A Practical Approach for Applying Non-linear Dynamics to Particle Systems

In this paper we present a newmethod for approximating non-linear dynamics in deformable simulations based on a full cubic polynomial formulation of the inter-particle force. The proposed approach is a non-physical extension of the well known St Venant Kirchhoff force, focusing on practical considerations about the behavior of the deformable model. Therefore it is very useful for simulating and controlling non-linear stretching and compressing properties of deformable models in applications where the computation time comprises a major constraint. The presented force model can be easily implemented by the widely used particle systems and can be parameterized based on a direct relation to spring models. We show that the non linear stretching behavior of the proposed model is required for simulations where the external forces which interact with the models are large in scale, while the performance of the presented method is comparable to simple mass-spring systems.