Finite element analysis of auxetic plate deformation

The paper deals with computer simulations of mechanical behavior of a thick elastic plate. The plate, made of isotropic material, has been clamped at two lateral surfaces, loaded at the front and back walls and left free at the upper and lower walls. Simulations have been done for Poisson’s ratio from interval −1 < ν < 0.5 using the finite element method. An anomalous feature of the plate deformation for negative Poisson’s ratio values compared to classical positive values has been observed: at extremely negative Poisson’s ratios the displacement vector has components which are anti-parallel to the direction of loading.