Elucidating size effects on the yield strength of single-crystal Cu via the Richtmyer–Meshkov instability

Stewart, James A.; Olles, Joseph D.; Wood, Mitchell A.

doi:10.1063/5.0082495

Elucidating size effects on the yield strength of single-crystal Cu via the Richtmyer–Meshkov instability

Journal Article · Wed Mar 16 00:00:00 EDT 2022 · Journal of Applied Physics

DOI:https://doi.org/10.1063/5.0082495· OSTI ID:1882898

Stewart, James A. ^[1]; ^[2]; ^[1]

Sandia National Lab. (SNL-NM), Albuquerque, NM (United States)
Naval Surface Warfare Center—Indian Head Division, Indian Head, MD (United States)

Capturing the dynamic response of a material under high strain-rate deformation often demands challenging and time consuming experimental effort. While shock hydrodynamic simulation methods can aid in this area, a priori characterizations of the material strength under shock loading and spall failure are needed in order to parameterize constitutive models needed for these computational tools. Moreover, parameterizations of strain-rate-dependent strength models are needed to capture the full suite of Richtmyer–Meshkov instability (RMI) behavior of shock compressed metals, creating an unrealistic demand for these training data solely on experiments. Herein, we sweep a large range of geometric, crystallographic, and shock conditions within molecular dynamics (MD) simulations and demonstrate the breadth of RMI in Cu that can be captured from the atomic scale. In this work, yield strength measurements from jetted and arrested material from a sinusoidal surface perturbation were quantified as Y_RMI = 0.787 ± 0.374 GPa, higher than strain-rate-independent models used in experimentally matched hydrodynamic simulations. Defect-free, single-crystal Cu samples used in MD will overestimate Y_RMI, but the drastic scale difference between experiment and MD is highlighted by high confidence neighborhood clustering predictions of RMI characterizations, yielding incorrect classifications.

View Accepted Manuscript (DOE)

Research Organization:: Sandia National Laboratories (SNL-NM), Albuquerque, NM (United States)

Sponsoring Organization:: USDOE; USDOE Laboratory Directed Research and Development (LDRD) Program; USDOE National Nuclear Security Administration (NNSA)

Grant/Contract Number:: NA0003525

OSTI ID:: 1882898

Alternate ID(s):: OSTI ID: 1855294

Report Number(s):: SAND2022-2593J; 703913

Journal Information:: Journal of Applied Physics, Journal Name: Journal of Applied Physics Journal Issue: 11 Vol. 131; ISSN 0021-8979

Publisher:: American Institute of Physics (AIP)Copyright Statement

Country of Publication:: United States

Language:: English

References (40)

Dynamic Behavior of Materials Meyers, Marc Andre https://doi.org/10.1002/9780470172278	book	September 1994
Fast Parallel Algorithms for Short-Range Molecular Dynamics Plimpton, Steve Journal of Computational Physics, Vol. 117, Issue 1 https://doi.org/10.1006/jcph.1995.1039	journal	March 1995
High Rates and Impact Experiments Ramesh, Kaliat T. Springer Handbook of Experimental Solid Mechanics https://doi.org/10.1007/978-0-387-30877-7_33	book	January 2008
Shock Waves and High-Strain-Rate Phenomena in Metals Meyers, Marc A.; Murr, Lawrence E. https://doi.org/10.1007/978-1-4613-3219-0	book	January 1981
Shock Wave Compression of Condensed Matter Forbes, Jerry W. https://doi.org/10.1007/978-3-642-32535-9	book	January 2012
Effect of the strain rate on the tensile strength of a copper shaped-charge jet Silvestrov, V. V.; Gorshkov, N. N. Combustion, Explosion, and Shock Waves, Vol. 33, Issue 1 https://doi.org/10.1007/BF02671859	journal	January 1997
Tamped Richtmyer–Meshkov Instability Experiments to Probe High-Pressure Material Strength Vogler, T. J.; Hudspeth, M. C. Journal of Dynamic Behavior of Materials, Vol. 7, Issue 2 https://doi.org/10.1007/s40870-020-00288-y	journal	February 2021
The Effect of Liquid Tamping Media on the Growth of Richtmyer–Meshkov Instability in Copper Olles, J. D.; Hudspeth, M. C.; Tilger, C. F. Journal of Dynamic Behavior of Materials, Vol. 7, Issue 2 https://doi.org/10.1007/s40870-021-00305-8	journal	April 2021
CTH: A three-dimensional shock wave physics code McGlaun, J. M.; Thompson, S. L.; Elrick, M. G. International Journal of Impact Engineering, Vol. 10, Issue 1-4 https://doi.org/10.1016/0734-743X(90)90071-3	journal	January 1990
On the ultimate tensile strength of tantalum Hahn, Eric N.; Germann, Timothy C.; Ravelo, Ramon Acta Materialia, Vol. 126 https://doi.org/10.1016/j.actamat.2016.12.033	journal	March 2017
Orientation dependent spall strength of tantalum single crystals Hahn, Eric N.; Fensin, Saryu J.; Germann, Timothy C. Acta Materialia, Vol. 159 https://doi.org/10.1016/j.actamat.2018.07.073	journal	October 2018
LAMMPS - a flexible simulation tool for particle-based materials modeling at the atomic, meso, and continuum scales Thompson, Aidan P.; Aktulga, H. Metin; Berger, Richard Computer Physics Communications, Vol. 271 https://doi.org/10.1016/j.cpc.2021.108171	journal	February 2022
Investigating phase transitions and strength in single-crystal sapphire using shock–reshock loading techniques Reinhart, W. D.; Chhabildas, L. C.; Vogler, T. J. International Journal of Impact Engineering, Vol. 33, Issue 1-12 https://doi.org/10.1016/j.ijimpeng.2006.09.083	journal	December 2006
Eulerian Hydrocode Estimates of Richtmyer-Meshkov Instability Growth and Arrest Rojas, S. P.; Harstad, E. N.; Schmitt, R. G. Procedia Engineering, Vol. 204 https://doi.org/10.1016/j.proeng.2017.09.780	journal	January 2017
Richtmyer–Meshkov instability growth: experiment, simulation and theory Holmes, Richard L.; Dimonte, Guy; Fryxell, Bruce Journal of Fluid Mechanics, Vol. 389 https://doi.org/10.1017/S0022112099004838	journal	June 1999
Unstable Richtmyer–Meshkov growth of solid and liquid metals in vacuum Buttler, W. T.; Oró, D. M.; Preston, D. L. Journal of Fluid Mechanics, Vol. 703 https://doi.org/10.1017/jfm.2012.190	journal	June 2012
Shock deformation of face-centred-cubic metals on subnanosecond timescales Bringa, E. M.; Rosolankova, K.; Rudd, R. E. Nature Materials, Vol. 5, Issue 10 https://doi.org/10.1038/nmat1735	journal	September 2006
Large-scale molecular dynamics simulations of particulate ejection and Richtmyer-Meshkov instability development in shocked copper Germann, T. C.; Dimonte, G.; Hammerberg, J. E. DYMAT 2009 - 9th International Conferences on the Mechanical and Physical Behaviour of Materials under Dynamic Loading https://doi.org/10.1051/dymat/2009212	conference	September 2009
Molecular Dynamics Simulations of the Richtmyer-Meshkov Instability in Shock Loaded Solids Zybin, S. V. SHOCK COMPRESSION OF CONDENSED MATTER - 2005: Proceedings of the Conference of the American Physical Society Topical Group on Shock Compression of Condensed Matter, AIP Conference Proceedings https://doi.org/10.1063/1.2263355	conference	January 2006
Compact system for high-speed velocimetry using heterodyne techniques Strand, O. T.; Goosman, D. R.; Martinez, C. Review of Scientific Instruments, Vol. 77, Issue 8 https://doi.org/10.1063/1.2336749	journal	August 2006
Shock-induced spall in solid and liquid Cu at extreme strain rates Luo, Sheng-Nian; An, Qi; Germann, Timothy C. Journal of Applied Physics, Vol. 106, Issue 1 https://doi.org/10.1063/1.3158062	journal	July 2009
Simulations and model of the nonlinear Richtmyer–Meshkov instability Dimonte, Guy; Ramaprabhu, P. Physics of Fluids, Vol. 22, Issue 1 https://doi.org/10.1063/1.3276269	journal	January 2010
A constitutive model for strain rates from 10 ⁻ ⁴ to 10 ⁶ s ⁻ ¹ Steinberg, D. J.; Lund, C. M. Journal of Applied Physics, Vol. 65, Issue 4 https://doi.org/10.1063/1.342968	journal	February 1989
Richtmyer-Meshkov instability examinedwith large-scalemolecular dynamics simulations Cherne, Frank J.; Dimonte, Guy; Germann, Timothy C. SHOCK COMPRESSION OF CONDENSED MATTER - 2011: Proceedings of the Conference of the American Physical Society Topical Group on Shock Compression of Condensed Matter, AIP Conference Proceedings https://doi.org/10.1063/1.3686521	conference	January 2012
Gas gun shock experiments with single-pulse x-ray phase contrast imaging and diffraction at the Advanced Photon Source Luo, S. N.; Jensen, B. J.; Hooks, D. E. Review of Scientific Instruments, Vol. 83, Issue 7 https://doi.org/10.1063/1.4733704	journal	July 2012
Jet formation in cerium metal to examine material strength Jensen, B. J.; Cherne, F. J.; Prime, M. B. Journal of Applied Physics, Vol. 118, Issue 19 https://doi.org/10.1063/1.4935879	journal	November 2015
X-ray imaging and 3D reconstruction of in-flight exploding foil initiator flyers Willey, T. M.; Champley, K.; Hodgin, R. Journal of Applied Physics, Vol. 119, Issue 23 https://doi.org/10.1063/1.4953681	journal	June 2016
A molecular dynamics study of dislocation density generation and plastic relaxation during shock of single crystal Cu Sichani, Mehrdad M.; Spearot, Douglas E. Journal of Applied Physics, Vol. 120, Issue 4 https://doi.org/10.1063/1.4959075	journal	July 2016
Extreme measurements with Photonic Doppler Velocimetry (PDV) Dolan, D. H. Review of Scientific Instruments, Vol. 91, Issue 5 https://doi.org/10.1063/5.0004363	journal	May 2020
Strength of porous α-SiO ₂ in a shock loaded environment: Calibration via Richtmyer–Meshkov instability and validation via Mach lens Hudspeth, Matthew; Olles, Joseph; Mandal, Anirban Journal of Applied Physics, Vol. 128, Issue 20 https://doi.org/10.1063/5.0028026	journal	November 2020
The strength of single crystal copper under uniaxial shock compression at 100 GPa Murphy, W. J.; Higginbotham, A.; Kimminau, G. Journal of Physics: Condensed Matter, Vol. 22, Issue 6 https://doi.org/10.1088/0953-8984/22/6/065404	journal	January 2010
Dynamic experiment using IMPULSE at the Advanced Photon Source Jensen, B. J.; Ramos, K. J.; Iverson, A. J. Journal of Physics: Conference Series, Vol. 500, Issue 4 https://doi.org/10.1088/1742-6596/500/4/042001	journal	May 2014
Structural stability and lattice defects in copper: Ab initio , tight-binding, and embedded-atom calculations Mishin, Y.; Mehl, M. J.; Papaconstantopoulos, D. A. Physical Review B, Vol. 63, Issue 22 https://doi.org/10.1103/PhysRevB.63.224106	journal	May 2001
Richtmyer-Meshkov instability in elastic-plastic media Piriz, A. R.; López Cela, J. J.; Tahir, N. A. Physical Review E, Vol. 78, Issue 5 https://doi.org/10.1103/PhysRevE.78.056401	journal	November 2008
Use of the Richtmyer-Meshkov Instability to Infer Yield Stress at High-Energy Densities Dimonte, Guy; Terrones, G.; Cherne, F. J. Physical Review Letters, Vol. 107, Issue 26 https://doi.org/10.1103/PhysRevLett.107.264502	journal	December 2011
Quantitative theory of Richtmyer-Meshkov instability Grove, John W.; Holmes, Richard; Sharp, David H. Physical Review Letters, Vol. 71, Issue 21 https://doi.org/10.1103/PhysRevLett.71.3473	journal	November 1993
Billion atom molecular dynamics simulations of carbon at extreme conditions and experimental time and length scales Nguyen-Cong, Kien; Willman, Jonathan T.; Moore, Stan G. Proceedings of the International Conference for High Performance Computing, Networking, Storage and Analysis https://doi.org/10.1145/3458817.3487400	conference	November 2021
T HE R ICHTMYER -M ESHKOV I NSTABILITY Brouillette, Martin Annual Review of Fluid Mechanics, Vol. 34, Issue 1 https://doi.org/10.1146/annurev.fluid.34.090101.162238	journal	January 2002
Computational aspects of many-body potentials Plimpton, Steven J.; Thompson, Aidan P. MRS Bulletin, Vol. 37, Issue 5 https://doi.org/10.1557/mrs.2012.96	journal	May 2012
ALE3D: An Arbitrary Lagrangian-Eulerian Multi-Physics Code Noble, Charles; Anderson, Andrew; Barton, Nathan https://doi.org/10.2172/1361589	report	May 2017

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