A One-Dimensional, Two-Phase Flow Model for Taylor Impact Specimens

hf distance from the urndeformed anvil face to the phase I portion of the plastic wave front at In this paper, a simple theoretical analysis of an the conclusion of the event old problem is presented. The analysis Is more I undeformed section length complete than earlier versions, but retains the *athematical simplicity of the earlier versions. The 7 undeformed section length at the end of Phase I major thrust is to separate the material response into I final undeformedspecimen length two phases. The first phase is dominated by strain f rate effects and has a variable plastic wave speed. L original specimen length The second phase is dominated by strain hardening effects and has a constant plastic wave speed. L final specimen length Estimates for dynamic yield Stress, strain, strain-rate, and plastic wave speed during both phases s displacement of the rear end of the specimen are given. Comparisons with several experiments on OFHC copper are included. s displacement of the rear end of the specimen at the end of Phase I NOTATIO 5 f final displacement of the rear end of the specimen A0 cross-sectional area of the undeformed specimen t time i time at the end of Phase I A cross-sectional ares of the deformed specimen t torminaf time D diameter of the undeformed specimen f u speed of the plastic materTsl at the plastic wave D diameter of the mushroom at the conclusion of front phase I deformation v undeformed section speed D diameter of the interface between Phases I and II SV impact speed D diameter of the interface between Phases I and II after conclusion of the event V volume of the material In the Phase I deformation D diameter of the mushroom at the conclusion of zone event y2 average flow strength durinL secondary deformation C engineering strain eg secondary plastic wave spoto..e Sengineering strain at the end of Phase I o engineering stress h distance from the undeformed anvil face to the P mass density of specimen plastic wave front differentiation with respect to time Sdistance from the undeformed anvil face to the plastic wave front at the end of Phase I