Mass spring models with adjustable Poisson’s ratio

Abstract

In this paper we show how to construct mass spring models for the representation of homogeneous isotropic elastic materials with adjustable Poisson's ratio. Classical formulation of elasticity on mass spring models leads to the result, that while materials with any value of Young's modulus can be modeled reliably, only fixed value of Poisson's ratio is possible. We show how to extend the conventional model to overcome this limitation. The technique is demonstrated on cubic lattice as well as disordered networks.