A Tool to Describe Particle System Evolution from Swarm Robotics Behavior
Résumé
In previous works we have described time evolution of a two-dimensional particles lattice, subject to deformation, without to use Newton's laws. Our experience, in evolution and control of robotic swarm, has suggested as the new position of a particle could be determined by the spatial position of its neighbours; therefore we have used an interaction law based on the spatial position between the particles themselves without defining forces. The tool that we have realized reproduced some behaviour of deformable bodies both according to the standard Cauchy model and second gradient theory. It gives a plausible simulation of continuum deformation and fracture. It can be useful to describe final and sometime intermediate, configuration of a continuum material under assigned strain of some of its points; the advantages are in saving computational time, with respect to solving classical differential equation. Many aspects have to be still investigated, like the relationships describing the interaction rules between particles and its physical meaning and some results does not sound very good. In this paper we try to focus the job done and what is coming over.
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