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JOURNALS // Vestnik Yuzhno-Ural'skogo Gosudarstvennogo Universiteta. Seriya "Matematika. Mekhanika. Fizika" // Archive

Vestn. Yuzhno-Ural. Gos. Un-ta. Ser. Matem. Mekh. Fiz., 2015 Volume 7, Issue 4, Pages 54–60 (Mi vyurm277)

Mechanics

Simulation of shock compression and thermal expansion of complex compounds

V. F. Kuropatenko, S. Yu. Filatov

Russian Federal Nuclear Center – Zababakhin All-Russia Research Institute of Technical Physics, Snezhinsk, Russian Federation

Abstract: A new method of the formulation of state equations in the area of not very big pressures is offered. Basic parameters of the state equation are selected for complex chemical compounds using the original version of the Simplex-method.
The method uses linear dependences of the shock wave velocity against the substance velocity and thermal expansion data under constant pressure. For the target function a sum of quadratic differences between calculated and experimental values has been selected. Satisfactory coincidence of theoretical and experimental values is obtained.

Keywords: state equation; Simplex-method; thermal expansion; shock compression.

UDC: 536.71

Received: 11.08.2015

DOI: 10.14529/mmph150407



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