Computational Approach in Formulating Mechanical Characteristics of 3D Star Honeycomb Auxetic Structure

Auxetic materials exhibit a unique characteristic due to the altered microstructure. Different structures have been used to model these materials. This paper treats a development of finite element model and theoretical formulation of 3D star honeycomb structure of these materials. Various shape parameters of the structural cell were evaluated with respect to the basic mechanical properties of the cell. Finite element and analytical approach for various geometrical parameters were numerically used to formulate the characteristics of the material. The study aims at quantifying mechanical properties for any domain in which auxetic material is of interest for variations in geometrical parameters. It is evident that mechanical properties of the material could be controlled by changing the base wall angle of the configuration. The primary outcome of the study is a design guideline for the use of 3D star honeycomb auxetic cellular structure in structural applications.

[1]  Ruben Gatt,et al.  Negative Poisson's ratios in cellular foam materials , 2006 .

[2]  Konstantin V. Tretiakov,et al.  Poisson's ratio of simple planar ‘isotropic’ solids in two dimensions , 2007 .

[3]  Jinhee Lee,et al.  Application of homogenization FEM analysis to regular and re-entrant honeycomb structures , 1996, Journal of Materials Science.

[4]  K. Wojciechowski,et al.  Remarks on Poisson ratio beyond the limits of the elasticity theory , 2003 .

[5]  Y. Ishibashi,et al.  A Microscopic Model of a Negative Poisson's Ratio in Some Crystals , 2000 .

[6]  Fabrizio Scarpa,et al.  Evaluation of hexagonal chiral structure for morphing airfoil concept , 2005 .

[7]  Hong Hu,et al.  A review on auxetic structures and polymeric materials , 2010 .

[8]  B. D. Caddock,et al.  Microporous materials with negative Poisson's ratios. I. Microstructure and mechanical properties , 1989 .

[9]  K. Wojciechowski,et al.  Constant thermodynamic tension Monte Carlo studies of elastic properties of a two-dimensional system of hard cyclic hexamers , 1987 .

[10]  Joseph N. Grima,et al.  Novel honeycombs with auxetic behaviour , 2005 .

[11]  Kenneth E. Evans,et al.  The interpretation of the strain-dependent Poisson's ratio in auxetic polyethylene , 1997 .

[12]  Y. Li.  The anisotropic behavior of Poisson's ratio, Young's modulus, and shear modulus in hexagonal materials , 1976 .

[13]  S. Moratti,et al.  Dynamic simulations of potentially auxetic liquid-crystalline polymers incorporating swivelling mesogens , 2005 .

[14]  R. Lakes,et al.  Properties of a chiral honeycomb with a poisson's ratio of — 1 , 1997 .

[15]  Ruben Gatt,et al.  On the Auxetic Properties of 'Rotating Rectangles' with Different Connectivity , 2005 .

[16]  Y. Ishibashi,et al.  Elastic properties of a two-dimensional model of crystals containing particles with rotational degrees of freedom , 2002 .

[17]  F. Froes,et al.  Chapter 4 – Microstructure and Mechanical Properties , 2016 .

[18]  Teik-Cheng Lim,et al.  Constitutive relationship of a material with unconventional Poisson's ratio , 2003 .

[19]  K. Wojciechowski.  Non-chiral, molecular model of negative Poisson ratio in two dimensions , 2003 .

[20]  Ruben Gatt,et al.  On the properties of auxetic meta‐tetrachiral structures , 2008 .

[21]  M. Ashby,et al.  The mechanics of three-dimensional cellular materials , 1982, Proceedings of the Royal Society of London. A. Mathematical and Physical Sciences.

[22]  Peter Hine,et al.  Negative Poisson's ratios in angle-ply laminates , 1997 .

[23]  Anselm C. Griffin,et al.  Toward molecular auxetics: Main chain liquid crystalline polymers consisting of laterally attached para‐quaterphenyls , 2005 .

[24]  Zdenka Barticevic,et al.  Far‐infrared optical spectrum of donor impurities in quantum dots in a magnetic field , 2003 .

[25]  G. Milton.  Composite materials with poisson's ratios close to — 1 , 1992 .

[26]  Georgios E. Stavroulakis,et al.  Negative Poisson's ratios in composites with star-shaped inclusions: a numerical homogenization approach , 1997 .

[27]  G. Stavroulakis,et al.  The homogenization method for the study of variation of Poisson's ratio in fiber composites , 1998 .

[28]  Massimo Ruzzene,et al.  Global and local linear buckling behavior of a chiral cellular structure , 2005 .

[29]  M. Ashby,et al.  The mechanics of two-dimensional cellular materials , 1982, Proceedings of the Royal Society of London. A. Mathematical and Physical Sciences.

[30]  Ruben Gatt,et al.  On the potential of connected stars as auxetic systems , 2005 .