Author(s)

Roman Kvasov^1*, Lev Steinberg²

¹Department of Mathematics, University of Puerto Rico at Aguadilla, Puerto Rico, USA.
²Department of Mathematics, University of Puerto Rico at Mayaguez, Puerto Rico, USA.

This article provides the numerical modeling of the dislocations in the Cosserat elastic plates based on the Cosserat Plates Theory 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 plate deformation caused by the dislocation is calculated using the Finite Element Method. We also discuss the effect of the dislocation on the cavities present in the Cosserat plates.

Dislocation, Cosserat Plates, Cosserat Materials

Kvasov, R. and Steinberg, L. (2022) Dislocations in Cosserat Plates. Journal of Applied Mathematics and Physics, 10, 3369-3384. doi: 10.4236/jamp.2022.1011223.