Multiscale Richtmyer-Meshkov instability experiments to isolate the strain rate dependence of strength
Abstract
Theoretical analysis of Richtmyer-Meshkov instability (RMI) experiments for solid strength shows that the strain rate for a given shock should be inversely proportional to the length scale of the sine wave perturbations when $$η_0k$$, the nondimensional amplitude to wavelength ratio, is held fixed. To isolate the effect of strain rate on strength, free-surface RMI specimens of annealed copper were prepared with three perturbation regions with the same $$η_0k$$ but different length scales, characterized by the wavelength λ varying by a factor of 4.9 from 65 to 130 to 320 µm. Three such targets with different fixed $$η_0k$$ s were impacted to a shock pressure of 25 GPa, and the instability evolution was measured with photon Doppler velocimetry. Strengths estimated by comparing hydrocode simulation to the data increased from 700 to 1200 MPa as λ decreased. The different $$η_0k$$ targets exercised increasing amounts of plastic strain yet showed no evidence of strain hardening. Physical regime sensitivity analysis determined that for 320 – 65 µm wavelength perturbations, the effective strain rates increased from 8.7 × 106 to 3.3 × 107 s–1, a factor of 3.8. Thus, the predicted strain rate scaling was mostly achieved but slightly suppressed by increased strength at higher rates. The RMI strength estimates were plotted against constitutive testing data on copper from the literature to show striking evidence of the strength upturn at higher strain rates.
- Publication Date:
- Research Org.:
- Los Alamos National Laboratory (LANL), Los Alamos, NM (United States)
- Sponsoring Org.:
- USDOE National Nuclear Security Administration (NNSA)
- OSTI Identifier:
- 2282920
- Alternate Identifier(s):
- OSTI ID: 2283369
- Report Number(s):
- LA-UR-23-29556
Journal ID: ISSN 2470-0045; PLEEE8; 015002
- Grant/Contract Number:
- 89233218CNA000001
- Resource Type:
- Published Article
- Journal Name:
- Physical Review. E
- Additional Journal Information:
- Journal Name: Physical Review. E Journal Volume: 109 Journal Issue: 1; Journal ID: ISSN 2470-0045
- Publisher:
- American Physical Society
- Country of Publication:
- United States
- Language:
- English
- Subject:
- 36 MATERIALS SCIENCE; copper strength; Richtmyer-Meshkov instability; high strain rate tests; compressive strength; shock waves
Citation Formats
Prime, Michael B., Fensin, Saryu J., Jones, David R., Dyer, Joshua W., and Martinez, Daniel T. Multiscale Richtmyer-Meshkov instability experiments to isolate the strain rate dependence of strength. United States: N. p., 2024.
Web. doi:10.1103/PhysRevE.109.015002.
Prime, Michael B., Fensin, Saryu J., Jones, David R., Dyer, Joshua W., & Martinez, Daniel T. Multiscale Richtmyer-Meshkov instability experiments to isolate the strain rate dependence of strength. United States. https://doi.org/10.1103/PhysRevE.109.015002
Prime, Michael B., Fensin, Saryu J., Jones, David R., Dyer, Joshua W., and Martinez, Daniel T. Fri .
"Multiscale Richtmyer-Meshkov instability experiments to isolate the strain rate dependence of strength". United States. https://doi.org/10.1103/PhysRevE.109.015002.
@article{osti_2282920,
title = {Multiscale Richtmyer-Meshkov instability experiments to isolate the strain rate dependence of strength},
author = {Prime, Michael B. and Fensin, Saryu J. and Jones, David R. and Dyer, Joshua W. and Martinez, Daniel T.},
abstractNote = {Theoretical analysis of Richtmyer-Meshkov instability (RMI) experiments for solid strength shows that the strain rate for a given shock should be inversely proportional to the length scale of the sine wave perturbations when $η_0k$, the nondimensional amplitude to wavelength ratio, is held fixed. To isolate the effect of strain rate on strength, free-surface RMI specimens of annealed copper were prepared with three perturbation regions with the same $η_0k$ but different length scales, characterized by the wavelength λ varying by a factor of 4.9 from 65 to 130 to 320 µm. Three such targets with different fixed $η_0k$ s were impacted to a shock pressure of 25 GPa, and the instability evolution was measured with photon Doppler velocimetry. Strengths estimated by comparing hydrocode simulation to the data increased from 700 to 1200 MPa as λ decreased. The different $η_0k$ targets exercised increasing amounts of plastic strain yet showed no evidence of strain hardening. Physical regime sensitivity analysis determined that for 320 – 65 µm wavelength perturbations, the effective strain rates increased from 8.7 × 106 to 3.3 × 107 s–1, a factor of 3.8. Thus, the predicted strain rate scaling was mostly achieved but slightly suppressed by increased strength at higher rates. The RMI strength estimates were plotted against constitutive testing data on copper from the literature to show striking evidence of the strength upturn at higher strain rates.},
doi = {10.1103/PhysRevE.109.015002},
journal = {Physical Review. E},
number = 1,
volume = 109,
place = {United States},
year = {Fri Jan 26 00:00:00 EST 2024},
month = {Fri Jan 26 00:00:00 EST 2024}
}
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