Singular stresses in a soft ferromagnetic elastic solid with two coplanar griffith cracks

Y. Shindo

Research output: Contribution to journalArticlepeer-review

22 Citations (Scopus)

Abstract

Following a linear theory for the soft ferromagnetic elastic materials, we consider the linear magnetoelastic problem for an infinite body with two coplanar Griffith cracks under the condition of plane strain. It is assumed that the soft ferromagnetic elastic solid is a homogeneous and isotropic one and is permeated by a uniform magnetostatic field normal to the cracks surfaces. By the use of Fourier transforms we reduce the problem to solving two simultaneous triple integral equations. These equations are exactly solved by using finite Hilbert transform techniques. The singular stresses near the crack tip are expressed in closed elementary forms and the influence of the magnetic fields upon the stress-intensity factors is shown graphically.

Original languageEnglish
Pages (from-to)537-543
Number of pages7
JournalInternational Journal of Solids and Structures
Volume16
Issue number6
DOIs
Publication statusPublished - 1980

ASJC Scopus subject areas

  • Modelling and Simulation
  • Materials Science(all)
  • Condensed Matter Physics
  • Mechanics of Materials
  • Mechanical Engineering
  • Applied Mathematics

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