Abstract

An estimation method of the dynamic constitutive equations using the observed strain data by means of the method of nonlinear least squares is described. By using this method some experiments were performed such that the constitutive equation for aluminum involving two unknown parameters was estimated using the strain wave and the residual strain profile induced in a finite-length bar subjected to longitudinal impact. The stress-strain rate curves obtained by using the estimated constitutive equations were compared with the ordinary experimental values. As a result, it was concluded that the present method is practically useful. It was also found that the estimation was enabled by either the experimental values of the strain wave or the experimental values of residual strain.

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