Shear Deformation in a Class of Thick Hexagonal Plates

作者: Teik-Cheng Lim

DOI: 10.1002/PSSB.201700014

关键词:

摘要: The shear deformation characteristics of a simply supported and uniformly loaded regular hexagonal plate is investigated herein, including cases when the made from auxetic materials. Specifically, correction factor for such obtained by matching its maximum deflections between Mindlin Reddy theories after convenient Kirchhoff theory model has been proposed. Results show that suppressed if material auxetic; example, extent conserved even thickness doubled, provided Poisson's ratio reduces 0.5 to −1. When benchmarked against other shapes, comparable with those square equilateral triangular plates. Therefore, design principles incorporate in thick plates can be extended plates, this validity applies both conventional

参考文章(55)
R. LAKES, Foam Structures with a Negative Poisson's Ratio. Science. ,vol. 235, pp. 1038- 1040 ,(1987) , 10.1126/SCIENCE.235.4792.1038
Gaoyuan Wei, Negative and conventional Poisson’s ratios of polymeric networks with special microstructures Journal of Chemical Physics. ,vol. 96, pp. 3226- 3233 ,(1992) , 10.1063/1.461966
Alessandro Spadoni, Massimo Ruzzene, Stefano Gonella, Fabrizio Scarpa, Phononic properties of hexagonal chiral lattices Wave Motion. ,vol. 46, pp. 435- 450 ,(2009) , 10.1016/J.WAVEMOTI.2009.04.002
Sahab Babaee, Jongmin Shim, James C. Weaver, Elizabeth R. Chen, Nikita Patel, Katia Bertoldi, 3D Soft Metamaterials with Negative Poisson's Ratio Advanced Materials. ,vol. 25, pp. 5044- 5049 ,(2013) , 10.1002/ADMA.201301986
K. W. Wojciechowski, K. V. Tretiakov, M. Kowalik, Elastic properties of dense solid phases of hard cyclic pentamers and heptamers in two dimensions. Physical Review E. ,vol. 67, pp. 036121- 036121 ,(2003) , 10.1103/PHYSREVE.67.036121
K. E. EVANS, M. A. NKANSAH, I. J. HUTCHINSON, S. C. ROGERS, Molecular network design Nature. ,vol. 353, pp. 124- 124 ,(1991) , 10.1038/353124A0
Ken E Evans, Auxetic polymers: a new range of materials Endeavour. ,vol. 15, pp. 170- 174 ,(1991) , 10.1016/0160-9327(91)90123-S
A. Alderson, K. E. Evans, Microstructural modelling of auxetic microporous polymers Journal of Materials Science. ,vol. 30, pp. 3319- 3332 ,(1995) , 10.1007/BF00349875
E. A. Friis, R. S. Lakes, J. B. Park, Negative Poisson's ratio polymeric and metallic foams Journal of Materials Science. ,vol. 23, pp. 4406- 4414 ,(1988) , 10.1007/BF00551939