Abstract: In this note Walton’s (1987) force-displacement relations for a contact between two identical elastic spheres are discussed. The relations are based on the solution for the oblique compression ...

Abstract: Motivated by studies of low-density materials and fiber-dominated composites, we consider an elastic material whose strain energy function depends only on a finite number of directional strain ...

Abstract: We develop an effective medium theory of the nonlinear elasticity of a random sphere pack based upon the underlying Hertz-Mindlin theory of grain-grain contacts. We compare our predictions for ...