On the response of re-entrant auxetic structure under dynamic crushing

The present work focuses on the dynamic crushing response of 2D re-entrant auxetic honeycomb. The aim of this work is to propose analytic formulations to predict the crushing strength of the considered structure by including design parameters (specific geometrical ratios and/or material properties). The model for dynamic impact is based on shock waves propagation analogy in a rigid, perfectly plastic, locking (R-P-P-L) material model. The formulations depend on the geometric and the material characteristics of the auxetic but also on the impact velocity. Finite Element simulations of the impact of a plate on an auxetic structure were carried out using the RADIOSS ® explicit solver. The impact velocities varies from 35 m/s to 200 m/s. The numerical simulations presented in this study show good accordance between analytical and Finite Element results.