Prediction of Elastic-Plastic Wave Profiles in Aluminum 1060-0 Under Uniaxial Strain Loading

Abstract

In an ideally elastic-perfectly plastic material, in which the elastic moduli are constant, a high intensity wave propagating from the impact interface of two flat plates has a two-wave structure as shown in Fig. 1. The elastic wave propagates at velocity

$$\sqrt {{{{\rm{\lambda + 2\mu }}} \over {\rm{\rho }}}} $$

(1)

with intensity

$${{{\rm{\lambda + 2\mu }}} \over {{\rm{2\mu }}}}Y$$

(2)

where Y is the yield stress of the material in a uniaxial stress test, λ and μ are Lame’s constants, and p is the material density. This is followed by the higher intensity plastic wave travelling at a slower velocity

$$\sqrt {{{{\rm{\lambda + }}\left( {{2 \over 3}} \right){\rm{\mu }}} \over {\rm{\rho }}}} $$

(3)