In situ X-ray diffraction measurement of shock-wave-driven twinning and lattice dynamics

Abstract

Pressure-driven shock waves in solid materials can cause extreme damage and deformation. Understanding this deformation and the associated defects that are created in the material is crucial in the study of a wide range of phenomena, including planetary formation and asteroid impact sites1,2,3, the formation of interstellar dust clouds4, ballistic penetrators5, spacecraft shielding6 and ductility in high-performance ceramics7. At the lattice level, the basic mechanisms of plastic deformation are twinning (whereby crystallites with a mirror-image lattice form) and slip (whereby lattice dislocations are generated and move), but determining which of these mechanisms is active during deformation is challenging. Experiments that characterized lattice defects8,9,10,11 have typically examined the microstructure of samples after deformation, and so are complicated by post-shock annealing12 and reverberations. In addition, measurements have been limited to relatively modest pressures (less than 100 gigapascals). In situ X-ray diffraction experiments can provide insights into the dynamic behaviour of materials13, but have only recently been applied to plasticity during shock compression14,15,16,17 and have yet to provide detailed insight into competing deformation mechanisms. Here we present X-ray diffraction experiments with femtosecond resolution that capture in situ, lattice-level information on the microstructural processes that drive shock-wave-driven deformation. To demonstrate this method we shock-compress the body-centred-cubic material tantalum—an important material for high-energy-density physics owing to its high shock impedance and high X-ray opacity. Tantalum is also a material for which previous shock compression simulations18,19,20 and experiments8,9,10,11,12 have provided conflicting information about the dominant deformation mechanism. Our experiments reveal twinning and related lattice rotation occurring on the timescale of tens of picoseconds. In addition, despite the common association between twinning and strong shocks21, we find a transition from twinning to dislocation-slip-dominated plasticity at high pressure (more than 150 gigapascals), a regime that recovery experiments cannot accurately access. The techniques demonstrated here will be useful for studying shock waves and other high-strain-rate phenomena, as well as a broad range of processes induced by plasticity.

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Figure 1: Experimental configuration for shock compression and in situ X-ray diffraction.
Figure 2: Example X-ray diffraction data from (110)-fibre-textured tantalum before shock loading.
Figure 3: Diffraction patterns from tantalum from different shock-compression experiments.
Figure 4: Twin fraction, rotation angle and plastic strain computed from the diffraction data from separate shock experiments.

References

  1. 1

    Ashworth, J. R. & Schneider, H. Deformation and transformation in experimentally shock-loaded quartz. Phys. Chem. Miner. 11, 241–249 (1985)

    ADS  CAS  Article  Google Scholar 

  2. 2

    French, B. & Koeberl, C. The convincing identification of terrestrial meteorite impact structures: what works, what doesn’t, and why. Earth Sci. Rev. 98, 123–170 (2010)

    ADS  CAS  Article  Google Scholar 

  3. 3

    Gattacceca, J., Lamali, A., Rochette, P., Boustie, M. & Berthe, L. The effects of explosive-driven shocks on the natural remanent magnetization and the magnetic properties of rocks. Phys. Earth Planet. Inter. 162, 85–98 (2007)

    ADS  Article  Google Scholar 

  4. 4

    Draine, B. T. & Salpeter, E. E. Destruction mechanisms for interstellar dust. Astrophys. J. 231, 438–455 (1979)

    ADS  CAS  Article  Google Scholar 

  5. 5

    Pappu, S., Kennedy, C., Murr, L. E., Magness, L. S. & Kapoor, D. Microstructure analysis and comparison of tungsten alloy rod and [001] oriented columnar-grained tungsten rod ballistic penetrators. Mater. Sci. Eng. A 262, 115–128 (1999)

    Article  Google Scholar 

  6. 6

    Thoma, K., Schafer, F., Hiermaier, S. & Schneider, E. An approach to achieve progress in spacecraft shielding. Adv. Space Res. 34, 1063–1075 (2004)

    ADS  CAS  Article  Google Scholar 

  7. 7

    Chen, M. W., McCauley, J. W., Dandekar, D. P. & Bourne, N. K. Dynamic plasticity and failure of high-purity alumina under shock compression. Nat. Mater. 5, 614–618 (2006)

    ADS  CAS  Article  Google Scholar 

  8. 8

    Murr, L. E. et al. Shock-induced deformation twinning in tantalum. Acta Mater. 45, 157–175 (1997)

    CAS  Article  Google Scholar 

  9. 9

    Hsiung, L. L. & Lassila, D. H. Shock-induced deformation twinning and omega transformation in tantalum and tantalum-tungsten alloys. Acta Mater. 48, 4851–4865 (2000)

    CAS  Article  Google Scholar 

  10. 10

    Lu, C. H. et al. Laser compression of monocrystalline tantalum. Acta Mater. 60, 6601–6620 (2012)

    CAS  Article  Google Scholar 

  11. 11

    Florando, J. N., Barton, N. R., El-Dasher, B. S., McNaney, J. M. & Kumar, M. Analysis of deformation twinning in tantalum single crystals under shock loading conditions. J. Appl. Phys. 113, 083522 (2013)

    ADS  Article  Google Scholar 

  12. 12

    Lu, C. H. et al. Laser compression of nanocrystalline tantalum. Acta Mater. 61, 7767–7780 (2013)

    CAS  Article  Google Scholar 

  13. 13

    Loveridge-Smith, A. et al. Anomalous elastic response of silicon to uniaxial shock compression on nanosecond time scales. Phys. Rev. Lett. 86, 2349–2352 (2001)

    ADS  CAS  Article  Google Scholar 

  14. 14

    Suggit, M. J. et al. Nanosecond white-light Laue diffraction measurements of dislocation microstructure in shock-compressed single-crystal copper. Nat. Commun. 3, 1224 (2012)

    ADS  Article  Google Scholar 

  15. 15

    Milathianaki, D. et al. Femtosecond visualization of lattice dynamics in shock-compressed matter. Science 342, 220–223 (2013)

    ADS  CAS  Article  Google Scholar 

  16. 16

    Comley, A. J. et al. Strength of shock-loaded single-crystal tantalum [100] determined using in-situ broadband. Phys. Rev. Lett. 110, 115501 (2013)

    ADS  CAS  Article  Google Scholar 

  17. 17

    Wehrenberg, C. E. et al. Lattice-level observation of the elastic-to-plastic relaxation process with subnanosecond resolution in shock-compressed Ta using time-resolved in situ Laue diffraction. Phys. Rev. B 92, 104305 (2015)

    ADS  Article  Google Scholar 

  18. 18

    Rudd, R. E . et al. Theory and simulation of 1D to 3D plastic relaxation in tantalum. AIP Conf. Proc. 1426, 1379 (2012)

    ADS  CAS  Article  Google Scholar 

  19. 19

    Higginbotham, A. et al. Molecular dynamics simulations of shock-induced deformation twinning of a body-centered-cubic metal. Phys. Rev. B 88, 104105 (2013)

    ADS  Article  Google Scholar 

  20. 20

    Tramontina, D. et al. Molecular dynamics simulations of shock-induced plasticity in tantalum. High Energy Density Phys. 10, 9–15 (2014)

    ADS  CAS  Article  Google Scholar 

  21. 21

    Meyers, M. A. Dynamic Behavior of Materials Ch. 14 (John Wiley and Sons, 1994)

  22. 22

    McGonegle, D., Milathianaki, D., Remington, B. A., Wark, J. S. & Higginbotham, A. Simulations of in situ X-ray diffraction from uniaxially compressed highly textured polycrystalline targets. J. Appl. Phys. 118, 065902 (2015)

    ADS  Article  Google Scholar 

  23. 23

    Fleischer, R. L. Single crystal lattice rotation during compression. J. Mech. Phys. Solids 6, 301–306 (1958)

    ADS  Article  Google Scholar 

  24. 24

    Miljacic, L., Demers, S., Hong, Q.-J. & van de Walle, A. Equation of state of solid, liquid and gaseous tantalum from first principles. Calphad 51, 133–143 (2015)

    CAS  Article  Google Scholar 

  25. 25

    Lu, C. H., Hahn, E. N., Remington, B. A., Maddox, B. R. & Meyers, M. A. Phase transformation in tantalum under extreme laser deformation. Sci. Rep. 5, 15064 (2015)

    ADS  CAS  Article  Google Scholar 

  26. 26

    Ravelo, R., Germann, T. C., Guerrero, O., An, Q. & Holian, B. L. Shock-induced plasticity in tantalum single-crystal: interatomic potentials and large-scale molecular-dynamics simulations. Phys. Rev. B 88, 134101 (2013)

    ADS  Article  Google Scholar 

  27. 27

    Barton, N. R. et al. A multiscale strength model for extreme loading conditions. J. Appl. Phys. 109, 073501 (2011)

    ADS  Article  Google Scholar 

  28. 28

    Philipp, H. T., Hromalik, M., Tate, M., Koemer, L. & Gruner, S. M. Pixel array detector for X-ray free electron laser experiments. Nucl. Instrum. Methods A 649, 67–69 (2011)

    ADS  CAS  Article  Google Scholar 

  29. 29

    Mitchell, A. C. & Nellis, W. J. Shock compression of aluminum, copper, and tantalum. J. Appl. Phys. 52, 3363 (1981)

    ADS  CAS  Article  Google Scholar 

  30. 30

    Meyers, M. A. Dynamic Behavior of Materials Ch. 5 (John Wiley and Sons, 1994)

  31. 31

    Brown, J. M. & Shaner, J. W. in Shock Waves in Condensed Matter—1983 (eds Asay, J. R. et al.) 91 (Elsevier, 1984)

  32. 32

    Kalidindi, S. R. Incorporation of deformation twinning in crystal plasticity models. J. Mech. Phys. Solids 46, 267–290 (1998)

    ADS  CAS  Article  Google Scholar 

  33. 33

    Higginbotham, A. & McGonegle, D. Prediction of Debye–Scherrer diffraction patterns in arbitrarily strained samples. J. Appl. Phys. 115, 174906 (2014)

    ADS  Article  Google Scholar 

  34. 34

    Plimpton, S. Fast parallel algorithms for short-range molecular dynamics. J. Comput. Phys. 117, 1–19 (1995)

    ADS  CAS  Article  Google Scholar 

  35. 35

    Kimminau, G. et al. Simulating picosecond x-ray diffraction from shocked crystals using post-processing molecular dynamics calculations. J. Phys. Condens. Matter 20, 505203 (2008)

    Article  Google Scholar 

Download references

Acknowledgements

We thank P. Mirkarimi and C. Davis for preparing the targets. This work was performed under the auspices of the US Department of Energy by Lawrence Livermore National Laboratory under contract number DE-AC52-07NA27344, and Los Alamos National Laboratory under contract number DE-AC52-06NA25396. Use of the Linac Coherent Light Source (LCLS), SLAC National Accelerator Laboratory, is supported by the US Department of Energy, Office of Science, Office of Basic Energy Sciences under contract number DE-AC02-76SF00515. The MEC instrument is supported by the US Department of Energy, Office of Science, Office of Fusion Energy Sciences under contract number SF00515. This material is based on work supported by the US Department of Energy, Office of Science, Office of Fusion Energy Sciences, under award number DE-SCW-1507. J.S.W. is grateful to the UK EPSRC for support under grant EP/J017256/1. D.M. and M. Sliwa were supported by LLNS under contract numbers B595954 and B609694, respectively.

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Contributions

The experiments were conceived by C.E.W., D.M., B.A.R., A.H., M.Su., R.E.R. and J.S.W., and were performed by C.E.W., D.M., B.A.R., A.H., J.S.W., H.-S.P., D.S., A.L., C.B., H.J.L., B.N. and F.T. The data were analysed by C.E.W., D.M., A.L. and M. Sliwa and the results were interpreted by C.E.W., D.M., M. Suggit, A.H., B.A.R., J.S.W. and R.E.R. Molecular dynamics simulations were performed by D.M., A.H., L.Z.-R. and R.E.R. The manuscript was written by C.E.W., B.A.R., R.E.R., J.S.W. and D.M.

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Correspondence to C. E. Wehrenberg.

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Extended data figures and tables

Extended Data Figure 1 Diffraction angle (2θ) versus X-ray counts averaged over 2π in azimuthal angle for a shock pressure of 73 GPa.

The indices of the ambient pattern, which match the bcc phase with lattice parameter a = 3.308 Å, are marked in green. The driven pattern (black dots) matches the bcc phase with a = 3.051 Å. Indexed peak positions for the hexagonal phase are marked with red lines, and peaks corresponding to the ‘rumpled’ structure9 are marked with an asterisk. The bcc and hexagonal phases both overlap the observed peaks, but additional peaks are expected for the hexagonal phase that are not observed.

Extended Data Figure 2 Diffraction pattern for a 73-GPa shock.

The left panel shows the raw data; the bcc and hexagonal phases are overplotted on the right. The ambient bcc phase is marked in blue. The compressed and rotated bcc phase is marked in black, and the expected positions of the hexagonal phase are marked in white.

Extended Data Figure 3 Example VISAR streak image for a 130-GPa shock using a 250 μm phase plate.

The planar region of the shock, which is roughly similar in dimensions to the phase plate, breaks out of the tantalum free surface at 7.4 ns. The X-ray beam probes a 20-μm region in the centre of the planar shock.

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Wehrenberg, C., McGonegle, D., Bolme, C. et al. In situ X-ray diffraction measurement of shock-wave-driven twinning and lattice dynamics. Nature 550, 496–499 (2017). https://doi.org/10.1038/nature24061

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