Skip to main content
U.S. Department of Energy
Office of Scientific and Technical Information

Experimental evaluation of shear modulus scaling of dynamic strength at extreme pressures

Journal Article · · Journal of Applied Physics
DOI:https://doi.org/10.1063/5.0012069· OSTI ID:1644079

Recent progress in the development of dynamic strength experimental platforms is allowing for unprecedented insight into the assumptions used to construct constitutive models operating in extreme conditions. In this work, we make a quantitative assessment of how tantalum strength scales with its shear modulus to pressures of hundreds of gigapascals through a cross-platform examination of three dynamic strength experiments. Specifically, we make use of Split–Hopkinson pressure bar and Richtmyer–Meshkov instability experiments to assess the low-pressure strain and strain rate dependence. Concurrent examination of magnetically driven ramp-release experiments up to pressures of 350GPa allows us to examine the pressure dependence. In this work, using a modern description of the shear modulus, validated against both ab initio theory and experimental measurements, we then assess how the experimentally measured pressure dependence scales with shear modulus. Furthermore, we find that the common assumption of scaling strength linearly with the shear modulus is too soft at high pressures and offer discussion as to how descriptions of slip mediated plasticity could result in an alternative scaling that is consistent with the data.

Research Organization:
Sandia National Laboratories (SNL-NM), Albuquerque, NM (United States); Los Alamos National Laboratory (LANL), Los Alamos, NM (United States); Lawrence Livermore National Laboratory (LLNL), Livermore, CA (United States)
Sponsoring Organization:
USDOE National Nuclear Security Administration (NNSA), Office of Defense Programs (DP)
Grant/Contract Number:
AC04-94AL85000; 89233218CNA000001; NA0003525
OSTI ID:
1644079
Alternate ID(s):
OSTI ID: 1642330
OSTI ID: 1775030
OSTI ID: 1671101
Report Number(s):
SAND--2020-7219J; 687372
Journal Information:
Journal of Applied Physics, Journal Name: Journal of Applied Physics Journal Issue: 4 Vol. 128; ISSN 0021-8979
Publisher:
American Institute of Physics (AIP)Copyright Statement
Country of Publication:
United States
Language:
English

References (52)

Constitutive behavior of tantalum and tantalum-tungsten alloys journal October 1996
Multi-megabar Dynamic Strength Measurements of Ta, Au, Pt, and Ir journal August 2020
The effect of pressure on the flow stress of metals journal March 1984
Plastic deformation of tantalum single crystals journal July 1967
Plastic deformation of tantalum single crystals journal February 1968
Deformation of high purity tantalum single crystals at 4.2 K journal January 1975
Orientation dependence of slip in niobium single crystals at 4.2 and 77 K journal March 1984
Shock-induced deformation twinning and omega transformation in tantalum and tantalum–tungsten alloys journal December 2000
Plastic anisotropy in b.c.c. transition metals journal March 1998
An atomistic dislocation mechanism of pressure-dependent plastic flow in aluminum journal September 1999
Multiscale modeling of plastic deformation of molybdenum and tungsten: I. Atomistic studies of the core structure and glide of 1/2〈111〉 screw dislocations at 0K journal November 2008
Multiscale modeling of plastic deformation of molybdenum and tungsten: II. Yield criterion for single crystals based on atomistic studies of glide of 1/2〈111〉 screw dislocations journal November 2008
Direct numerical simulation of deformation twinning in polycrystals journal November 2016
Orientation dependent spall strength of tantalum single crystals journal October 2018
Molecular dynamics simulations of shock-induced plasticity in tantalum journal March 2014
Coupled texture and non-Schmid effects on yield surfaces of body-centered cubic polycrystals predicted by a crystal plasticity finite element approach journal March 2017
Anomalous plasticity of body-centered-cubic crystals with non-Schmid effect journal May 2018
Velocity dependent dislocation drag from phonon wind and crystal geometry journal January 2019
Probing the limits of metal plasticity with molecular dynamics simulations journal September 2017
In situ X-ray diffraction measurement of shock-wave-driven twinning and lattice dynamics journal October 2017
Phase Transformation in Tantalum under Extreme Laser Deformation journal October 2015
Model of plastic deformation for extreme loading conditions journal January 2003
A constitutive model for metals applicable at high‐strain rate journal March 1980
A multiscale strength model for extreme loading conditions journal April 2011
Sound velocity measurements of tantalum under shock compression in the 10-110 GPa range journal February 2012
Theory and simulation of 1D TO 3D plastic relaxation in tantalum
  • Rudd, Robert E.; Comley, A. J.; Hawreliak, James
  • 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/10.1063/1.3686538
conference January 2012
Analysis of deformation twinning in tantalum single crystals under shock loading conditions journal February 2013
Extracting strength from high pressure ramp-release experiments journal December 2013
Flow strength of tantalum under ramp compression to 250 GPa journal January 2014
Sound velocity of tantalum under shock compression in the 18–142 GPa range journal May 2015
Effect of strain rate and dislocation density on the twinning behavior in tantalum journal April 2016
Tantalum sound velocity under shock compression journal April 2019
Rayleigh–Taylor instabilities in high-energy density settings on the National Ignition Facility journal June 2018
A note on the influence of hydrostatic pressure on dislocations journal April 1981
Ultrahigh pressure equation of state of tantalum to 310 GPa journal July 2019
Evaluating the effects of loading parameters on single-crystal slip in tantalum using molecular mechanics journal September 2013
Dislocation drag from phonon wind in an isotropic crystal at large velocities journal December 2019
The dilatation of dislocation kinks and jogs journal July 1962
BCC single crystal plasticity modeling and its experimental identification journal October 2008
Application of generalized non-Schmid yield law to low-temperature plasticity in bcc transition metals journal May 2013
Multiscale strength (MS) models: their foundation, their successes, and their challenges journal May 2014
Sound speed measurements in tantalum using the front surface impact technique journal May 2014
The effect of shear stress on the screw dislocation core structure in body-centred cubic lattices
  • Duesbery, M. S.; Vítek, V.; Bowen, David Keith
  • Proceedings of the Royal Society of London. A. Mathematical and Physical Sciences, Vol. 332, Issue 1588, p. 85-111 https://doi.org/10.1098/rspa.1973.0014
journal February 1973
Motion of a screw dislocation in a two-dimensional Peierls potential journal March 1997
Analytic model of the shear modulus at all temperatures and densities journal March 2003
First-principles thermoelasticity of transition metals at high pressure: Tantalum prototype in the quasiharmonic limit journal August 2006
Tantalum strength at extreme strain rates from impact-driven Richtmyer-Meshkov instabilities journal November 2019
High-Pressure—High-Temperature Polymorphism in Ta: Resolving an Ongoing Experimental Controversy journal June 2010
Crystal Plasticity journal December 1983
Plastic Anisotropy of Tantalum, Niobium, and Molybdenum journal February 1967
Orientation Dependence of Yield in Body-Centered Cubic Metals journal February 1967
Generalization of the Unified Analytic Melt-Shear Model to Multi-Phase Materials: Molybdenum as an Example journal February 2019