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arXiv · 2107.04310

A mathematical model of network elastoplasticity

Hiroki Kodama·Ken'ichi Yoshida
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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.

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Hiroki Kodama, Ken'ichi Yoshida. 2021-07-09. A mathematical model of network elastoplasticity. https://doi.org/10.1098/rspa.2021.0828

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