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Title: On a physics-based model equation for shock-position evolution in PMMA

Abstract

A governing differential equation for shock position in PMMA was derived from momentum conservation and an experimentally determined decay law for shock pressure. A new multi-diagnostic characterization method for measuring detonator pressure and wave shape output in PMMA witness blocks provided temporally resolved, 1-D, shock-position data that was iteratively fit by solutions to the governing equation via a unique genetic algorithm solver. The goal was to calculate a solution that describes the temporal evolution of shock pressure in PMMA starting at the detonator interface. The empirical decay law was investigated using experimental data, where different regimes were considered for the decay coefficients. A successful solution provides extensive performance information that is directly relevant to the understanding and characterization of detonator function.

Authors:
 [1];  [1];  [1]
  1. Los Alamos National Lab. (LANL), Los Alamos, NM (United States)
Publication Date:
Research Org.:
Los Alamos National Lab. (LANL), Los Alamos, NM (United States)
Sponsoring Org.:
USDOE
OSTI Identifier:
1565884
Report Number(s):
LA-UR-17-28278
Journal ID: ISSN 0094-243X
Grant/Contract Number:  
89233218CNA000001
Resource Type:
Accepted Manuscript
Journal Name:
AIP Conference Proceedings
Additional Journal Information:
Journal Volume: 1979; Journal Issue: 1; Conference: 20.Biennial APS Conference on Shock Compression of Condensed Matter (SCCM-2017) , St. Louis, MO (United States), 9-14 July 2017; Journal ID: ISSN 0094-243X
Publisher:
American Institute of Physics (AIP)
Country of Publication:
United States
Language:
English
Subject:
75 CONDENSED MATTER PHYSICS, SUPERCONDUCTIVITY AND SUPERFLUIDITY

Citation Formats

Lieber, Mark, Murphy, Michael, and Biss, Matthew. On a physics-based model equation for shock-position evolution in PMMA. United States: N. p., 2018. Web. doi:10.1063/1.5045013.
Lieber, Mark, Murphy, Michael, & Biss, Matthew. On a physics-based model equation for shock-position evolution in PMMA. United States. https://doi.org/10.1063/1.5045013
Lieber, Mark, Murphy, Michael, and Biss, Matthew. Tue . "On a physics-based model equation for shock-position evolution in PMMA". United States. https://doi.org/10.1063/1.5045013. https://www.osti.gov/servlets/purl/1565884.
@article{osti_1565884,
title = {On a physics-based model equation for shock-position evolution in PMMA},
author = {Lieber, Mark and Murphy, Michael and Biss, Matthew},
abstractNote = {A governing differential equation for shock position in PMMA was derived from momentum conservation and an experimentally determined decay law for shock pressure. A new multi-diagnostic characterization method for measuring detonator pressure and wave shape output in PMMA witness blocks provided temporally resolved, 1-D, shock-position data that was iteratively fit by solutions to the governing equation via a unique genetic algorithm solver. The goal was to calculate a solution that describes the temporal evolution of shock pressure in PMMA starting at the detonator interface. The empirical decay law was investigated using experimental data, where different regimes were considered for the decay coefficients. A successful solution provides extensive performance information that is directly relevant to the understanding and characterization of detonator function.},
doi = {10.1063/1.5045013},
journal = {AIP Conference Proceedings},
number = 1,
volume = 1979,
place = {United States},
year = {Tue Jul 03 00:00:00 EDT 2018},
month = {Tue Jul 03 00:00:00 EDT 2018}
}

Works referenced in this record:

Qualification of a multi-diagnostic detonator-output characterization procedure utilizing PMMA witness blocks
conference, January 2018

  • Biss, Matthew; Murphy, Michael; Lieber, Mark
  • SHOCK COMPRESSION OF CONDENSED MATTER - 2017: Proceedings of the Conference of the American Physical Society Topical Group on Shock Compression of Condensed Matter, AIP Conference Proceedings
  • DOI: 10.1063/1.5045004

Novel measurements of shock pressure decay in PMMA using detonator loading
conference, January 2018

  • Murphy, Michael J.; Lieber, Mark A.; Biss, Matthew M.
  • SHOCK COMPRESSION OF CONDENSED MATTER - 2017: Proceedings of the Conference of the American Physical Society Topical Group on Shock Compression of Condensed Matter, AIP Conference Proceedings
  • DOI: 10.1063/1.5045019

A Clustering Genetic Algorithm for Cylinder Drag Optimization
journal, January 2002

  • Milano, Michele; Koumoutsakos, Petros
  • Journal of Computational Physics, Vol. 175, Issue 1
  • DOI: 10.1006/jcph.2001.6882