Abstract

Many investigations have been done on dynamic behavior of solids or hypervelocity behavior of condensed matters. However, general formulas between two collision velocities and material constants et al. before collision and physical quantities of two continuous bodies immediately after collision have not been yet sufficiently established when two continuous bodies collide each other at any collision velocity including two cases above mentioned. In the present paper, it is newly shown that relational formulas among physical quantities produced by plane collision are expressed in terms of two collision velocities, material constants and the slope of the relation between propagation speed of precursor and particle velocity of the compressive stress wave. And, theoretical equations are derived based on the proposed general formulas in a few special cases and considered. Those approximate formulas and applicable conditions are given.

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