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Mathematics > Differential Geometry
Title: A mathematical model of network elastoplasticity
(Submitted on 9 Jul 2021 (v1), last revised 27 Apr 2022 (this version, v2))
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.
Submission history
From: Ken'ichi Yoshida [view email][v1] Fri, 9 Jul 2021 08:54:33 GMT (1645kb,D)
[v2] Wed, 27 Apr 2022 08:18:55 GMT (1641kb,D)
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