Novel cloaking lamellar structures for a screw dislocation dipole, a circular Eshelby inclusion and a concentrated couple.

Proc Math Phys Eng Sci

Department of Mechanical Engineering, University of Alberta, 10-203 Donadeo Innovation Centre for Engineering, Edmonton, Alberta T6G 1H9, Canada.

Published: September 2020

AI Article Synopsis

  • Using conformal mapping techniques, innovative lamellar structures are created to cloak the impact of screw dislocation dipoles, circular Eshelby inclusions, or concentrated couples.
  • The lamellar design consists of two half-planes attached by a central coating of adjustable thickness that houses one of the aforementioned elements.
  • These configurations ensure that the presence of the dislocation dipole, Eshelby inclusion, or concentrated couple does not disrupt the uniform stress fields in the adjacent half-planes.

Article Abstract

Using conformal mapping techniques, we design novel lamellar structures which cloak the influence of any one of a screw dislocation dipole, a circular Eshelby inclusion or a concentrated couple. The lamellar structure is composed of two half-planes bonded through a middle coating with a variable thickness within which is located either the dislocation dipole, the circular Eshelby inclusion or the concentrated couple. The Eshelby inclusion undergoes either uniform anti-plane eigenstrains or uniform in-plane volumetric eigenstrains. As a result, the influence of any one of the dislocation dipole, the circular Eshelby inclusion or the concentrated couple is cloaked in that their presence will not disturb the prescribed uniform stress fields in both surrounding half-planes.

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Source
http://www.ncbi.nlm.nih.gov/pmc/articles/PMC7544348PMC
http://dx.doi.org/10.1098/rspa.2020.0095DOI Listing

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