Position based dynamic of a particle system: a configurable algorithm to describe complex behaviour of continuum material starting from swarm robotics

Abstract

In a previous work we considered a two-dimensional lattice of particles and calculated its time evolution by using an interaction law based on the spatial position of the particles themselves. The model reproduced the behaviour of deformable bodies both according to the standard Cauchy model and second gradient theory; this success led us to use this method in more complex cases. This work is intended as the natural evolution of the previous one in which we shall consider both energy aspects, coherence with the principle of Saint Venant and we start to manage a more general tool that can be adapted to different physical phenomena, supporting complex effects like lateral contraction, anisotropy or elastoplasticity.

References in corpus (3)

• Continuum-mechanical, Anisotropic Flow model for polar ice masses, based on an anisotropic Flow Enhancement factor
• Numerical investigation of a particle system compared with first and second gradient continua: Deformation and fracture phenomena
• Determination of spatial configuration of an underwater swarm with minimum data