Computational Simulation and Optimization of Functionally Graded Auxetic Structures Made From Inverted Tetrapods

Auxetic cellular materials show great potential for improved properties in case of impact loading. Due to this potential, auxetic structures made from inverted tetrapods are extensively analyzed experimentally and computationally. The built samples are compressed in two orthogonal directions to determine their base mechanical properties and deformation mechanisms. The lattice computational model is developed and validated using the experimental results. A new shape optimization procedure to develop new auxetic structures with functionally graded geometry is proposed and tested in a case study. With introduction of the functionally graded geometry the response of the auxetic structure can be tailored to a particular loading condition, which is especially important in impact or ballistic performance of modern composite materials.

[1]  P. M. Piglowski,et al.  Enhanced auxeticity in Yukawa systems due to introduction of nanochannels in [ 001 ] -direction , 2016 .

[2]  Robert Almgren,et al.  An isotropic three-dimensional structure with Poisson's ratio =−1 , 1985 .

[3]  K. E. EVANS,et al.  Molecular network design , 1991, Nature.

[4]  Ruben Gatt,et al.  A Novel Process for the Manufacture of Auxetic Foams and for Their re‐Conversion to Conventional Form , 2009 .

[5]  Kogure,et al.  Mechanism for negative poisson ratios over the alpha- beta transition of cristobalite, SiO2: A molecular-dynamics study , 2000, Physical review letters.

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

[7]  Gwendolen C. Reilly,et al.  Fabrication and Mechanical Characterisation of Titanium Lattices with Graded Porosity , 2014 .

[8]  Gaoyuan Wei Negative and conventional Poisson’s ratios of polymeric networks with special microstructures , 1992 .

[9]  J. Mercure,et al.  Fermi surface and van Hove singularities in the itinerant Metamagnet Sr3Ru2O7. , 2008, Physical review letters.

[10]  R. Singer,et al.  Design of Auxetic Structures via Mathematical Optimization , 2011, Advanced materials.

[11]  R. Singer,et al.  Auxetic cellular structures through selective electron‐beam melting , 2010 .

[12]  Akbar A. Javadi,et al.  Design and optimization of microstructure of auxetic materials , 2012 .

[13]  Tomasz Strek,et al.  Computational analysis of sandwich‐structured composites with an auxetic phase , 2014 .

[14]  R. Baughman,et al.  Negative Poisson's ratios as a common feature of cubic metals , 1998, Nature.

[15]  Kenneth E. Evans,et al.  Indentation Resilience of Conventional and Auxetic Foams , 1998 .

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

[17]  F. Scarpa,et al.  A Gradient Cellular Core for Aeroengine Fan Blades Based on Auxetic Configurations , 2011 .

[18]  K. Wojciechowski,et al.  Two-dimensional isotropic system with a negative poisson ratio , 1989 .

[19]  Teik-Cheng Lim,et al.  Functionally graded beam for attaining Poisson-curving , 2002 .

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

[21]  B. Gu,et al.  The bending and failure of sandwich structures with auxetic gradient cellular cores , 2013 .

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

[23]  Alper Güner,et al.  Accurate springback prediction in deep drawing using pre-strain based multiple cyclic stress–strain curves in finite element simulation , 2016 .

[24]  Michael Stingl,et al.  Mechanical characterisation of a periodic auxetic structure produced by SEBM , 2012 .

[25]  M. Ruzzene,et al.  Dynamic behaviour of auxetic gradient composite hexagonal honeycombs , 2016 .

[26]  Y. Kanno,et al.  A mixed integer programming approach to designing periodic frame structures with negative Poisson’s ratio , 2014 .