DOI: https://doi.org/10.15587/2312-8372.2019.173640

### Development of mathematical model of localization of a small explosive object with the help of a specialized protective device

Yevgen Stetsiuk

#### Abstract

In the work, as a research object, a protective device of a domed form is used which is used by pyrotechnic units to localize an emergency situation in the event of an explosion inside a small hazardous object. It is noted that one of the most problematic places of its application is the development of recommendations, implementation of which should ensure the prevention of the development of an emergency event up to a level of emergency on such priority effects as the number of victims and the number of victims. It is shown that the definition of such recommendations, providing localization of the consequences of an emergency in the case of an explosion of a small explosive object inside a specialized protective device, requires the obtaining of a mathematical model of localization of the focal point of an emergency. This model should provide an assessment of the strength of the technical means of localization of fragments and become the basis for the correction of existing operational procedures in the case of its application by pyrotechnic units. In the course of the study, the Eulerian-Lagrangian approach is used, which would allow obtaining a mathematical model of localization with the help of a dome-shaped form of the consequences of emergency situations in the event of an explosion inside a small-sized dangerous object. In practice, a mathematical model is implemented in a finite element packet using the library of the ANSYS/AUTODYN computer system. This allows not to create an actual new package of applications every time, as was done before to describe similar models. Due to this, an assessment of the strength of the technical means of localization of fragments is provided. In comparison with similar well-known models, the developed mathematical model allows to estimate the size of the minimum thickness of the protective device. It allows to withstand the explosion of a small-sized explosive object and to determine the minimum mass of the protective equipment taking into account the operational capabilities of the combat calculation of the pyrotechnic unit.

#### Keywords

protective device; mathematical model of explosion localization; strength of technical means; ANSYS package

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#### References

Pro skhvalennia Stratehii reformuvannia systemy DSNS Ukrainy (2017). Rozporiadzhennia Kabinetu Ministriv Ukrainy No. 61. 25.01.2017. Baza danykh «Zakonodavstvo Ukrainy». VR Ukrainy. Available at: https://zakon.rada.gov.ua/laws/show/61-2017-%D1%80

Xiao, T., Horberry, T., Cliff, D. (2015). Analysing mine emergency management needs: a cognitive work analysis approach. International Journal of Emergency Management, 11 (3), 191–208. doi: http://doi.org/10.1504/ijem.2015.071705

Toan, D. Q. (2015). Train-the-Trainer Trauma Care Programin Vietnam. Journal of Conventional Weapons Destruction, 19 (1). Available at: http://commons.lib.jmu.edu/cisr-journal/vol19/iss1/9

Smith, A. (2017). An APT Demining Machine. Journal of Conventional Weapons Destruction, 21 (2). Available at: http://commons.lib.jmu.edu/cisr-journal/vol21/iss2/15

Hadjadj, A., Sadot, O. (2013). Shock and blast waves mitigation. Shock Waves, 23 (1), 1–4. doi: http://doi.org/10.1007/s00193-012-0429-0

Tyas, A., Rigby, S. E., Clarke, S. D. (2016). Preface to special edition on blast load characterisation. International Journal of Protective Structures, 7 (3), 303–304. doi: http://doi.org/10.1177/2041419616666340

Blakeman, S. T., Gibbs, A. R., Jeyasingham, J. (2008). A study of mine resistant ambush protected (MRAP) vehicle as a model for rapid defence acquisitions. MBA Professional Report Monterey Naval School. Available at: http://www.dtic.mil/dtic/tr/fulltext/u2/a493891.pdf

Sherkar, P., Whittaker, A. S., Aref, A. J. (2010). Modeling the effects of detonations of high explosives to inform blast-resistant design. Technical Report MCEER-10–0009. Available at: https://ubir.buffalo.edu/xmlui/bitstream/handle/10477/25356/10-0009.pdf?sequence=3

Armor Thane Reduces the Impact from Bombs and Bullets. Available at: https://www.armorthane.com/protective-coating-applications/blast-mitigation-protection.htm

Togashi, F., Baum, J. D., Mestreau, E., Löhner, R., Sunshine, D. (2010). Numerical simulation of long-duration blast wave evolution in confined facilities. Shock Waves, 20 (5), 409–424. doi: http://doi.org/10.1007/s00193-010-0278-7

Snyman, I. M., Mostert, F. J., Olivier, M. (2013). Measuring pressure in a confined space. 27th international symposium on ballistics, 1, 829–837.

Woodley, C., Feng, C., Li, B. (2018). Defence Technology. 1st International Conference on Defence Technology. Beijing, 14 (5), 357–642. doi: http://doi.org/10.1016/s2214-9147(18)30442-2

Van den Berg, A. C. (2009). “BLAST”: A compilation of codes for the numerical simulation of the gas dynamics of explosions. Journal of Loss Prevention in the Process Industries, 22 (3), 271–278. doi: http://doi.org/10.1016/j.jlp.2008.07.004

Cullis, I. G., Nikiforakis, N., Frankl, P., Blakely, P., Bennett, P., Greenwood, P. (2016). Simulating geometrically complex blast scenarios. Defence Technology, 12 (2), 134–146. doi: http://doi.org/10.1016/j.dt.2016.01.005

Chaudhuri, A., Hadjadj, A., Sadot, O., Ben-Dor, G. (2012). Numerical study of shock-wave mitigation through matrices of solid obstacles. Shock Waves, 23 (1), 91–101. doi: http://doi.org/10.1007/s00193-012-0362-2

Remennikov, A. M., Mendis, P. A. (2006). Prediction of airblast in complex environments using artificial neural networks. WIT transactions on the build environment, structures under shock and impact IX, 269. doi: http://doi.org/10.2495/su060271

Programmnyi paket ANSYS. Available at: https://sites.google.com/site/komputernoemodelirovanie/home/stati/programmnyj-paket-ansys

Andreev, S. G., Babkin, Iu. A., Baum, F. A. et. al.; Orlenko, L. P. (Ed.) (2002). Fizika vzryva. Vol. 1. Moscow: FIZMATLIT, 832.