Simulation of Dislocation in Cosserat Elastic Plates

TL;DR

This paper presents a finite element simulation of dislocations in Cosserat elastic plates, modeling dislocation effects and their impact on plate deformation and holes, based on a recent mathematical model.

Contribution

It introduces a numerical simulation approach for dislocations in Cosserat plates using finite element methods, based on a new mathematical model.

Findings

Dislocation modeling affects plate deformation.

Finite element method effectively simulates dislocation effects.

Dislocation influences the behavior around holes in plates.

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.