MATHEMATICAL MODEL CONSTRUCTION FOR WAVE SPREADING RESEARCH IN RESILIENT VISCOUS-PLASTIC QUARTER-SPHERE WITH CAVITY
N. D. Duishenaliev1, Z. T. Kozhabekov2, G. K. Tugelbayeva3
1National Research University "Moscow Power Engineering Institute", Moscow, Russia
2Djoldasbekov Institute of Mechanics and engineering, Science Committee of the Ministry of Education and Science, Almaty, Republic of Kazakhstan
3Military Institute of Ground Forces, Ministry of Defense, Almaty, Republic of Kazakhstan
Keywords: Tensed and deformed condition, resilient viscous-plastic, quarter space, cavity, dynamic pressure, wave
Abstract
The given research paper reviews tensed and deformed condition around the cavity, disposed on definite depth in resilient viscous-plastic quarter space under the dynamic pressure by the daylight surface. To solve the problem, it is necessary to construct mechanic-mathematical model using system in differential equations in private derivative first-order of hyperbolic type, which can be solved by the usage the numerical method of S. K. Godunov, named “gap disintegration”. The received numeric solving of the above mentioned task can be used in projecting and constructing the minefields, underground constructions and other objects.
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