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.
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| http://www.ncbi.nlm.nih.gov/pmc/articles/PMC9044121 | PMC |
| http://dx.doi.org/10.1098/rspa.2021.0828 | DOI Listing |
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