Dynamic behavior of graded honeycombs - A finite element study

Abstract This paper aims to investigate the in-plane dynamic mechanical behavior of the functionally graded honeycomb. Finite element simulations were carried out using ABAQUS/EXPLICIT. In each case, a constant velocity was applied to the impact plate which then crushed the honeycomb. The values of the velocity were from 5 to 100 m/s. From the observation of the deformation profiles, three deformation modes have been identified when the strongest layer was placed at the impact end while two deformation modes have been found when the weaker layer was placed at the impact end. The critical velocities, at which the deformation modes transits were determined with a classification map. Dynamic stress and quasi-static plateau stress were obtained from the loading and the supporting plate, respectively. The stress–displacement curves were compared with the analytical prediction based on the shock wave theory. Then, the absorbed energy under constant velocity loading was investigated. To further investigate the influence of the stress gradient on the behavior of the graded honeycomb, different initial velocities versus the impinging mass were imposed on the impact plate. By considering a critical case, in which the velocity reduces to zero when the honeycomb structure is just fully crushed, the densification velocity was obtained. The results confirm that the positive gradient will enhance the energy absorption capacity of honeycombs.

[1]  Tongxi Yu,et al.  Double shock mode in graded cellular rod under impact , 2013 .

[2]  S. D. Papka,et al.  Experiments and full-scale numerical simulations of in-plane crushing of a honeycomb , 1998 .

[3]  William James Stronge,et al.  In-plane dynamic crushing of honeycomb. Part I: crush band initiation and wave trapping , 2002 .

[4]  H. Nayeb-Hashemi,et al.  Dynamic crushing and energy absorption of regular, irregular and functionally graded cellular structures , 2011 .

[5]  Nobutada Ohno,et al.  Elastoplastic microscopic bifurcation and post-bifurcation behavior of periodic cellular solids , 2004 .

[6]  Zhijun Zheng,et al.  Dynamic crushing of 2D cellular structures: A finite element study , 2005 .

[7]  Tongxi Yu,et al.  In-plane dynamic crushing of honeycombs : a finite element study , 2003 .

[8]  M. Ashby,et al.  Cellular solids: Structure & properties , 1988 .

[9]  Enboa Wu,et al.  AXIAL CRUSH OF METALLIC HONEYCOMBS , 1997 .

[10]  T. X. Yu,et al.  Post-collapse characteristics of ductile circular honeycombs under in-plane compression , 2005 .

[11]  L. Gibson,et al.  Behavior of intact and damaged honeycombs: a finite element study , 1999 .

[12]  S. D. Papka,et al.  In-plane compressive response and crushing of honeycomb , 1994 .

[13]  T. X. Yu,et al.  Plastic deformation modes of regular hexagonal honeycombs under in-plane biaxial compression , 2004 .

[14]  John H. Beynon,et al.  Experimental study of the out-of-plane dynamic compression of hexagonal honeycombs , 2012 .

[15]  Tomasz Wierzbicki,et al.  Crushing analysis of metal honeycombs , 1983 .

[16]  Mc Farland,et al.  HEXAGONAL CELL STRUCTURES UNDER POST-BUCKLING AXIAL LOAD , 1963 .

[17]  Tongxi Yu,et al.  The inhomogeneous deformation of polycarbonate circular honeycombs under in-plane compression , 2008 .

[18]  K. Evans,et al.  Models for the elastic deformation of honeycombs , 1996 .

[19]  S. D. Papka,et al.  Biaxial crushing of honeycombs: - Part 1: Experiments , 1999 .

[20]  Stephen R Reid,et al.  Dynamic uniaxial crushing of wood , 1997 .

[21]  Stephen R Reid,et al.  Dynamic crushing of honeycombs and features of shock fronts , 2009 .

[22]  Jandro L. Abot,et al.  A refined model for the effective in-plane elastic moduli of hexagonal honeycombs , 2008 .

[23]  Abir Z. Qamhiyah,et al.  Theoretical and finite element study of a compact energy absorber , 2008, Adv. Eng. Softw..

[24]  W. E. Baker,et al.  Static and dynamic properties of high-density metal honeycombs , 1998 .

[25]  Tongxi Yu,et al.  Dynamic crushing strength of hexagonal honeycombs , 2010 .

[26]  Han Zhao,et al.  Impact behaviour of hollow sphere agglomerates with density gradient , 2010 .

[27]  H. Nayeb-Hashemi,et al.  Mechanical properties of functionally graded 2-D cellular structures: A finite element simulation , 2009 .

[28]  A. Avila Failure mode investigation of sandwich beams with functionally graded core , 2007 .

[29]  Stelios Kyriakides,et al.  In-plane biaxial crushing of honeycombs—: Part II: Analysis , 1999 .

[30]  Han Zhao,et al.  CRUSHING BEHAVIOUR OF ALUMINIUM HONEYCOMBS UNDER IMPACT LOADING , 1998 .

[31]  J. Harrigan,et al.  The correct analysis of shocks in a cellular material , 2010 .