Abstract
Dynamic behaviors of the three-dimensional re-entrant auxetic cellular structure have been investigated by performing beam-based crushing simulation. Detailed deformation process subjected to various crushing velocities has been described, where three specific crushing modes have been identified with respect to the crushing velocity and the relative density. The crushing strength of the 3D re-entrant auxetic structure reveals to increase with increasing crushing velocity and relative density. Moreover, an analytical formula of dynamic plateau stress has been deduced, which has been validated to present theoretical predictions agreeing well with simulation results. By establishing an analytical model, the role of relative density on the energy absorption capacity of the 3D re-entrant auxetic structure has been further studied. The results indicate that the specific plastic energy dissipation is increased by increasing the relative density, while the normalized plastic energy dissipation has an opposite sensitivity to the relative density when the crushing velocity exceeds the critical transition velocity. The study in this work can provide insights into the dynamic property of the 3D re-entrant auxetic structure and provides an extensive reference for the crushing resistance design of the auxetic structure.
Highlights
Auxetic cellular structures have attracted great attention since, unlike conventional honeycomb, they expand laterally when stretched and contract laterally when compressed, featuring a negativePoisson’s ratio (NPR)
No obvious collapse and contraction are observed near the distal end
Since the rate-independent and final stress densification periods. Another characteristic is at that stress-strain curves are observed with elastic-perfectly plastic model has been adopted and the effect of strain-rate is ignored in thislayer study, high oscillations
Summary
Auxetic cellular structures have attracted great attention since, unlike conventional honeycomb, they expand laterally when stretched and contract laterally when compressed, featuring a negative. The enhancement of the dynamic responses and blast resistance of the sandwich structures with auxetic re-entrant cell honeycomb cores under blast loading has been concluded in these studies [14]. A similar conclusion was reported by Xiuhui Hou et al [16], who attributed the superior impact resistance of auxetic honeycombs to the auxetic effect induced in the re-entrant topology It can be concluded from the reviews that most recent research has focused on the two-dimensional honeycombs. As a typical NPR configuration, this design was originally proposed by Evans [17] and has been numerically and empirically studied by other researchers [18,19,20,21] Though these studies are limited in analytically modeling and elastic analysis, some conclusions can be seriously referred when extending the research towards dynamic crushing domain.
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