Simulation of Dislocation in Cosserat Elastic Plates

Lev Steinberg; Roman Kvasov

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arXiv · 1805.01535

Simulation of Dislocation in Cosserat Elastic Plates

Lev Steinberg·Roman Kvasov

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Abstract

In this article we present the numerical simulation of a dislocation incorporated into a Cosserat plate. The simulation is based on the mathematical model for bending of Cosserat elastic plates recently developed by the authors. The dislocation is modeled by a sequence of domains that converge to the point of the dislocation and by a residual force distributed around that point. The resulted plate deformation is calculated using the Finite Element method. We also discuss a possible effect of the dislocation on a hole incorporated into the plate.

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Lev Steinberg, Roman Kvasov. 2018-04-24. Simulation of Dislocation in Cosserat Elastic Plates. https://arxiv.org/abs/1805.01535

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