2 Works

Three-phase parabolic inhomogeneities with internal uniform stresses in plane and anti-plane elasticity

X. Wang & P. Schiavone
We examine the in-plane and anti-plane stress states inside a parabolic inhomogeneity which is bonded to an infinite matrix through an intermediate coating. The interfaces of the three-phase parabolic inhomogeneity are two confocal parabolas. The corresponding boundary value problems are studied in the physical plane rather than in the image plane. A simple condition is found that ensures that the internal stress state inside the parabolic inhomogeneity is uniform and hydrostatic. Furthermore, this condition is...

Uniform stress field inside a non-parabolic open inhomogeneity interacting with a mode III crack

X. Wang & P. Schiavone
Using conformal mapping techniques, analytic continuation and the theory of Cauchy singular integral equations, we prove that a non-parabolic open inhomogeneity embedded in an elastic matrix subjected to a uniform remote anti-plane stress nevertheless admits an internal uniform stress field despite the presence of a finite mode III crack in its vicinity. Our analysis indicates that: (i) the internal uniform stress field is independent of the specific shape of the inhomogeneity and the presence of...

Registration Year

  • 2021
    1
  • 2020
    1

Resource Types

  • Data Paper
    2

Affiliations

  • University of Alberta
    2
  • East China University of Science and Technology
    2