Non-singular antiplane fracture theory within nonlocal anisotropic elasticity

S. Mahmoud Mousavi, Alexander M. Korsunsky

Research output: Contribution to journalArticlepeer-review

12 Citations (Scopus)


In the present paper, the distributed dislocation technique is applied for the analysis of anisotropic materials weakened by cracks. Eringen's theory of nonlocal elasticity of Helmholtz type is employed. The non-singular screw dislocation within anisotropic elasticity is distributed to model cracks of mode III. The corresponding dislocation density functions are evaluated using the proper crack-face boundary conditions. The nonlocal stress field within a plane weakened by cracks is determined. The crack opening displacement is also discussed within the framework of nonlocal elasticity. The stress singularity of the classical linear elasticity is removed by the introduction of the nonlocal theory of elasticity. The general anisotropic case and the special case of orthotropic material are studied. The effect of material orthotropy is presented for a crack which is not necessarily aligned with the principal orthotropy direction.

Original languageEnglish
Pages (from-to)854-861
Number of pages8
JournalMaterials and Design
Publication statusPublished - 25 Dec 2015
Externally publishedYes


  • Anisotropy
  • Cracks
  • Dislocations
  • Fracture mechanics
  • Integral equations
  • Nonlocal elasticity


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