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Title: Strength and deformation of shocked diamond single crystals: Orientation dependence

Abstract

Understanding and quantifying the strength or elastic limit of diamond single crystals is of considerable scientific and technological importance, and has been a subject of long standing theoretical and experimental interest. To examine the effect of crystalline anisotropy on strength and deformation of shocked diamond single crystals, plate impact experiments were conducted to measure wave profiles at various elastic impact stresses up to ~120 GPa along [110] and [111] crystal orientations. Using laser interferometry, particle velocity histories and shock velocities in the diamond samples were measured and were compared with similar measurements published previously for shock compression along the [100] direction. Wave profiles for all three orientations showed large elastic wave amplitudes followed by time-dependent inelastic deformation. From the measured wave profiles, the elastic limits were determined under well characterized uniaxial strain loading conditions. The measured elastic wave amplitudes for the [110] and [111] orientations were lower for higher elastic impact stress (stress attained for an elastic diamond response), consistent with the result reported previously for [100] diamond. The maximum resolved shear stress (MRSS) on the {111}(110) slip systems was determined for each orientation, revealing significant orientation dependence. The MRSS values for the [100] and [110] orientations (~33 GPa) aremore » 25%–30% of theoretical estimates; the MRSS value for the [111] orientation is significantly lower (~23 GPa). Our results demonstrate that the MRSS depends strongly on the stress component normal to the {111} planes or the resolved normal stress (RNS), suggesting that the RNS plays a key role in inhibiting the onset of inelastic deformation. Lower elastic wave amplitudes at higher peak stress and the effect of the RNS are inconsistent with typical dislocation slip mechanisms of inelastic deformation, suggesting instead an inelastic response characteristic of shocked brittle solids. The present results show that the elastic limit (or material strength) of diamond single crystals cannot be described using traditional isotropic approaches, and typical plasticity models cannot be used to describe the inelastic deformation of diamond. Analysis of the measured wave profiles beyond the elastic limit, including characterization of the peak state, requires numerical simulations that incorporate a time-dependent, anisotropic, inelastic deformation response. Development of such a material description for diamond is an important need.« less

Authors:
ORCiD logo [1];  [2];  [2]
  1. Los Alamos National Lab. (LANL), Los Alamos, NM (United States); Washington State Univ., Pullman, WA (United States)
  2. Washington State Univ., Pullman, WA (United States)
Publication Date:
Research Org.:
Los Alamos National Laboratory (LANL), Los Alamos, NM (United States); Washington State Univ., Pullman, WA (United States)
Sponsoring Org.:
USDOE National Nuclear Security Administration (NNSA)
OSTI Identifier:
1430007
Alternate Identifier(s):
OSTI ID: 1426837; OSTI ID: 1476638
Report Number(s):
LA-UR-17-28218
Journal ID: ISSN 2469-9950; PRBMDO; TRN: US1802489
Grant/Contract Number:  
AC52-06NA25396; NA0000970; NA0002007
Resource Type:
Accepted Manuscript
Journal Name:
Physical Review B
Additional Journal Information:
Journal Volume: 97; Journal Issue: 10; Journal ID: ISSN 2469-9950
Publisher:
American Physical Society (APS)
Country of Publication:
United States
Language:
English
Subject:
36 MATERIALS SCIENCE; Compressive strength; Crystal phenomena; Elastic deformation; Elasticity; Material failure

Citation Formats

Lang, John Michael Jr., Winey, J. M., and Gupta, Y. M. Strength and deformation of shocked diamond single crystals: Orientation dependence. United States: N. p., 2018. Web. doi:10.1103/PhysRevB.97.104106.
Lang, John Michael Jr., Winey, J. M., & Gupta, Y. M. Strength and deformation of shocked diamond single crystals: Orientation dependence. United States. https://doi.org/10.1103/PhysRevB.97.104106
Lang, John Michael Jr., Winey, J. M., and Gupta, Y. M. Thu . "Strength and deformation of shocked diamond single crystals: Orientation dependence". United States. https://doi.org/10.1103/PhysRevB.97.104106. https://www.osti.gov/servlets/purl/1430007.
@article{osti_1430007,
title = {Strength and deformation of shocked diamond single crystals: Orientation dependence},
author = {Lang, John Michael Jr. and Winey, J. M. and Gupta, Y. M.},
abstractNote = {Understanding and quantifying the strength or elastic limit of diamond single crystals is of considerable scientific and technological importance, and has been a subject of long standing theoretical and experimental interest. To examine the effect of crystalline anisotropy on strength and deformation of shocked diamond single crystals, plate impact experiments were conducted to measure wave profiles at various elastic impact stresses up to ~120 GPa along [110] and [111] crystal orientations. Using laser interferometry, particle velocity histories and shock velocities in the diamond samples were measured and were compared with similar measurements published previously for shock compression along the [100] direction. Wave profiles for all three orientations showed large elastic wave amplitudes followed by time-dependent inelastic deformation. From the measured wave profiles, the elastic limits were determined under well characterized uniaxial strain loading conditions. The measured elastic wave amplitudes for the [110] and [111] orientations were lower for higher elastic impact stress (stress attained for an elastic diamond response), consistent with the result reported previously for [100] diamond. The maximum resolved shear stress (MRSS) on the {111}(110) slip systems was determined for each orientation, revealing significant orientation dependence. The MRSS values for the [100] and [110] orientations (~33 GPa) are 25%–30% of theoretical estimates; the MRSS value for the [111] orientation is significantly lower (~23 GPa). Our results demonstrate that the MRSS depends strongly on the stress component normal to the {111} planes or the resolved normal stress (RNS), suggesting that the RNS plays a key role in inhibiting the onset of inelastic deformation. Lower elastic wave amplitudes at higher peak stress and the effect of the RNS are inconsistent with typical dislocation slip mechanisms of inelastic deformation, suggesting instead an inelastic response characteristic of shocked brittle solids. The present results show that the elastic limit (or material strength) of diamond single crystals cannot be described using traditional isotropic approaches, and typical plasticity models cannot be used to describe the inelastic deformation of diamond. Analysis of the measured wave profiles beyond the elastic limit, including characterization of the peak state, requires numerical simulations that incorporate a time-dependent, anisotropic, inelastic deformation response. Development of such a material description for diamond is an important need.},
doi = {10.1103/PhysRevB.97.104106},
journal = {Physical Review B},
number = 10,
volume = 97,
place = {United States},
year = {Thu Mar 01 00:00:00 EST 2018},
month = {Thu Mar 01 00:00:00 EST 2018}
}

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Cited by: 11 works
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Works referenced in this record:

Experimental Determination of Third-Order Elastic Constants of Diamond
journal, March 2011


Elastic anisotropy and slip systems in diamond structure elements
journal, July 1972


Effect of normal stress on the ideal shear strength in covalent crystals
journal, March 2008


Shock-Wave Exploration of the High-Pressure Phases of Carbon
journal, December 2008


Laser interferometer for measuring high velocities of any reflecting surface
journal, November 1972

  • Barker, L. M.; Hollenbach, R. E.
  • Journal of Applied Physics, Vol. 43, Issue 11
  • DOI: 10.1063/1.1660986

Elastic Moduli of Diamond as a Function of Pressure and Temperature
journal, July 1972

  • McSkimin, H. J.; Andreatch, P.
  • Journal of Applied Physics, Vol. 43, Issue 7
  • DOI: 10.1063/1.1661636

Ideal shear strength under compression and tension in C, Si, Ge, and cubic SiC: an ab initio density functional theory study
journal, September 2011


Shock compression of aluminum, copper, and tantalum
journal, May 1981

  • Mitchell, A. C.; Nellis, W. J.
  • Journal of Applied Physics, Vol. 52, Issue 5
  • DOI: 10.1063/1.329160

Strength and elastic deformation of natural and synthetic diamond crystals shock compressed along [100]
journal, June 2010

  • Lang, J. M.; Gupta, Y. M.
  • Journal of Applied Physics, Vol. 107, Issue 11
  • DOI: 10.1063/1.3448027

Shock Wave Compression of Hardened and Annealed 2024 Aluminum
journal, August 1961


Shock compression of diamond crystal
journal, April 1983


Third-order elastic constants of diamond determined from experimental data
journal, June 2016


Dislocation Dynamics and Single‐Crystal Constitutive Relations: Shock‐Wave Propagation and Precursor Decay
journal, May 1970

  • Johnson, J. N.; Jones, O. E.; Michaels, T. E.
  • Journal of Applied Physics, Vol. 41, Issue 6
  • DOI: 10.1063/1.1659227

Theoretical strength of perfect crystals
journal, October 1966


Effect of crystal orientation on dynamic strength of LiF
journal, December 1977

  • Gupta, Yogendra M.
  • Journal of Applied Physics, Vol. 48, Issue 12
  • DOI: 10.1063/1.323582

Stress dependence of elastic‐wave attenuation in LiF
journal, August 1975

  • Gupta, Y. M.
  • Journal of Applied Physics, Vol. 46, Issue 8
  • DOI: 10.1063/1.322244

Effects of Point Defects on Elastic Precursor Decay in LiF
journal, May 1972

  • Asay, J. R.; Fowles, G. R.; Durall, G. E.
  • Journal of Applied Physics, Vol. 43, Issue 5
  • DOI: 10.1063/1.1661464

Ideal strength of diamond, Si, and Ge
journal, November 2001


Nonlinear anisotropic description for shocked single crystals: Thermoelastic response and pure mode wave propagation
journal, August 2004

  • Winey, J. M.; Gupta, Y. M.
  • Journal of Applied Physics, Vol. 96, Issue 4
  • DOI: 10.1063/1.1767294

Dislocation mechanisms for stress relaxation in shocked LiF
journal, February 1975

  • Gupta, Y. M.; Duvall, G. E.; Fowles, G. R.
  • Journal of Applied Physics, Vol. 46, Issue 2
  • DOI: 10.1063/1.321678

Shock−wave compression of single−crystal beryllium
journal, February 1975

  • Pope, L. E.; Johnson, J. N.
  • Journal of Applied Physics, Vol. 46, Issue 2
  • DOI: 10.1063/1.321636

Ductile and brittle crystals
journal, March 1967

  • Kelly, A.; Tyson, W. R.; Cottrell, A. H.
  • The Philosophical Magazine: A Journal of Theoretical Experimental and Applied Physics, Vol. 15, Issue 135
  • DOI: 10.1080/14786436708220903

Instabilities in Diamond under High Shear Stress
journal, December 2000


Fracture of Brittle Solids
book, January 2010


Ideal shear strain of metals and ceramics
journal, September 2004


Plastic bending of diamond plates
journal, September 1965


Response of a Zr-based bulk amorphous alloy to shock wave compression
journal, September 2006

  • Turneaure, Stefan J.; Winey, J. M.; Gupta, Y. M.
  • Journal of Applied Physics, Vol. 100, Issue 6
  • DOI: 10.1063/1.2345606

Pressure strengthening: A possible route to obtaining 9 Mbar and metallic diamonds
journal, August 1991

  • Ruoff, Arthur L.; Luo, Huan
  • Journal of Applied Physics, Vol. 70, Issue 4
  • DOI: 10.1063/1.349441

The strength of diamond
journal, October 2005

  • Eremets, Mikhail I.; Trojan, Ivan A.; Gwaze, Patience
  • Applied Physics Letters, Vol. 87, Issue 14
  • DOI: 10.1063/1.2061853