A mathematical model of network elastoplasticity
arXiv:2107.04310 · doi:10.1098/rspa.2021.0828
Abstract
We introduce a mathematical model, based on networks, for the elasticity and plasticity of materials. We define the tension tensor for a periodic graph in a Euclidean space, and we show that the tension tensor expresses elasticity under deformation. Plasticity is induced by local moves on a graph. The graph is described in terms of the weights of edges, and we discuss how these weights affect the plasticity.
29 pages, 14 figures. Final version