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Mode I crack in a soft ferromagnetic material
Author(s) -
LIANG W.,
FANG D.,
SHEN Y.
Publication year - 2002
Publication title -
fatigue and fracture of engineering materials and structures
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.887
H-Index - 84
eISSN - 1460-2695
pISSN - 8756-758X
DOI - 10.1046/j.1460-2695.2002.00511.x
Subject(s) - boundary value problem , magnetic field , nonlinear system , stress intensity factor , materials science , perturbation (astronomy) , mechanics , ferromagnetism , mode coupling , mathematical analysis , structural engineering , mathematics , condensed matter physics , physics , fracture mechanics , composite material , engineering , optics , quantum mechanics
In the existing magnetoelastic theories, stress is proportional to the square of magnetic intensity and the linear model developed is usually used to analyse magnetoelastic problems. For a crack problem, the perturbation of the magnetic field caused by deformation is not much less than the applied field. In this paper, complex potentials for a mode I crack with a nonlinear relation for magnetic intensity are developed. The boundary conditions on crack faces are represented in terms of the continuity of the magnetic field. A solution of the crack problem is obtained by solving the Riemann‐Hilbert problem. Making use of the solution, the effects of the boundary conditions on the crack faces on the magnetoelastic coupling are discussed.