2020/03/24 by Ramiro Dell’Erba, dell'Erba, Ramiro
Engineering · Materials Science · #Advanced Materials and Mechanics #Computational Engineering #Elasticity and Material Modeling #FOS: Computer and information sciences #Finance #Nonlocal and gradient elasticity in micro/nano structures #Robotics (cs.RO) #and Science (cs.CE)
paper · pdf · doi:10.48550/arxiv.2003.11908
openalex publication_date 2020/03/24 · openalex created_date 2020/04/03 · openalex updated_date 2026/07/28
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.