Shear resistance of an auxetic chiral mechanical metamaterial

Abstract The shear resistance of 3D printed periodic auxetic chiral mechanical metamaterial was quantified via a picture-frame apparatus. The experimental set-up allowed the accurate measurement of the effective shear modulus of the material. Also, a rigid-rod-rotational spring model shows that the effective shear modulus of the material is directly related to the chiral geometry and the rotational rigidity of the center joints and the corner joints in the chiral cell. To facilitate practical design, design guidelines were developed through an integrated analytical, numerical and experimental approach. The influences of the chiral geometry and the joint rigidity on the shear resistance of the periodic auxetic chiral mechanical metamaterial were quantified. The design guidelines were verified by systematic finite element (FE) simulations.

[1]  The properties of copper foams with negative Poisson's ratio via resonant ultrasound spectroscopy , 2013 .

[2]  Philippe Boisse,et al.  Intra/inter-ply shear behaviors of continuous fiber reinforced thermoplastic composites in thermoforming processes , 2011 .

[3]  T. Gereke,et al.  Characterisation of the shear–tension coupling of carbon-fibre fabric under controlled membrane tensions for precise simulative predictions of industrial preforming processes , 2014 .

[4]  Kenneth E. Evans,et al.  Modelling negative poisson ratio effects in network-embedded composites , 1992 .

[5]  Martin Wegener,et al.  Tailored 3D Mechanical Metamaterials Made by Dip‐in Direct‐Laser‐Writing Optical Lithography , 2012, Advanced materials.

[6]  F. Scarpa,et al.  Shear Stiffness and Energy Absorption of Auxetic Open Cell Foams as Sandwich Cores , 2018, physica status solidi (b).

[7]  Kenneth E. Evans,et al.  How to make auxetic fibre reinforced composites , 2005 .

[8]  M. Ruzzene,et al.  Graded conventional-auxetic Kirigami sandwich structures: Flatwise compression and edgewise loading , 2014 .

[9]  Fabrizio Scarpa,et al.  On the transverse shear modulus of negative Poisson’s ratio honeycomb structures , 2000 .

[10]  Stepan Vladimirovitch Lomov,et al.  A co-operative benchmark effort on testing of woven composites , 2004 .

[11]  Zhenyu Yang,et al.  Elastic properties of two novel auxetic 3D cellular structures , 2017 .

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

[13]  Massimo Ruzzene,et al.  Wave Propagation in Auxetic Tetrachiral Honeycombs , 2010 .

[14]  R. Ogden Non-Linear Elastic Deformations , 1984 .

[15]  P. Steinmann,et al.  Design and validation of a new fixture for the shear testing of cellular solids , 2014 .

[16]  J. Parise,et al.  Elasticity of α-Cristobalite: A Silicon Dioxide with a Negative Poisson's Ratio , 1992, Science.

[17]  K. Bertoldi,et al.  Negative Poisson's Ratio Behavior Induced by an Elastic Instability , 2010, Advanced materials.

[18]  James A. Sherwood,et al.  Characterization of mechanical behavior of woven fabrics: Experimental methods and benchmark results , 2008 .

[19]  Yaning Li,et al.  3D Printed Auxetic Mechanical Metamaterial with Chiral Cells and Re-entrant Cores , 2018, Scientific Reports.

[20]  J. B. Park,et al.  Negative Poisson's ratio polymeric and metallic foams , 1988 .

[21]  Joseph N. Grima,et al.  A novel mechanism for generating auxetic behaviour in reticulated foams: missing rib foam model , 2000 .

[22]  K. Evans,et al.  Auxetic Materials : Functional Materials and Structures from Lateral Thinking! , 2000 .

[23]  Yaning Li,et al.  Micropolar Modeling of Auxetic Chiral Lattices With Tunable Internal Rotation , 2019, Journal of Applied Mechanics.

[24]  F. Scarpa,et al.  The transverse elastic properties of chiral honeycombs , 2010 .

[25]  Yanyu Chen,et al.  Exploiting negative Poisson's ratio to design 3D-printed composites with enhanced mechanical properties , 2018 .

[26]  Constantina Lekakou,et al.  Shear deformation and micromechanics of woven fabrics , 2000 .

[27]  José Meireles,et al.  Auxetic materials — A review , 2013 .

[28]  R. Lakes Foam Structures with a Negative Poisson's Ratio , 1987, Science.

[29]  Jongmin Shim,et al.  3D Soft Metamaterials with Negative Poisson's Ratio , 2013, Advanced materials.

[30]  Paulo B. Lourenço,et al.  Development, characterization and analysis of auxetic structures from braided composites and study the influence of material and structural parameters , 2016 .

[31]  Yaning Li,et al.  3D Printed Chiral Cellular Solids with Amplified Auxetic Effects Due to Elevated Internal Rotation   , 2017 .

[32]  J. Ganghoffer,et al.  Equivalent mechanical properties of auxetic lattices from discrete homogenization , 2012 .

[33]  Matej Vesenjak,et al.  Auxetic Cellular Materials - a Review , 2016 .

[34]  Two-dimensional macro-mechanics shear models of woven fabrics , 2005 .

[35]  Massimo Ruzzene,et al.  Identification of acoustic properties of auxetic foams , 2003, SPIE Smart Structures and Materials + Nondestructive Evaluation and Health Monitoring.

[36]  N. Pan,et al.  Study on intra/inter-ply shear deformation of three dimensional woven preforms for composite materials , 2013 .

[37]  Yaning Li,et al.  Novel 3D‐Printed Hybrid Auxetic Mechanical Metamaterial with Chirality‐Induced Sequential Cell Opening Mechanisms , 2018 .

[38]  A. de Boer,et al.  Design of fiber metal laminate shear panels for ultra-high capacity aircraft , 2001 .

[39]  Anthony M. Waas,et al.  Compressive Response and Failure of Circular Cell Polycarbonate Honeycombs Under Inplane Uniaxial Stresses , 1999 .

[40]  E. Bryan Photoelastic Evaluation of the Panel Shear Test for Plywood , 1961 .