Further Development of the Tamped Richtmyer-Meshkov Instability Method and Application to Molybdenum Dynamic Strength Calibration and Tabulation

Voorhees, T. J.; Padgiotis, A.; Zusmann, B.; Guo, S.; Vogler, T. J.

doi:10.1007/s40870-025-00485-7

Further Development of the Tamped Richtmyer-Meshkov Instability Method and Application to Molybdenum Dynamic Strength Calibration and Tabulation

Journal Article · Mon Oct 13 00:00:00 EDT 2025 · Journal of Dynamic Behavior of Materials

DOI:https://doi.org/10.1007/s40870-025-00485-7· OSTI ID:3020550

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Sandia National Lab. (SNL-CA), Livermore, CA (United States)
Sandia National Lab. (SNL-CA), Livermore, CA (United States); Texas A & M Univ., College Station, TX (United States)
Georgia Institute of Technology, Atlanta, GA (United States); Los Alamos National Laboratory (LANL), Los Alamos, NM (United States)
Sandia National Lab. (SNL-NM), Albuquerque, NM (United States)

The high pressure and high strain rate dynamic strength of Mo is experimentally and computationally investigated in the 3–20 GPa stress, 50–600 C temperature, and 10⁵–10⁶ /s strain rate regimes using a modified tamped Richtmyer-Meshkov instability (RMI) method. Modifications to the tamped RMI method include a method to determine loading states during strain, a new strength calibration function based on interface shape, and a robust uncertainty quantification method. These modifications improve fidelity of the tamped RMI method, allowing evaluation of the compensating effects of pressure hardening, strain rate hardening, strain hardening, and thermal softening. The new calibration function based on interface shape is not limited to sinusoidal corrugations and could be applied to additional interface shapes. Plate impact experiments are performed at Argonne National Laboratory’s Advanced Photon Source’s Dynamic Compression Sector operated by Washington State University (DCS), driving a planar shock front through a corrugated Mo-D₂O or Mo-C₈F₁₈ interface, forcing the corrugation to significantly deform. The extent of interfacial deformation, RMI growth, is experimentally observed using X-ray phase contrast imaging at the DCS. RMI jet lengths and jet shapes are extracted from the experimental radiographs, then used to calibrate numerical simulations performed with the Sandia National Laboratories (SNL) hydrocode CTH. Mo yield strength, Y, as a function of shock pressure, P, strain rate, $$\dot{\varepsilon }$$, accumulated strain, ϵ, relative volumetric compression, RD, and temperature, T, is determined for each impact experiment and presented. The calibrated Mo yield strength values range 1.2–1.8 GPa, with strength generally decreasing as the impact stress increases. This trend is likely caused by thermal softening or strain localization. The tabular yield strength versus loading condition data presented in this paper can be used to fit complex strength models.

View Accepted Manuscript (DOE)

Research Organization:: Sandia National Laboratories (SNL), Albuquerque, NM, and Livermore, CA (United States); Washington State Univ., Pullman, WA (United States)

Sponsoring Organization:: USDOE National Nuclear Security Administration (NNSA), Office of Defense Programs (DP)

Grant/Contract Number:: AC02-06CH11357; NA0003525; NA0003957

OSTI ID:: 3020550

Journal Information:: Journal of Dynamic Behavior of Materials, Journal Name: Journal of Dynamic Behavior of Materials; ISSN 2199-7454; ISSN 2199-7446

Publisher:: SpringerCopyright Statement

Country of Publication:: United States

Language:: English

References (27)

Investigation and Mechanical Modelling of Pure Molybdenum at High Strain-Rate and Temperature Scapin, Martina; Peroni, Lorenzo; Carra, Federico Journal of Dynamic Behavior of Materials, Vol. 2, Issue 4 https://doi.org/10.1007/s40870-016-0081-3	journal	October 2016
Estimation of Metal Strength at Very High Rates Using Free-Surface Richtmyer–Meshkov Instabilities Prime, Michael B.; Buttler, William T.; Buechler, Miles A. Journal of Dynamic Behavior of Materials, Vol. 3, Issue 2 https://doi.org/10.1007/s40870-017-0103-9	journal	March 2017
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
The effect of strain rate and temperature on the yield and flow of polycrystalline niobium and molybdenum Briggs✠, T. L.; Campbell, J. D. Acta Metallurgica, Vol. 20, Issue 5 https://doi.org/10.1016/0001-6160(72)90100-9	journal	May 1972
The spall strength of condensed matter Grady, D. E. Journal of the Mechanics and Physics of Solids, Vol. 36, Issue 3 https://doi.org/10.1016/0022-5096(88)90015-4	journal	January 1988
Review of experimental techniques for high rate deformation and shock studies Field, J. E.; Walley, S. M.; Proud, W. G. International Journal of Impact Engineering, Vol. 30, Issue 7 https://doi.org/10.1016/j.ijimpeng.2004.03.005	journal	August 2004
Strength behavior of materials at high pressures Vogler, Tracy J.; Chhabildas, Lalit C. International Journal of Impact Engineering, Vol. 33, Issue 1-12 https://doi.org/10.1016/j.ijimpeng.2006.09.069	journal	December 2006
Investigation of hydrodynamic instability growth in copper Sternberger, Z.; Opachich, Y.; Wehrenberg, C. International Journal of Mechanical Sciences, Vol. 149 https://doi.org/10.1016/j.ijmecsci.2017.08.051	journal	December 2018
Robust implementation of Physical Regime Sensitivity and demonstration on Richtmyer–Meshkov Instability experiments Dyer, Joshua W.; Waters, Jiajia; Prime, Michael B. Journal of the Mechanics and Physics of Solids, Vol. 188 https://doi.org/10.1016/j.jmps.2024.105656	journal	July 2024
Rayleigh–Taylor and Richtmyer–Meshkov instability induced flow, turbulence, and mixing. I Zhou, Ye Physics Reports, Vol. 720-722 https://doi.org/10.1016/j.physrep.2017.07.005	journal	December 2017
Rayleigh–Taylor and Richtmyer–Meshkov instability induced flow, turbulence, and mixing. II Zhou, Ye Physics Reports, Vol. 723-725 https://doi.org/10.1016/j.physrep.2017.07.008	journal	December 2017
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
A constitutive model for metals applicable at high‐strain rate Steinberg, D. J.; Cochran, S. G.; Guinan, M. W. Journal of Applied Physics, Vol. 51, Issue 3 https://doi.org/10.1063/1.327799	journal	March 1980
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
Spall strength of molybdenum single crystals Kanel, G. I.; Razorenov, S. V.; Utkin, A. V. Journal of Applied Physics, Vol. 74, Issue 12 https://doi.org/10.1063/1.355032	journal	December 1993
A rate-dependent constitutive model for molybdenum Steinberg, D. J. Journal of Applied Physics, Vol. 74, Issue 6 https://doi.org/10.1063/1.355316	journal	September 1993
Dynamic response of molybdenum shock compressed at 1400 °C Duffy, Thomas S.; Ahrens, Thomas J. Journal of Applied Physics, Vol. 76, Issue 2 https://doi.org/10.1063/1.357758	journal	July 1994
Spall strength of niobium and molybdenum Cotton, Matthew; Millett, Jeremy; Whiteman, Glenn AIP Conference Proceedings https://doi.org/10.1063/1.3686454	conference	January 2012
Extracting strength from high pressure ramp-release experiments Brown, J. L.; Alexander, C. S.; Asay, J. R. Journal of Applied Physics, Vol. 114, Issue 22 https://doi.org/10.1063/1.4847535	journal	December 2013
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
Experimental characterization and constitutive modeling of the mechanical behavior of molybdenum under electromagnetically applied compression-shear ramp loading Alexander, C. S.; Ding, J. L.; Asay, J. R. Journal of Applied Physics, Vol. 119, Issue 10 https://doi.org/10.1063/1.4943496	journal	March 2016
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
Tantalum strength at extreme strain rates from impact-driven Richtmyer-Meshkov instabilities Prime, Michael B.; Buttler, William T.; Fensin, Saryu J. Physical Review E, Vol. 100, Issue 5 https://doi.org/10.1103/PhysRevE.100.053002	journal	November 2019
Multiscale Richtmyer-Meshkov instability experiments to isolate the strain rate dependence of strength Prime, Michael B.; Fensin, Saryu J.; Jones, David R. Physical Review E, Vol. 109, Issue 1 https://doi.org/10.1103/PhysRevE.109.015002	journal	January 2024
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
Optical Response and Hugoniot State of Shock-Compressed Perfluorooctane Guo, Shuyue; Voorhees, Travis; Sapp, Adam 23rd Biennial Conference of the APS Topical Group on Shock Compression of Condensed Matter - Chicago, Illinois, United States of America - June - 2023 https://doi.org/10.2172/2430932	conference	June 2023

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