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Particle based methods such as the Discrete Element Method and the LatticeSpring Method may be used for describing the behaviour of isotropic linearelastic materials. However, the common bond models employed to describe theinteraction between particles restrict the range of Poisson's ratio that can berepresented. In this paper, to overcome the restriction, a modified bond modelthat includes the coupling of shear strain energy of neighbouring bonds isproposed. The coupling is described by a multi-bond term that enables the modelto distinguish between shear deformations and rigid-body rotations. Thepositive definiteness of the strain energy function of the modified bond modelis verified. To validate the model, uniaxial tension, pure shear, pure bendingand cantilever bending tests are performed. Comparison of the particledisplacements with continuum mechanics solution demonstrates the ability of themodel to describe the behaviour of isotropic linear elastic material for valuesof Poisson's ratio in the range $0 \leq \nu < 0.5$.

A modified bond model for describing isotropic linear elastic material behaviour with the particle method