The work describes the manufacturing, mechanical properties, and wave propagation characteristics of a pyramidal lattice made exhibiting an auxetic (negative Poisson's ratio) behavior. Contrary to similar lattice tessellations produced using metal cores, the pyramidal lattice described in this work is manufactured using a kirigami (origami plus cutting pattern) technique, which can be applied to a large variety of thermoset and thermoplastic composites. Due to the particular geometry created through this manufacturing technique, the kirigami pyramidal lattice shows an inversion between in-plane and out-of-plane mechanical properties compared to classical honeycomb configurations. Long wavelength approximations are used to calculate the slowness curves, showing unusual zero-curvature phononic properties in the transverse plane. A novel 2D wave propagation technique based on Bloch waves for damped structures is also applied to evaluate the dispersion behavior of composite (Kevlar/epoxy) lattices with intrinsic hysteretic loss. The 2D wave propagation analysis shows evanescence directivity at different frequency bandwidths and complex modal behavior due to unusual deformation mechanism of the lattice.
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August 2013
Research-Article
Kirigami Auxetic Pyramidal Core: Mechanical Properties and Wave Propagation Analysis in Damped Lattice
Fabrizio Scarpa,
Fabrizio Scarpa
Advanced Composites Centre for Innovation and Science (ACCIS),
e-mail: f.scarpa@bristol.ac.uk
University of Bristol
,BS8 1TR Bristol
, UK
e-mail: f.scarpa@bristol.ac.uk
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Manuel Collet,
Manuel Collet
e-mail: morvan.ouisse@univ-fcomte.fr
Département Mécanique Appliquée,
UMR CNRS 6174,
Institut FEMTO-ST
,Département Mécanique Appliquée,
UMR CNRS 6174,
Besançon 25000,
France
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Kazuya Saito
Kazuya Saito
Institute of Industrial Science (IIS),
e-mail: saito-k@iis.u-tokyo.ac.jp
University of Tokyo
,Tokyo 153-8505
, Japan
e-mail: saito-k@iis.u-tokyo.ac.jp
Search for other works by this author on:
Fabrizio Scarpa
Advanced Composites Centre for Innovation and Science (ACCIS),
e-mail: f.scarpa@bristol.ac.uk
University of Bristol
,BS8 1TR Bristol
, UK
e-mail: f.scarpa@bristol.ac.uk
Manuel Collet
e-mail: morvan.ouisse@univ-fcomte.fr
Département Mécanique Appliquée,
UMR CNRS 6174,
Institut FEMTO-ST
,Département Mécanique Appliquée,
UMR CNRS 6174,
Besançon 25000,
France
Kazuya Saito
Institute of Industrial Science (IIS),
e-mail: saito-k@iis.u-tokyo.ac.jp
University of Tokyo
,Tokyo 153-8505
, Japan
e-mail: saito-k@iis.u-tokyo.ac.jp
Contributed by the Design Engineering Division of ASME for publication in the JOURNAL OF VIBRATION AND ACOUSTICS. Manuscript received April 13, 2012; final manuscript received May 4, 2013; published online June 6, 2013. Assoc. Editor: Mahmoud Hussein.
J. Vib. Acoust. Aug 2013, 135(4): 041001 (11 pages)
Published Online: June 6, 2013
Article history
Received:
April 13, 2012
Revision Received:
May 4, 2013
Citation
Scarpa, F., Ouisse, M., Collet, M., and Saito, K. (June 6, 2013). "Kirigami Auxetic Pyramidal Core: Mechanical Properties and Wave Propagation Analysis in Damped Lattice." ASME. J. Vib. Acoust. August 2013; 135(4): 041001. https://doi.org/10.1115/1.4024433
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