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Modeling and simulation framework for dynamic strain localization in elasto-viscoplastic metallic materials subject to large deformations

Journal Article · · International Journal of Plasticity
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.
Research Organization:
Los Alamos National Laboratory (LANL)
Sponsoring Organization:
USDOE National Nuclear Security Administration (NNSA)
Grant/Contract Number:
AC52-06NA25396
OSTI ID:
1329600
Alternate ID(s):
OSTI ID: 1414595
Report Number(s):
LA-UR-16-24545
Journal Information:
International Journal of Plasticity, Journal Name: International Journal of Plasticity; ISSN 0749-6419
Publisher:
ElsevierCopyright Statement
Country of Publication:
United States
Language:
English

References (70)

Finite element analysis of transient strain localization phenomena in frictional solids journal March 1990
A class of variational strain-localization finite elements journal January 2005
Generalization of selective integration procedures to anisotropic and nonlinear media journal September 1980
Finite rotation effects in numerical integration of rate constitutive equations arising in large-deformation analysis journal December 1980
A method for dynamic crack and shear band propagation with phantom nodes
  • Song, Jeong-Hoon; Areias, Pedro M. A.; Belytschko, Ted
  • International Journal for Numerical Methods in Engineering, Vol. 67, Issue 6 https://doi.org/10.1002/nme.1652
journal January 2006
Finite elements with embedded strong discontinuities for the modeling of failure in solids journal January 2007
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
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
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
High-strain, high-strain-rate behavior of tantalum journal October 1995
Mesh insensitive formulation for initiation and growth of shear bands using mixed finite elements journal July 2012
A Pian–Sumihara type element for modeling shear bands at finite deformation journal October 2013
Incrementally objective implicit integration of hypoelastic–viscoplastic constitutive equations based on the mechanical threshold strength model journal October 2013
Isogeometric analysis of shear bands journal March 2014
Numerical simulation of dynamic fracture using finite elements with embedded discontinuities journal October 2009
Strain-induced martensite formation in austenitic stainless steel journal May 2013
Influence of shock prestraining on the formation of shear localization in 304 stainless steel journal June 2005
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
Acceleration waves in solids journal January 1962
Onset of shear localization in viscoplastic solids journal January 1987
Efficient implementation of quadrilaterals with high coarse-mesh accuracy journal March 1986
A finite element method for localized failure analysis journal March 1987
A finite element with embedded localization zones journal September 1988
Elements with embedded localization zones for large deformation problems journal January 1988
The initiation and growth of adiabatic shear bands journal January 1985
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
Mesh-free Galerkin simulations of dynamic shear band propagation and failure mode transition journal March 2002
Strain localization in frictional materials exhibiting displacement jumps journal February 2001
Dynamic shear band propagation and micro-structure of adiabatic shear band journal November 2001
Comparative study on finite elements with embedded discontinuities journal July 2000
A variational multiscale approach to strain localization – formulation for multidimensional problems journal July 2000
Shear localization and recrystallization in dynamic deformation of 8090 Al–Li alloy journal February 2001
Recrystallization kinetics within adiabatic shear bands journal February 1997
Growth of nuclei in a cellular automaton simulation of recrystallisation journal January 1997
Formation of shear bands and strain-induced martensite during plastic deformation of metastable austenitic stainless steels journal October 2007
A comparative study on finite elements for capturing strong discontinuities: E-FEM vs X-FEM journal July 2006
Advances in the numerical treatment of grain-boundary migration: Coupling with mass transport and mechanics journal December 2006
Assumed enhanced strain and the extended finite element methods: A unification of concepts journal June 2008
New finite elements with embedded strong discontinuities in the finite deformation range journal June 2008
Extended embedded finite elements with continuous displacement jumps for the modeling of localized failure in solids journal March 2015
Onset of shear band localization by a local generalized eigenvalue analysis journal June 2015
Instability analysis of shear bands using the instantaneous growth-rate method journal January 2016
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
A physically based gradient plasticity theory journal April 2006
An experimental and numerical study of the localization behavior of tantalum and stainless steel journal July 2006
A finite thickness band method for ductile fracture analysis journal December 2009
A finite strain, finite band method for modeling ductile fracture journal January 2012
A large-deformation gradient theory for elastic–plastic materials: Strain softening and regularization of shear bands journal March 2012
Microstructural examination of quasi-static and dynamic shear in high-purity iron journal January 2013
On criteria for dynamic adiabatic shear band propagation journal July 2007
Modeling the microstructural evolution of metallic polycrystalline materials under localization conditions journal November 2007
Thermal softening induced plastic instability in rate-dependent materials journal April 2009
Multiresolution continuum modeling of micro-void assisted dynamic adiabatic shear band propagation journal February 2010
A critical review of experimental results and constitutive descriptions for metals and alloys in hot working journal April 2011
The respective influence of microstructural and thermal softening on adiabatic shear localization journal January 2013
EBSD characterization of dynamic shear band regions in pre-shocked and as-received 304 stainless steels journal January 2008
Morphologies and characteristics of deformation induced martensite during tensile deformation of 304 LN stainless steel journal July 2008
The influence of microstructure on the mechanical response of copper in shear journal February 2009
An EBSD investigation on deformation-induced shear bands in a low nickel austenitic stainless steel under controlled shock-loading conditions journal July 2014
Microstructural evolution in adiabatic shear band in the ultrafine-grained austenitic stainless steel processed by multi-axial compression journal August 2014
Microstructural effects on adiabatic shear band formation journal January 2012
Model of plastic deformation for extreme loading conditions journal January 2003
Response and representation of ductile damage under varying shock loading conditions in tantalum journal February 2016
Numerical simulation of systems of shear bands in ductile metal with inclusions journal February 2016
Dynamic Recrystallization as a Potential Cause for Adiabatic Shear Failure journal October 2008
Adiabatic Shear Failure and Dynamic Stored Energy of Cold Work journal February 2006
On the Variational Foundations of Assumed Strain Methods journal March 1986
Comparisons of Constitutive Models for Steel Over a Wide Range of Temperatures and Strain Rates journal March 2012
An Internal State Variable Constitutive Model for Deformation of Austenitic Stainless Steels journal August 2012
Dynamic Localizations in HSLA-65 and DH-36 Structural Steel at Elevated Temperatures journal March 2013

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