Geodesic
Simulation of shock compression and thermal expansion of complex compounds
Vestnik Ûžno-Uralʹskogo gosudarstvennogo universiteta. Seriâ, Matematika, mehanika, fizika, Tome 7 (2015) no. 4, pp. 54-60

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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. 
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     title = {Simulation of shock compression and thermal expansion of complex compounds},
     journal = {Vestnik \^U\v{z}no-Uralʹskogo gosudarstvennogo universiteta. Seri\^a, Matematika, mehanika, fizika},
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     publisher = {mathdoc},
     volume = {7},
     number = {4},
     year = {2015},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/VYURM_2015_7_4_a6/}
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V. F. Kuropatenko; S. Yu. Filatov. Simulation of shock compression and thermal expansion of complex compounds. Vestnik Ûžno-Uralʹskogo gosudarstvennogo universiteta. Seriâ, Matematika, mehanika, fizika, Tome 7 (2015) no. 4, pp. 54-60. http://geodesic.mathdoc.fr/item/VYURM_2015_7_4_a6/