Abstract
Within the framework of the model of explosion phenomena proposed by M. A. Lavrent'ev, the plane problem of determining the shape of the excavation during the explosion of a constant-thickness surface charge is solved (when the pulse pressure is constant over the width of the charge). The problem of determining the shape of the excavation during the explosion of a surface charge whose section thickness varies linearly is considered below for the same model of explosion phenomena called “solid-liquid” [2]. (The problem reduces to a homogeneous linear Hilbert boundary-value problem with discontinuous coefficients. The solution is obtained in closed form, and recommendations are given for its practical realization.)
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Translated from Zhurnal Prikladnoi Mekhaniki i Tekhnicheskoi Fiziki, No. 3, pp. 154–161, May–June, 1976.
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Il'inskii, N.B., Labutkin, A.G. & Salimov, R.B. One case of the explosion of a symmetric variable-thickness surface charge. J Appl Mech Tech Phys 17, 422–427 (1976). https://doi.org/10.1007/BF00853581
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DOI: https://doi.org/10.1007/BF00853581