Review of mathematical models for estimating the parameters of the shock wave explosion charges of explosives

Authors
DOI:
https://doi.org/10.34169/2414-0651.2021.1(29).77-84
Keywords:
Array, Array, Array, Array
Abstract

The article reviews mathematical models of different authors to estimate the parameters of the shock wave of the explosion of explosive charges. Using them, the relationships between the scale factor and the main parameters of the shock wave, such as: front speed, time of arrival at the object, the value of maximum pressure at the front, the value of negative phase pressure, positive and negative phases, positive and negative phase momentum are derived. The calculation of these parameters takes into account the mass of the explosive, the distance from the center of charge to a point in space, the speed of sound in the air and atmospheric
pressure.
Comparison of the obtained dependences with experimental data for measuring the parameters of detonation of explosive charges weighing up to 100 g shows that for certain mathematical models the calculated values of pressure and time of action of the positive phase of the explosion can differ significantly from the obtained experimental data.
The obtained results allow to specify the limits within which mathematical models of different authors can be applied. In the future, the results of the article will serve as a convenient tool for researchers in choosing mathematical models depending on the physics of the explosive process under study, boundary conditions, speed ranges and other critical parameters that are an integral part of the nature of explosive load.
The value of the review of mathematical models for estimating the parameters of the shock wave of the explosion is that such transient and highly nonlinear explosive processes are relatively understudied and the results of this article confirm this. In addition, verification of such models experimentally is a high-cost and relatively rare phenomenon, as it requires the use of special measuring equipment, and in the case of impact, reflection and shock wave explosion of the protective structure, such tests are one-time due to their inability to reproduce.

Author Biographies
  1. Serhii Bisyk, Central Scientific Research Institute of Armament and Military Equipment of the Armed Forces of Ukraine

    Candidate of Technical Sciences
    Senior Research Associate
    doctoral student of the scientifi c and organizational department of
    Central Research Institute of Armament and Military Equipment
    of the Armed Forces of Ukraine, Kyiv, Ukraine

  2. Leonid Davidovskyi, Central Scientific Research Institute of Armament and Military Equipment of the Armed Forces of Ukraine

    Candidate of Technical Sciences
    Senior Research Associate
    doctoral student of the scientifi c and organizational department of
    Central Research Institute of Armament and Military Equipment
    of the Armed Forces of Ukraine, Kyiv, Ukraine

  3. Maksym Telepa, Central Scientific Research Institute of Armament and Military Equipment of the Armed Forces of Ukraine

    master, Senior Researcher of the Research Department of the Central Research Institute of Armament and Military Equipment of the Armed Forces of Ukraine,
    Kyiv, Ukraine

  4. Oleksandr Nagorsky, Main Department of Organization of Ammunition Production and Construction of Special Purpose Buildings

    master, Head of the Main Department of Organization of Ammunition Production and Construction of Special Purpose Buildings,
    Kyiv, Ukraine

  5. Svitlana Bisyk, Central Scientific Research Institute of Armament and Military Equipment of the Armed Forces of Ukraine

    master, Kyiv, Ukraine

  6. Andrii Novosad, National Technical University of Ukraine “Igor Sikorsky Kyiv Polytechnic Institute”

    Senior Lecturer of the Radio Equipment Designing and Production Department, Radio Engineering Faculty, National Technical University of Ukraine “Igor Sikorsky Kyiv Polytechnic Institute”,
    Kyiv, Ukraine

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Published
2022-02-10
Issue
Vol. 29 No. 1 (2021): Weapons and military equipment
Section
TESTING, TEST SITES
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How to Cite

Review of mathematical models for estimating the parameters of the shock wave explosion charges of explosives. (2022). Weapons and Military Equipment, 29(1), 77-84. https://doi.org/10.34169/2414-0651.2021.1(29).77-84

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