A mathematical model of network elastoplasticity
Differential Geometry
2022-04-28 v2 Materials Science
Combinatorics
Dynamical Systems
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.
Keywords
Cite
@article{arxiv.2107.04310,
title = {A mathematical model of network elastoplasticity},
author = {Hiroki Kodama and Ken'ichi Yoshida},
journal= {arXiv preprint arXiv:2107.04310},
year = {2022}
}
Comments
29 pages, 14 figures. Final version