Abstract
We present a model and a simple-to-implement numerical procedure that obtains the normal detonation shock velocity (Dn)–curvature (κ) relationships for an explosive material with nonideal equation of state and an arbitrary reaction rate law. In addition we illustrate numerically (for a nonideal equation of state) and analytically (for an ideal equation of state with a large activation energy rate law) that for sufficient rate-state–sensitive explosives, the corresponding Dn, κ-response curve can have two turning points, at Dn, κ,-pairs [(Dn)1, κ1], [(Dn)2, κ2], such that κ1 > κ2 > 0 for DCJ ≥ (Dn)1 ≥ (Dn)2, and such that the curve has a Z-shape. The top branch of the Z response curve has been previously associated with detonation extinction at a critical curvature. The bottom branch can be possibly associated with low-velocity detonation and rapid change from low-order detonation to high-order.
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