The mechanical properties of an auxetic metamaterial (one with negative Poisson’s
ratio) derived from hinged triangles were investigated. First, a general coordinate
formula is given, and a method for the rapid prediction of the Poisson’s ratio and
mechanical properties of such models is developed by combining the finite
element method with homogenization techniques. The effects of rotation
angle and side length on the Poisson’s ratios and effective moduli in the
- and
-directions
are discussed and experimentally validated. Finally, the mechanical properties of 3D
auxetic materials composed of different angles and side lengths are analyzed. The
results show that the proposed method accurately forecasts the mechanical behavior
of the model. These analyses provide a theoretical foundation for the rapid
design of negative Poisson’s ratio structures based on mechanical performance
requirements.
Keywords
negative Poisson's ratio structure, mechanical property
prediction, different rotation angles and slenderness
ratios, 3D auxetic structure