Auxetic Materials and Structures (Engineering Materials) by Teik-Cheng Lim

By Teik-Cheng Lim

This publication lays down the root at the mechanics and layout of auxetic solids and buildings, solids that own damaging Poisson’s ratio. it is going to profit teams of readers: (a) practitioners, reminiscent of product and structural designers, who have to keep watch over mechanical pressure distributions utilizing auxetic fabrics, and (b) educational researchers and scholars who intend to provide distinct mechanical and different actual homes of buildings utilizing auxetic fabrics.

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This ebook lays down the basis at the mechanics and layout of auxetic solids and buildings, solids that own detrimental Poisson’s ratio. it's going to profit teams of readers: (a) practitioners, akin to product and structural designers, who have to keep an eye on mechanical pressure distributions utilizing auxetic fabrics, and (b) educational researchers and scholars who intend to supply targeted mechanical and different actual homes of constructions utilizing auxetic fabrics.

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Results of this model are presented in Sect. 9 together with the missing rib model. It is also of interest to note that a similar structure has been introduced by Evans et al. (1991), as shown in Fig. 1c. Based on the idealized re-entrant unit cell shown in Fig. 2a, Choi and Lakes (1995) proposed the corresponding geometry shown in Fig. 2b for analysis. The resultant Poisson’s ratio at infinitesimal strain is velastic ¼ À sinðu À p=4Þ cosðu À p=4Þ ð2:2:4Þ where the angle u is defined in Fig. 2b, while the Poisson’s ratio at large strain after plastic hinge formation is given as vplastic ¼ cosðu À p=4Þ À cosðu À p=4 À hÞ sinðu À p=4Þ À sinðu À p=4 À hÞ ð2:2:5Þ where h refers to the clockwise angular rotation of cell rib BC.

Bianchi et al. 6 Auxetic Foams 27 Fig. 03 at this strain), and b Poisson’s ratio versus axial engineering strain for as received and processed at 120 °C for 5 min with a compression ratio of approximately 2 Brandel and Lakes (2001). 17 Compression ratio Radial Axial Volume 135 150 135 150 135 Temp. 2 Processing parameters for polyurethane auxetic foams by Bianchi et al. 47 Compression ratio Radial Axial Volume 150 150 135 135 150 Temp. 82 Compression ratio Radial Axial Volume 150 150 135 135 Temp.

Phys Status Solidi B 244(3):828–841 Almgren RF (1985) An isotropic three-dimensional structure with Poisson’s ratio = −1. J Elast 15 (4):427–430 Bianchi M, Scarpa FL, Smith CW (2008) Stiffness and energy dissipation in polyurethane auxetic foams. J Mat Sci 43(17):5851–5860 Bianchi M, Scarpa F, Smith CW, Whittell (2010) Physical and thermal effects on the shape memory behaviour of auxetic open cell foams. J Mat Sci 45(2):347–351 Bjeletich JG, Crossman FW, Warren WJ (1979) The influence of stacking sequence on failure modes in quasi-isotropic graphite-epoxy laminates.

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