Abstract
Abstract : For a transverse acceleration wave propagating along a principal axis of strain in a nonlinear isotropic elastic solid, a simple formula due to Ericksen relates the wave speed to the stress and strain state at the wave front. We derive the appropriate generalization of this result for finite deformation viscoplasticity models based on the multiplicative decomposition of the deformation gradient into elastic and plastic parts. The inclusion of scalar internal state variables (e.g., to model damage) is also considered. The results may be used to obtain information on the stress state ahead of the wave if the strain state and wave speed are known. We discuss applications to the analysis of oblique plate impact tests, where the transverse wave propagates into uniaxially strained material.
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