p-$\alpha $ and p-$\lambda $ Model for Describing Shock Compressive Behavior of W-Cu Powder Mixture

This study investigated the applicability of three p-$\alpha $ models and p-$\lambda $ model for predicting shock compaction response of heterogeneous W-Cu powder mixture. Mie-Grüneisen method and Barry isobaric mixing method were employed to predict the Hugoniot of W-Cu powder mixture with the same porosity based on the Hugoniot relationships. At high pressure section, the results were in good agreement with the experimental results, but it deviated greatly at the low pressure section. The p-$\alpha $ models and p-$\lambda $ model were applied to fit the experimental results, and it was found that all the other models were able to describe the shock compression response of W-Cu powder mixture except p-$\alpha $ PL model. The crush strength and compression path of all models are different due to selection of empirical parameters, and they are with poor prediction function.