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Title: A study of explosive-induced fracture in polymethyl methacrylate (PMMA)

Abstract

The fracture response of geologic materials is of interest for applications, including geothermal energy harnessing and containment of underground explosions. To better understand the explosively induced fracture response of geomaterials, polymethyl methacrylate (PMMA) was used as a transparent rock surrogate to allow imaging of internal shock propagation and fracture growth processes. Experiments were conducted using high-speed shadowgraphy and photon Doppler velocimetry (PDV), which were compared to numerical simulations. Experiments measured fractures produced in 304.8mm × 304.8mm × 304.8mm PMMA cubes with two simultaneously initiated detonators. The cubes were subjected to varying amounts and directions of externally applied uniaxial stresses, including no stress, 2 MPa stress, and 20 MPa stress. The fracture radius as a function of time was extracted from the high-speed videos. Post-test images of the PMMA cubes aided in the determination of three-dimensional effects not directly imaged by the cameras. The surface velocity history and the shock response captured in PDV and the high-speed videos were compared to the simulated explosive-induced shock response. The simulation results indicate that the shock drives the fracture for the first 20 μs corresponding to a fracture radius of approximately 15 mm in the experiments. The gas-driven fracture extent was estimated analytically usingmore » an equilibrium stress distribution calculated after the shock wave propagation through the sample. Reduction in the gas pressure due to the leakage of the explosive products through the crack as a function of time was accounted for. In conclusion, the estimated fracture lengths were in agreement with the experimentally observed fracture lengths.« less

Authors:
ORCiD logo [1]; ORCiD logo [2];  [3]; ORCiD logo [4]
  1. Lawrence Livermore National Laboratory (LLNL), Livermore, CA (United States); New Mexico Tech, Socorro, NM (United States)
  2. Lawrence Livermore National Laboratory (LLNL), Livermore, CA (United States)
  3. Sandia National Laboratory (SNL-NM), Albuquerque, NM (United States)
  4. New Mexico Tech, Socorro, NM (United States)
Publication Date:
Research Org.:
Lawrence Livermore National Laboratory (LLNL), Livermore, CA (United States)
Sponsoring Org.:
USDOE National Nuclear Security Administration (NNSA); US Air Force Office of Scientific Research (AFOSR)
OSTI Identifier:
2007256
Report Number(s):
LLNL-JRNL-852380
Journal ID: ISSN 0021-8979; 1074462
Grant/Contract Number:  
AC52-07NA27344; NA0003988; FA9550-19-1-0379; NA-0003525
Resource Type:
Accepted Manuscript
Journal Name:
Journal of Applied Physics
Additional Journal Information:
Journal Volume: 134; Journal Issue: 7; Journal ID: ISSN 0021-8979
Publisher:
American Institute of Physics (AIP)
Country of Publication:
United States
Language:
English
Subject:
15 GEOTHERMAL ENERGY; Shock waves; Geothermal energy; Optical imaging; Explosives; Polymers; Numerical methods; Heterodyne laser interferometry; Minerals

Citation Formats

Torres, S. M., Vorobiev, O. Y., Robey, R. E., and Hargather, M. J. A study of explosive-induced fracture in polymethyl methacrylate (PMMA). United States: N. p., 2023. Web. doi:10.1063/5.0160147.
Torres, S. M., Vorobiev, O. Y., Robey, R. E., & Hargather, M. J. A study of explosive-induced fracture in polymethyl methacrylate (PMMA). United States. https://doi.org/10.1063/5.0160147
Torres, S. M., Vorobiev, O. Y., Robey, R. E., and Hargather, M. J. Wed . "A study of explosive-induced fracture in polymethyl methacrylate (PMMA)". United States. https://doi.org/10.1063/5.0160147.
@article{osti_2007256,
title = {A study of explosive-induced fracture in polymethyl methacrylate (PMMA)},
author = {Torres, S. M. and Vorobiev, O. Y. and Robey, R. E. and Hargather, M. J.},
abstractNote = {The fracture response of geologic materials is of interest for applications, including geothermal energy harnessing and containment of underground explosions. To better understand the explosively induced fracture response of geomaterials, polymethyl methacrylate (PMMA) was used as a transparent rock surrogate to allow imaging of internal shock propagation and fracture growth processes. Experiments were conducted using high-speed shadowgraphy and photon Doppler velocimetry (PDV), which were compared to numerical simulations. Experiments measured fractures produced in 304.8mm × 304.8mm × 304.8mm PMMA cubes with two simultaneously initiated detonators. The cubes were subjected to varying amounts and directions of externally applied uniaxial stresses, including no stress, 2 MPa stress, and 20 MPa stress. The fracture radius as a function of time was extracted from the high-speed videos. Post-test images of the PMMA cubes aided in the determination of three-dimensional effects not directly imaged by the cameras. The surface velocity history and the shock response captured in PDV and the high-speed videos were compared to the simulated explosive-induced shock response. The simulation results indicate that the shock drives the fracture for the first 20 μs corresponding to a fracture radius of approximately 15 mm in the experiments. The gas-driven fracture extent was estimated analytically using an equilibrium stress distribution calculated after the shock wave propagation through the sample. Reduction in the gas pressure due to the leakage of the explosive products through the crack as a function of time was accounted for. In conclusion, the estimated fracture lengths were in agreement with the experimentally observed fracture lengths.},
doi = {10.1063/5.0160147},
journal = {Journal of Applied Physics},
number = 7,
volume = 134,
place = {United States},
year = {Wed Aug 16 00:00:00 EDT 2023},
month = {Wed Aug 16 00:00:00 EDT 2023}
}

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