An Analysis of a 1-Dimensional Plane Collision of Continuous Bodies (2nd Report, Comparison of a Theory with Experiments)

Abstract

A general formula in a 1-dimensional plane collision was established in an another report in which any physical quantities in both bodies immediately after collision are expressed in terms of collision velocities, material constants and coefficients before collision when both bodies collide with any collision velocities. In the present paper, the equations in the calculation to obtain any physical quantity are derived from the proposed general formula when two bodies are of the same material and the same cross-sectional area and both bodies collide each other and then shock wave is produced in the target at rest. And calculated values based on the derived theory are compared with experiments of the relation between shock pressure and relative volume. Consequently, both theory and experiment agree precisely, the proposed general formula in a 1-dimensional plane collision is proved to be valid also in the case of hypervelocity collision.