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

Anelasticity and Phase Transition During Ramp-Release in Tin

Journal Article · · Journal of Dynamic Behavior of Materials
 [1];  [1];  [2];  [1]
  1. Lawrence Livermore National Lab. (LLNL), Livermore, CA (United States)
  2. Sandia National Lab. (SNL-NM), Albuquerque, NM (United States)

This study examines the qualitative features of an anelasticity model associated with the bowing of dislocations in the presence of phase transition. A simple physically plausible mechanism is introduced to describe the interaction of anelasticity and the transformation. Varying the anelastic parameters results in strong differences in the deviatoric stress response. The model is applied to study the behavior of tin (Sn) and compared to data from ramp driven compression-release experiments. Tin exhibits a complex phase diagram within a relatively accessible range of temperature and pressures and the characterization of its phases is considered an open problem with significant scientific merit. The coupling between anelasticity, plasticity, and phase transformation contributes to release wave features traditionally associated with the phase transition effect alone suggesting the importance of accounting for the effects jointly. Posterior distributions of the plastic and anelastic parameters are computed using Bayesian-inference-based methods, further highlighting the importance of anelasticity in this regime.

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; AC04-94AL85000
OSTI ID:
1734592
Alternate ID(s):
OSTI ID: 1778062
Report Number(s):
LLNL-JRNL--812573; 1019533
Journal Information:
Journal of Dynamic Behavior of Materials, Journal Name: Journal of Dynamic Behavior of Materials Journal Issue: 2 Vol. 7; ISSN 2199-7446
Publisher:
SpringerCopyright Statement
Country of Publication:
United States
Language:
English

References (24)

A comparison of material flow strength models using Bayesian cross-validation journal November 2019
A metastable limit for compressed liquid water journal March 2007
Model of plastic deformation for extreme loading conditions journal January 2003
Laser interferometer for measuring high velocities of any reflecting surface journal November 1972
Magnetically accelerated, ultrahigh velocity flyer plates for shock wave experiments journal October 2005
A Multi-Phase Equation of State and Strength Model for Tin
  • Cox, G. A.
  • SHOCK COMPRESSION OF CONDENSED MATTER - 2005: Proceedings of the Conference of the American Physical Society Topical Group on Shock Compression of Condensed Matter, AIP Conference Proceedings https://doi.org/10.1063/1.2263300
conference January 2006
Successive phase transitions of tin under shock compression journal March 2008
Shock-induced bct-bcc transition and melting of tin identified by sound velocity measurements journal October 2008
Empirical Multi-Phase eos Modelling Issues
  • Cox, G. A.; Robinson, C. M.; Elert, Mark
  • SHOCK COMPRESSION OF CONDENSED MATTER 2009: Proceedings of the American Physical Society Topical Group on Shock Compression of Condensed Matter, AIP Conference Proceedings https://doi.org/10.1063/1.3295017
conference January 2009
Quasielastic release in shock‐compressed solids journal July 1992
A unified approach for extracting strength information from nonsimple compression waves. Part I: Thermodynamics and numerical implementation journal December 2011
Unloading and reloading response of shocked aluminum single crystals: Time-dependent anisotropic material description journal November 2012
Extracting strength from high pressure ramp-release experiments journal December 2013
An iterative forward analysis technique to determine the equation of state of dynamically compressed materials journal May 2017
Bayesian calibration of strength parameters using hydrocode simulations of symmetric impact shock experiments of Al-5083 journal November 2018
Crystal level continuum modelling of phase transformations: the α ↔ epsi transformation in iron journal June 2005
Tin at high pressure: An energy-dispersive x-ray-diffraction study to 120 GPa journal May 1989
Analytic model of the shear modulus at all temperatures and densities journal March 2003
Freezing kinetics in overcompressed water journal May 2007
High-pressure structural transformations of Sn up to 138 GPa: Angle-dispersive synchrotron x-ray diffraction study journal September 2013
High-pressure melting behavior of tin up to 105 GPa journal February 2017
X-Ray Diffraction of Solid Tin to 1.2 TPa journal August 2015
Observation of the shock-induced β-Sn to b.c.t.-Sn transition using time-resolved X-ray diffraction journal January 2019
Estimating material properties under extreme conditions by using Bayesian model calibration with functional outputs journal March 2018

Similar Records

Anelastic release from the shock-compressed state
Conference · Mon Dec 31 23:00:00 EST 1990 · OSTI ID:5773124

Anelastic release from the shock-compressed state
Conference · Mon Dec 31 23:00:00 EST 1990 · OSTI ID:5519341