Abstract
High strain rate simulations were performed using the multiscale dislocation dynamic plasticity (MDDP) method to calculate different rise times and load durations in mimicking high deformation rate shock or isentropic (ramp) testing of α-iron and tantalum crystals. The focus for both types of loading on both materials was on the inter-relationship between the (dislocation-velocity-related) strain rate sensitivity and the (time-dependent) evolution of dislocation density. The computations are compared with model thermal activation strain rate analysis (TASRA), phonon drag, and dislocation-generation predictions. The overall comparison of simulated tests and previous experimental measurements shows that the imposition of a rise time even as small as 0.2 ns preceding plastic relaxation via the MDDP method is indicative of relatively weak shock behavior.
References
1.
Smith
, R. F.
, Eggert
, J. H.
, Rudd
, R. E.
, Swift
, D. C.
, Bolme
, C. A.
, and Collins
, G. W.
, 2011
, “High Strain-Rate Plastic Flow in Al and Fe
,” J. Appl. Phys.
, 110
(12
), p. 123515
. 2.
Cereceda
, D.
, Diehl
, M.
, Roters
, F.
, Raabe
, D.
, Perlado
, J. M.
, and Marian
, J.
, 2016
, “Unraveling the Temperature Dependence of the Yield Strength in Single-Crystal Tungsten Using Atomistically-Informed Crystal Plasticity Calculations
,” Int. J. Plast.
, 78
, pp. 242
–265
. 3.
Gurrutxaga-Lerma
, B.
, Shehadeh
, M. A.
, Balint
, D. S.
, Dini
, D.
, Chen
, L.
, and Eakins
, D. E.
, 2017
, “The Effect of Temperature on the Elastic Precursor Decay in Shock Loaded FCC Aluminium and BCC Iron
,” Int. J. Plast.
, 96
, pp. 135
–155
. 4.
Zaretsky
, E. B.
, and Kanel
, G. I.
, 2014
, “Tantalum and Vanadium Response to Shock-Wave Loading at Normal and Elevated Temperatures. Non-Monotonous Decay of the Elastic Wave in Vanadium
,” J. Appl. Phys.
, 115
(24
), p. 243502
. 5.
Smith
, R. F.
, Eggert
, J. H.
, Jankowski
, A.
, Celliers
, P. M.
, Edwards
, M. J.
, Gupta
, Y. M.
, Asay
, J. R.
, and Collins
, G. W.
, 2007
, “Stiff Response of Aluminum Under Ultrafast Shockless Compression to 110 GPA
,” Phys. Rev. Lett.
, 98
(6
), p. 065701
. 6.
Armstrong
, R. W.
, Arnold
, W.
, and Zerilli
, F. J.
, 2007
, “Dislocation Mechanics of Shock-Induced Plasticity
,” Metall. Mater. Trans. A
, 38
(11
), pp. 2605
–2610
. 7.
Armstrong
, R. W.
, and Zerilli
, F. J.
, 2010
, “High Rate Straining of Tantalum and Copper
,” J. Phys. D: Appl. Phys.
, 43
(49
), p. 492002
. 8.
Armstrong
, R. W.
, and Li
, Q.
, 2015
, “Dislocation Mechanics of High-Rate Deformations
,” Metall. Mater. Trans. A
, 46
(10
), pp. 4438
–4453
. 9.
Eggert
, J. H.
, Smith
, R. F.
, Swift
, D. C.
, Rudd
, R. E.
, Fratanduono
, D. E.
, Braun
, D. G.
, Hawreliak
, J. A.
, McNaney
, J. M.
, and Collins
, G. W.
, 2015
, “Ramp Compression of Tantalum to 330 GPa
,” High Pressure Res.
, 35
(4
), pp. 339
–354
. 10.
Asay
, J. R.
, Ao
, T.
, Vogler
, T. J.
, Davis
, J. P.
, and Gray
, G. T.
, 2009
, “Yield Strength of Tantalum for Shockless Compression to 18 GPa
,” J. Appl. Phys.
, 106
(7
), p. 073515
. 11.
Zepeda-Ruiz
, L. A.
, Stukowski
, A.
, Oppelstrup
, T.
, and Bulatov
, V. V.
, 2017
, “Probing the Limits of Metal Plasticity With Molecular Dynamics Simulations
,” Nature
, 550
(7677
), pp. 492
–495
. 12.
Armstrong
, R. W.
, Arnold
, W.
, and Zerilli
, F. J.
, 2009
, “Dislocation Mechanics of Copper and Iron in High Rate Deformation Tests
,” J. Appl. Phys.
, 105
(2
), p. 023511
. 13.
Orowan
, E.
, 1940
, “Problems of Plastic Gliding
,” Proc. Phys. Soc.
, 52
(1
), pp. 8
–22
. 14.
Zerilli
, F. J.
, and Armstrong
, R. W.
, 1987
, “Dislocation-Mechanics-Based Constitutive Relations for Material Dynamics Calculations Calculations
,” J. Appl. Phys.
, 5
(5
), pp. 1816
–1825
. 15.
Zerilli
, F. J.
, and Armstrong
, R. W.
, 1990
, “Description of Tantalum Deformation Behavior by Dislocation Mechanics Based Constitutive Relations
,” J. Appl. Phys.
, 68
(4
), pp. 1580
–1591
. 16.
Lea
, L.
, Brown
, L.
, and Jardine
, A.
, 2020
, “Time Limited Self-Organised Criticality in the High Rate Deformation of Face Centred Cubic Metals
,” Commun. Mater.
, 1
(1
), pp. 1
–8
. 17.
Swegle
, J. W.
, and Grady
, D. E.
, 1985
, “Shock Viscosity and the Prediction of Shock Wave Rise Times
,” J. Appl. Phys.
, 58
(2
), pp. 692
–701
. 18.
Zerilli
, F. J.
, and Armstrong
, R. W.
, 1992
, “The Effect of Dislocation Drag on the Stress-Strain Behavior of FCC Metals
,” Acta Metall. Mater.
, 40
(8
), pp. 1803
–1808
. 19.
El Ters
, P.
, and Shehadeh
, M. A.
, 2019
, “Modeling the Temperature and High Strain Rate Sensitivity in BCC Iron: Atomistically Informed Multiscale Dislocation Dynamics Simulations
,” Int. J. Plast.
, 112
, pp. 257
–277
. 20.
Zbib
, H. M.
, and Diaz de la Rubia
, T.
, 2002
, “A Multiscale Model of Plasticity
,” Int. J. Plast.
, 18
(9
), pp. 1133
–1163
. 21.
Yasin
, H.
, Zbib
, H. M.
, and Khaleel
, M. A.
, 2001
, “Size and Boundary Effects in Discrete Dislocation Dynamics : Coupling With Continuum Finite Element
,” Mater. Sci. Eng. A
, 309
, pp. 294
–299
. 22.
Kattoura
, M.
, and Shehadeh
, M. A.
, 2014
, “On the Ultra-High-Strain Rate Shock Deformation in Copper Single Crystals: Multiscale Dislocation Dynamics Simulations
,” Philos. Mag. Lett.
, 94
(7
), pp. 415
–423
. 23.
Gillis
, P. P.
, Gilman
, J. J.
, and Taylor
, J. W.
, 1969
, “Stress Dependences of Dislocation Velocities
,” Philos. Mag.
, 20
(164
), pp. 279
–289
. 24.
Gurrutxaga-Lerma
, B.
, 2016
, “The Role of the Mobility Law of Dislocations in the Plastic Response of Shock Loaded Pure Metals
,” Modell. Simul. Mater. Sci. Eng.
, 24
(6
), p. 065006
. 25.
Zbib
, H. M.
, Hiratani
, M.
, and Shehadeh
, M. A.
, 2005
, “Multiscale Discrete Dislocation Dynamics Plasticity
,” Continuum Scale Simulation of Engineering Materials: Fundamentals-Microstructures-Process Applications
, pp. 201
–229
.26.
Bhate
, N.
, Clifton
, R. J.
, Kumar
, S.
, and Phillips
, R.
, 2002
, “Computational and Experimental Studies of Dislocation Dynamics,” Shock Compression in Condensed Matter–2001: Proceeding of the Conference of the American Physical Society Topical Group on Shock Compression of Condensed Matter
, M. D.
Furnish
, N. N.
Thadani
, and Y.
Hori
, eds., American Institute of Physics
, New York
.27.
Hirth
, J. P.
, Zbib
, H. M.
, and Lothe
, J.
, 1998
, “Forces on High Velocity Dislocations
,” Modell. Simul. Mater. Sci. Eng.
, 6
(2
), pp. 165
–169
. 28.
Leibfried
, G.
, 1950
, “Über den Einflußthermisch Angeregter Schallwellen auf die Plastische Deformation
,” Z. Phys.
, 127
(4
), pp. 344
–356
. 29.
Olmsted
, D. L.
, Hector
, L. G.
, Curtin
, W. A.
, and Clifton
, R. J.
, 2005
, “Atomistic Simulations of Dislocation Mobility in Al, Ni and Al/Mg Alloys
,” Modell. Simul. Mater. Sci. Eng.
, 13
(3
), p. 371–
388
. 30.
Firdu
, F. T.
, and Taskinen
, P.
, 2010
, “Densities of Molten and Solid Alloys of (Fe, Cu, Ni, Co)—S at Elevated Temperatures—Literature Review and Analysis
,” Aalto University Publications in Materials Science and Engineering, Multiprint Oy, Espoo
.31.
Tarumi
, R.
, Shiraishi
, K.
, and Hirao
, M.
, 2009
, “High Temperature Elastic Constants of α-Fe Single Crystal Studied by Electromagnetic Acoustic Resonance
,” ISIJ Int.
, 49
(9
), pp. 1432
–1435
. 32.
Sha
, X.
, and Cohen
, R. E.
, 2006
, “First-Principles Thermoelasticity of BCC Iron Under Pressure
,” Phys. Rev. B
, 74
(21
), p. 214111
. 33.
Wang
, Z. Q.
, and Beyerlein
, I. J.
, 2011
, “An Atomistically-Informed Dislocation Dynamics Model for the Plastic Anisotropy and Tension-Compression Asymmetry of BCC Metals
,” Int. J. Plast.
, 27
(10
), pp. 1471
–1484
. 34.
Gulseren
, O.
, and Cohen
, R. E.
, 2002
, “High Pressure Thermoelasticity of Body-Centered Cubic Tantalum
,” Phys. Rev. B
, 65
(6
), p. 064103
. 35.
El Ters
, P.
, and Shehadeh
, M. A.
, 2020
, “On the Strain Rate Sensitivity of Size-Dependent Plasticity in BCC Iron at Elevated Temperatures: Discrete Dislocation Dynamics Investigation
,” Mech. Mater.
, 148
, p. 103494
. 36.
Shehadeh
, M. A.
, 2012
, “Multiscale Dislocation Dynamics Simulations of Shock-Induced Plasticity in Small Volumes
,” Philos. Mag.
, 92
(10
), pp. 1173
–1197
. 37.
Shehadeh
, M. A.
, Bringa
, E. M.
, Zbib
, H. M.
, McNaney
, J. M.
, and Remington
, B. A.
, 2006
, “Simulation of Shock-Induced Plasticity Including Homogeneous and Heterogeneous Dislocation Nucleations
,” Appl. Phys. Lett.
, 89
(17
), p. 171918
. 38.
Shehadeh
, M. A.
, Zbib
, H. M.
, and De La Rubia
, T. D.
, 2005
, “Multiscale Dislocation Dynamics Simulations of Shock Compression in Copper Single Crystal
,” Int. J. Plast.
, 21
(12
), pp. 2369
–2390
. 39.
Shehadeh
, M. A.
, and Zbib
, H. M.
, 2016
, “On the Homogeneous Nucleation and Propagation of Dislocations Under Shock Compression
,” Philos. Mag.
, 96
(26
), pp. 2752
–2778
. 40.
Shehadeh
, M. A.
, 2011
, “Modeling Shock Induced Plasticity in Copper Single Crystal: Numerical and Strain Localization Issues
,” Adv. Mater. Res.
, 324
, pp. 193
–196
. 41.
Hammel
, B.
, Swift
, D.
, El-Dasher
, B.
, Kumar
, M.
, Collins
, G. W.
, and Florando
, J.
, 2012
, “Plastic Behavior of Polycrystalline Tantalum in the 5 × 107/s Regime
,” AIP Conf. Proc.
, 1426
(1
), pp. 931
–934
. 42.
Arnold
, W.
, 1992
, “Dynamisches Werkstoffverhalten von Armco-Eisen bei Stoßwellenbelastung (Only in German Available, “Dynamical Material Behavior of Armco-Iron Under Schock Wave Loading“
,” Ph.D. thesis
, VDI-Verlag
, Duesseldorf
.43.
Evans
, A. G.
, and Rawlings
, R. D.
, 1969
, “The Thermally Activated Deformation of Crystalline Materials
,” Phys. Status Solidi B
, 34
(1
), pp. 9
–31
. 44.
Zhu
, T.
, and Li
, J.
, 2010
, “Ultra-Strength Materials
,” Prog. Mater. Sci.
, 55
(7
), pp. 710
–757
. 45.
Armstrong
, R. W.
, 1973
, “Thermal Activation Strain Rate Analysis (TASRA) for Polycrystalline Metals
,” JSIR, 32.46.
Queyreau
, S.
, Marian
, J.
, Gilbert
, M. R.
, and Wirth
, B. D.
, 2011
, “Edge Dislocation Mobilities in BCC Fe Obtained by Molecular Dynamics
,” Phys. Rev. B
, 84
(6
), p. 064106
. 47.
Rudd
, R. E.
, Comley
, A. J.
, Hawreliak
, J.
, Maddox
, B.
, Park
, H. S.
, and Remington
, B. A.
, 2012
, “Theory and Simulation of 1D TO 3D Plastic Relaxation in Tantalum
,” AIP Conf. Proc.
, 1426
(1
), pp. 1379
–1382
. 48.
Tramontina
, D.
, Erhart
, P.
, Germann
, T.
, Hawreliak
, J.
, Higginbotham
, A.
, Park
, N.
, Ravelo
, R.
, Stukowski
, A.
, Suggit
, M.
, Tang
, Y.
, Wark
, J.
, and Bringa
, E.
, 2014
, “Molecular Dynamics Simulations of Shock-Induced Plasticity in Tantalum
,” High Energy Density Phys.
, 10
, pp. 9
–15
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