Deformation and stress in materials with inhomogeneity/void under contact loading

Donglong Li*, Q. Jane Wang*, Mengqi Zhang, Phil Hegedus, Peter Glaws

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

4 Scopus citations


Materials may have inhomogeneities or inclusions embedded, which can result in stress concentrations, complex deformation, or even cracks, around the interface of inhomogeneity/inclusion and matrix. This paper evaluates the subsurface deformation and stress fields in the vicinity of a solid inhomogeneity, a hollow shell, and a void, or a crack, based on the numerical equivalent inclusion method (NEIM) and fast Fourier Transforms (FFT). A group of numerical simulations is conducted to reveal the displacements around inhomogeneities and cracks, in the forms of single inhomogeneity (solid or void), a layered inhomogeneity (a hollow shell), and an inhomogeneity with void tips. Stress volume integrals are calculated to quantify the influences of material properties, geometry, location, and orientation of inhomogeneities on displacement and stress transmissions across the inhomogeneity-matrix interfaces.

Original languageEnglish (US)
Article number103846
JournalMechanics Research Communications
StatePublished - Mar 2022


  • Deformation
  • Inhomogeneity
  • Stress field
  • Void tips

ASJC Scopus subject areas

  • Civil and Structural Engineering
  • General Materials Science
  • Condensed Matter Physics
  • Mechanics of Materials
  • Mechanical Engineering


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