TY - JOUR
T1 - A continuum hyperelastic model for auxetic materials
AU - Ciambella, Jacopo
AU - Saccomandi, Giuseppe
PY - 2014
Y1 - 2014
N2 - We propose a simple mathematical model to describe isotropic auxetic materials in the framework of the classical theory of nonlinear elasticity. The model is derived from the Blatz-Ko constitutive equation for compressible foams and makes use of a non-monotonic Poisson function. An application to the modelling of auxetic foams is considered and it is shown that the material behaviour is adequately described with only three constitutive parameters.
AB - We propose a simple mathematical model to describe isotropic auxetic materials in the framework of the classical theory of nonlinear elasticity. The model is derived from the Blatz-Ko constitutive equation for compressible foams and makes use of a non-monotonic Poisson function. An application to the modelling of auxetic foams is considered and it is shown that the material behaviour is adequately described with only three constitutive parameters.
U2 - 10.1098/rspa.2013.0691
DO - 10.1098/rspa.2013.0691
M3 - Article (Academic Journal)
SN - 1364-5021
JO - Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences
JF - Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences
ER -