Simultaneous inference of the compressibility and inelastic response of tantalum under extreme loading

Schill, W. J.; Austin, R. A.; Schmidt, K. L.; Brown, J. L.; Barton, N. R.

doi:10.1063/5.0056437

Title: Simultaneous inference of the compressibility and inelastic response of tantalum under extreme loading

Journal Article · 04 August 2021 · Journal of Applied Physics

DOI: https://doi.org/10.1063/5.0056437 · OSTI ID:1820430

^[1]; Austin, R. A. ^[1]; Schmidt, K. L. ^[1];

^[2];

^[1]

Lawrence Livermore National Lab. (LLNL), Livermore, CA (United States)
Sandia National Lab. (SNL-NM), Albuquerque, NM (United States)

We study the deformation of tantalum under extreme loading conditions. Experimental velocity data are drawn from both ramp loading experiments on Sandia’s Z-machine and gas gun compression experiments. The drive conditions enable the study of materials under pressures greater than 100 GPa. We provide a detailed forward model of the experiments including a model of the magnetic drive for the Z-machine. Utilizing these experiments, we simultaneously infer several different types of physically motivated parameters describing equation of state, plasticity, and anelasticity via the computational device of Bayesian model calibration. Characteristics of the resulting calculated posterior distributions illustrate relationships among the parameters of interest via the degree of cross correlation. The calibrated velocity traces display good agreement with the experiments up to experimental uncertainty as well as improvement over previous calibrations. Examining the Z-shots and gun-shots together and separately reveals a trade-off between accuracy and transferability across different experimental conditions. Implications for model calibration, limitations from model form, and suggestions for improvements are discussed.

View Accepted Manuscript (DOE)

Cite

Export

Save

Research Organization:: Lawrence Livermore National Laboratory (LLNL), Livermore, CA (United States); Sandia National Laboratories (SNL-NM), Albuquerque, NM (United States)

Sponsoring Organization:: USDOE National Nuclear Security Administration (NNSA)

Grant/Contract Number:: AC52-07NA27344; NA0003525

OSTI ID:: 1820430

Report Number(s):: LLNL-JRNL--822329; SAND--2021-10988J; 699180

Journal Information:: Journal of Applied Physics, Journal Name: Journal of Applied Physics Journal Issue: 5 Vol. 130; ISSN 0021-8979

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

Country of Publication:: United States

Language:: English

References (47)

Markov logic networks Richardson, Matthew; Domingos, Pedro Machine Learning, Vol. 62, Issue 1-2 https://doi.org/10.1007/s10994-006-5833-1	journal	January 2006
Multi-megabar Dynamic Strength Measurements of Ta, Au, Pt, and Ir Brown, J. L.; Davis, J. -P.; Seagle, C. T. Journal of Dynamic Behavior of Materials, Vol. 7, Issue 2 https://doi.org/10.1007/s40870-020-00256-6	journal	August 2020
Shear localization and recrystallization in high-strain, high-strain-rate deformation of tantalum Nesterenko, V. F.; Meyers, M. A.; LaSalvia, J. C. Materials Science and Engineering: A, Vol. 229, Issue 1-2 https://doi.org/10.1016/S0921-5093(96)10847-9	journal	June 1997
Shock-induced deformation twinning in tantalum Murr, L. E.; Meyers, M. A.; Niou, C. -S. Acta Materialia, Vol. 45, Issue 1 https://doi.org/10.1016/S1359-6454(96)00145-0	journal	January 1997
Dislocation mobility and the mechanical response of b.c.c. single crystals: A mesoscopic approach Tang, M.; Kubin, L. P.; Canova, G. R. Acta Materialia, Vol. 46, Issue 9 https://doi.org/10.1016/S1359-6454(98)00006-8	journal	May 1998
Intragranular void formation in shock-spalled tantalum: Mechanisms and governing factors Cheng, M.; Li, C.; Tang, M. X. Acta Materialia, Vol. 148 https://doi.org/10.1016/j.actamat.2018.01.029	journal	April 2018
A comparison of material flow strength models using Bayesian cross-validation Bernstein, Jason; Schmidt, Kathleen; Rivera, David Computational Materials Science, Vol. 169 https://doi.org/10.1016/j.commatsci.2019.109098	journal	November 2019
Molecular dynamics simulations of shock-induced plasticity in tantalum Tramontina, Diego; Erhart, Paul; Germann, Timothy High Energy Density Physics, Vol. 10 https://doi.org/10.1016/j.hedp.2013.10.007	journal	March 2014
Comparison of plasticity models for tantalum and a modification of the PTW model for wide ranges of strain, strain rate, and temperature Kim, Jong-Bong; Shin, Hyunho International Journal of Impact Engineering, Vol. 36, Issue 5 https://doi.org/10.1016/j.ijimpeng.2008.11.003	journal	May 2009
Dynamic large strain characterization of tantalum using shear-compression and shear-tension testing Dorogoy, A.; Rittel, D. Mechanics of Materials, Vol. 112 https://doi.org/10.1016/j.mechmat.2017.06.003	journal	September 2017
Inverse problems: A Bayesian perspective Stuart, A. M. Acta Numerica, Vol. 19 https://doi.org/10.1017/S0962492910000061	journal	May 2010
An efficient method for unfolding kinetic pressure driven VISAR data Hess, M.; Peterson, K.; Harvey-Thompson, A. High Power Laser Science and Engineering, Vol. 3 https://doi.org/10.1017/hpl.2015.23	journal	January 2015
Development of a Multiphase Beryllium Equation of State and Physics-based Variations Wu, Christine J.; Myint, Philip C.; Pask, John E. The Journal of Physical Chemistry A, Vol. 125, Issue 7 https://doi.org/10.1021/acs.jpca.0c09809	journal	February 2021
Probing the limits of metal plasticity with molecular dynamics simulations Zepeda-Ruiz, Luis A.; Stukowski, Alexander; Oppelstrup, Tomas Nature, Vol. 550, Issue 7677 https://doi.org/10.1038/nature23472	journal	September 2017
Anisotropy and Strain Localization in Dynamic Impact Experiments of Tantalum Single Crystals Lim, Hojun; Carroll, Jay D.; Battaile, Corbett C. Scientific Reports, Vol. 8, Issue 1 https://doi.org/10.1038/s41598-018-23879-1	journal	April 2018
Incipient Spall Studies in Tantalum - Microstructural Effects Chhabildas, L. C. Shock Compression of Condensed Matter - 2001: 12th APS Topical Conference, AIP Conference Proceedings https://doi.org/10.1063/1.1483582	conference	January 2002
Shock response of tantalum: Lateral stress and shear strength through the front Gray, G. T.; Bourne, N. K.; Millett, J. C. F. Journal of Applied Physics, Vol. 94, Issue 10 https://doi.org/10.1063/1.1620679	journal	November 2003
Magnetically accelerated, ultrahigh velocity flyer plates for shock wave experiments Lemke, R. W.; Knudson, M. D.; Bliss, D. E. Journal of Applied Physics, Vol. 98, Issue 7 https://doi.org/10.1063/1.2084316	journal	October 2005
A unified approach for extracting strength information from nonsimple compression waves. Part I: Thermodynamics and numerical implementation Reed, Bryan W.; Stolken, James S.; Minich, Roger W. Journal of Applied Physics, Vol. 110, Issue 11 https://doi.org/10.1063/1.3653821	journal	December 2011
A unified approach for extracting strength information from nonsimple compression waves. Part II. Experiment and comparison with simulation Reed, Bryan W.; Reed Patterson, J.; Swift, Damian C. Journal of Applied Physics, Vol. 110, Issue 11 https://doi.org/10.1063/1.3662173	journal	December 2011
Shock compression and quasielastic release in tantalum Johnson, J. N.; Hixson, R. S.; Tonks, D. L. High-pressure science and technology—1993, AIP Conference Proceedings https://doi.org/10.1063/1.46295	conference	January 1994
Unloading and reloading response of shocked aluminum single crystals: Time-dependent anisotropic material description Winey, J. M.; Johnson, J. N.; Gupta, Y. M. Journal of Applied Physics, Vol. 112, Issue 9 https://doi.org/10.1063/1.4765012	journal	November 2012
Analysis of deformation twinning in tantalum single crystals under shock loading conditions Florando, Jeffrey N.; Barton, Nathan R.; El-Dasher, Bassem S. Journal of Applied Physics, Vol. 113, Issue 8 https://doi.org/10.1063/1.4792227	journal	February 2013
A multiscale strength model for tantalum over an extended range of strain rates Barton, N. R.; Rhee, M. Journal of Applied Physics, Vol. 114, Issue 12 https://doi.org/10.1063/1.4822027	journal	September 2013
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
Flow strength of tantalum under ramp compression to 250 GPa Brown, J. L.; Alexander, C. S.; Asay, J. R. Journal of Applied Physics, Vol. 115, Issue 4 https://doi.org/10.1063/1.4863463	journal	January 2014
Response and representation of ductile damage under varying shock loading conditions in tantalum Bronkhorst, C. A.; Gray, G. T.; Addessio, F. L. Journal of Applied Physics, Vol. 119, Issue 8 https://doi.org/10.1063/1.4941823	journal	February 2016
Effect of strain rate and dislocation density on the twinning behavior in tantalum Florando, Jeffrey N.; El-Dasher, Bassem S.; Chen, Changqiang AIP Advances, Vol. 6, Issue 4 https://doi.org/10.1063/1.4948528	journal	April 2016
An iterative forward analysis technique to determine the equation of state of dynamically compressed materials Ali, S. J.; Kraus, R. G.; Fratanduono, D. E. Journal of Applied Physics, Vol. 121, Issue 19 https://doi.org/10.1063/1.4983067	journal	May 2017
Sensitivity analysis of strength models using Bayesian adaptive splines Schmidt, Kathleen; Bernstein, Jason; Barton, Nathan SHOCK COMPRESSION OF CONDENSED MATTER - 2017: Proceedings of the Conference of the American Physical Society Topical Group on Shock Compression of Condensed Matter, AIP Conference Proceedings https://doi.org/10.1063/1.5044954	conference	January 2018
Effect of peak stress and tensile strain-rate on spall in tantalum Jones, D. R.; Fensin, S. J.; Martinez, D. T. Journal of Applied Physics, Vol. 124, Issue 8 https://doi.org/10.1063/1.5045045	journal	August 2018
Bayesian calibration of strength parameters using hydrocode simulations of symmetric impact shock experiments of Al-5083 Walters, David J.; Biswas, Ayan; Lawrence, Earl C. Journal of Applied Physics, Vol. 124, Issue 20 https://doi.org/10.1063/1.5051442	journal	November 2018
Spall fracture in additive manufactured tantalum Jones, D. R.; Fensin, S. J.; Ndefru, B. G. Journal of Applied Physics, Vol. 124, Issue 22 https://doi.org/10.1063/1.5063930	journal	December 2018
Anelastic effects on reverse loading – Connection to evolving dislocation structure Barton, Nathan R.; Austin, Ryan A.; Brown, Justin L. SHOCK COMPRESSION OF CONDENSED MATTER - 2019: Proceedings of the Conference of the American Physical Society Topical Group on Shock Compression of Condensed Matter, AIP Conference Proceedings https://doi.org/10.1063/12.0000914	conference	January 2020
Experimental evaluation of shear modulus scaling of dynamic strength at extreme pressures Brown, J. L.; Prime, M. B.; Barton, N. R. Journal of Applied Physics, Vol. 128, Issue 4 https://doi.org/10.1063/5.0012069	journal	July 2020
Development of uncertainty-aware equation-of-state models: Application to copper Ali, S. J.; Swift, D. C.; Wu, C. J. Journal of Applied Physics, Vol. 128, Issue 18 https://doi.org/10.1063/5.0029723	journal	November 2020
Rayleigh–Taylor instabilities in high-energy density settings on the National Ignition Facility Remington, Bruce A.; Park, Hye-Sook; Casey, Daniel T. Proceedings of the National Academy of Sciences, Vol. 116, Issue 37 https://doi.org/10.1073/pnas.1717236115	journal	June 2018
Estimation of statistical errors in molecular simulation calculations Straatsma, T. P.; Berendsen, H. J. C.; Stam, A. J. Molecular Physics, Vol. 57, Issue 1 https://doi.org/10.1080/00268978600100071	journal	January 1986
Ultrahigh pressure equation of state of tantalum to 310 GPa Burrage, Kaleb C.; Perreault, Christopher S.; Moss, Eric K. High Pressure Research, Vol. 39, Issue 3 https://doi.org/10.1080/08957959.2019.1641203	journal	July 2019
Bayesian inverse problems for functions and applications to fluid mechanics Cotter, S. L.; Dashti, M.; Robinson, J. C. Inverse Problems, Vol. 25, Issue 11 https://doi.org/10.1088/0266-5611/25/11/115008	journal	October 2009
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
Probing the Solid Phase of Noble Metal Copper at Terapascal Conditions Fratanduono, D. E.; Smith, R. F.; Ali, S. J. Physical Review Letters, Vol. 124, Issue 1 https://doi.org/10.1103/PhysRevLett.124.015701	journal	January 2020
Estimating material properties under extreme conditions by using Bayesian model calibration with functional outputs Brown, J. L.; Hund, L. B. Journal of the Royal Statistical Society: Series C (Applied Statistics), Vol. 67, Issue 4 https://doi.org/10.1111/rssc.12273	journal	March 2018
Approximation of Bayesian Inverse Problems for PDEs Cotter, S. L.; Dashti, M.; Stuart, A. M. SIAM Journal on Numerical Analysis, Vol. 48, Issue 1 https://doi.org/10.1137/090770734	journal	January 2010
Bayesian Data Analysis Gelman, Andrew; Carlin, John B.; Stern, Hal S. https://doi.org/10.1201/b16018	book	November 2013
Limited Range Sesame EOS for Ta Greeff, Carl William; Crockett, Scott; Rudin, Sven Peter https://doi.org/10.2172/1351253	report	March 2017
Probabilistic programming in Python using PyMC3 Salvatier, John; Wiecki, Thomas V.; Fonnesbeck, Christopher PeerJ Computer Science, Vol. 2 https://doi.org/10.7717/peerj-cs.55	journal	January 2016

Similar Records

Inference of strength and phase transition kinetics in dynamically-compressed tin

Journal Article · 2023 · Journal of Applied Physics · OSTI ID:2204462

Schill, William J.; Schmidt, K. L.; Austin, Ryan A.; +4 more

MULTI-MEGABAR MEASUREMENT OF THE PRINCIPAL QUASI-ISENTROPE FOR TANTALUM

Journal Article · 2009 · AIP Conference Proceedings · OSTI ID:21366865

Davis, Jean-Paul; Knudson, Marcus D

Estimating Material Properties Under Extreme Conditions by Using Bayesian Model Calibration with Functional Outputs

Journal Article · 2018 · Journal of the Royal Statistical Society, Series C: Applied Statistics · OSTI ID:1958638

Brown, J. L.; Hund, L. B.

Related Subjects

71 CLASSICAL AND QUANTUM MECHANICS
GENERAL PHYSICS
Engineering - Mechanical and civil engineering
Materials science
Mathematics and Computing
Physics - Condensed matter physics

Title: Simultaneous inference of the compressibility and inelastic response of tantalum under extreme loading

Citation Formats

References (47)

Similar Records

Related Subjects