As is known [1, 2], the shock adiabat of a solid subjected to inelastic strain and polymorphic transition with decreasing volume under thermodynamically equilibrium shock compression has two characteristic points (P{sub}2, u{sub}2) and (P{sub}3, u{sub}3) (see Fig. 1), at which the multiplicity of shock compression is reduced. At each of these points, referred to as stability thresholds, kinks of shock adiabats occur. In [2], a mathematical substantiation of the effect of kink of shock adiabats at the point of the stability threshold is given in the form of inequalities. As regards explicit quantitative evaluations of the effect, these have not yet been obtained. It is the objective of this study to quantitatively investigate kinks of the shock adiabats of a solid and to demonstrate the significance of the effect using β-Sn white tin and the high-pressure phase of γ-Sn tin at the points of stability thresholds as examples.
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