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Simulation of Dislocation in Cosserat Elastic Plates

2018/04/24 by Lev Steinberg, Steinberg, Lev, Roman Kvasov +1
Engineering · #Advanced machining processes and optimization #Drilling and Well Engineering #Engineering Technology and Methodologies #FOS: Physical sciences #Soft Condensed Matter (cond-mat.soft)

paper · pdf · doi:10.48550/arxiv.1805.01535

openalex publication_date 2018/04/24 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

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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