(1) Département de Mathématique, Université Libre de Bruxelles, Campus Plaine, C.P. 218/1, 1050 Bruxellex, Belgium;(2) Department of Mathematical Physics, University College Dublin, Dublin 4, Ireland
Abstract:
An example of an orthorhombic material is constructed such that even though the strain-energy density is positive definite, Poisson's ratio may take an arbitrarily large positive value for one pair of orthogonal directions and take an arbitrarily small negative value for another pair of orthogonal directions.