the modeling of localized failure in solids
journal, March 2015
- Wu, Jian-Ying; Li, Feng-Bo; Xu, Shi-Lang
- Computer Methods in Applied Mechanics and Engineering, Vol. 285
Shear localization and recrystallization in dynamic deformation of 8090 Al–Li alloy
journal, February 2001
- Xu, Y. B.; Zhong, W. L.; Chen, Y. J.
- Materials Science and Engineering: A, Vol. 299, Issue 1-2
EBSD characterization of dynamic shear band regions in pre-shocked and as-received 304 stainless steels
journal, January 2008
- Xue, Q.; Bingert, J. F.; Henrie, B. L.
- Materials Science and Engineering: A, Vol. 473, Issue 1-2
Development of adiabatic shear bands in annealed 316L stainless steel: Part II. TEM studies of the evolution of microstructure during deformation localization
journal, August 2006
- Xue, Q.; Gray, G. T.
- Metallurgical and Materials Transactions A, Vol. 37, Issue 8
Influence of shock prestraining on the formation of shear localization in 304 stainless steel
journal, June 2005
- Xue, Q.; Gray, G. T.; Henrie, B. L.
- Metallurgical and Materials Transactions A, Vol. 36, Issue 6
A class of variational strain-localization finite elements
journal, January 2005
- Yang, Q.; Mota, A.; Ortiz, M.
- International Journal for Numerical Methods in Engineering, Vol. 62, Issue 8
Works referencing / citing this record:
A common mechanism for evolution of single shear bands in large-strain deformation of metals
journal, September 2018
- Sagapuram, Dinakar; Viswanathan, Koushik; Trumble, Kevin P.
- Philosophical Magazine, Vol. 98, Issue 36