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Neutrality of coated holes in the presence of screw dislocation dipoles or circular thermal inclusions

Wang X., Schiavone P.

Archives of Mechanics

2018

Vol. 70, nr 5

405--427

In this paper, we consider the design of neutral coated holes in two particular cases when the thick coating itself is altered by the presence of some form of material imperfection. In the first case we consider anti-plane deformations of a linearly elastic solid when the thick coating applied to the hole includes a screw dislocation dipole. In the second case, we investigate the design of neutral coated holes in plane elasticity when the thick coating contains a circular thermal inclusion and the surrounding linearly elastic solid is subjected to uniform remote hydrostatic stresses. The design is achieved by constructing particular forms of the conformal mapping function for the coating itself. Several examples are presented to demonstrate the resulting solutions. Our numerical results show that the existence of the screw dislocation dipole or the circular thermal inclusion in the coating exerts a significant influence on the shape of the neutral coated hole.

Electro-elastic fields of a plane thermal inclusion in isotropic dielectrics with polarization gradient

Nowacki J. P.

Archives of Mechanics

2004

Vol. 56, nr 1

33-57

Coupled electro-elastic fields excited by a thermal inclusion in an isotropic dielectric medium with polarization gradient are studied in the framework of the Mindlin theory. An inclusion represents a plane heated layer differing from the outside medium only by its temperature. A series of problems are considered: an inclusion in an infinite medium, at a surface of a half-infinite body, in the middle or at the surface of a plate with free or clamped faces. The found Mindlin's corrections to the fields of mechanical displacements, strains and stresses are expectably small. However, the arising accompanied electric fields localized in the narrow zones at surfaces and interfaces can have rather high amplitudes.