Abstract
A two-cap constitutive model that incorporates inelastic yielding, frictional sliding, and densification was modified for shock-loading applications, and used to model shock-wave propagation of a powdered ceramic that is constrained by aluminum layers in a system, which is impacted by a flyer plate. The numerical results included analyses of the effects of shock stress amplitudes on densification, unloading behaviors, stress attenuation and dispersion, and stress and pressure distributions. An understanding of how interfacial impedances affect shock-front attenuation, dispersion, and propagation were obtained through modeling different shock-load conditions. The constitutive and computational models were validated with detailed simulations of shock-front experiments pertaining to powdered ceramics. It is shown how shock amplitude duration and rise time are related to stress evolution, and how physically limiting values result in inelastic damage. This analysis underscores how modeling with the appropriate constitutive description can provide insights on how powdered ceramics behave under impact-loading conditions.
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