Affiliations: [a] State Key Laboratory of Mechanics and Control of
Mechanical Structures, Nanjing University of Aeronautics and Astronautics,
Nanjing, Jiangsu, China
Correspondence:
[*]
Corresponding author: Cun-fa Gao, State Key Laboratory of
Mechanics and Control of Mechanical Structures, Nanjing University of
Aeronautics & Astronautics, Nanjing 210016, Jiangsu, China. Tel.: +86 25
8489 6237; E-mail: [email protected]
Abstract: The 2D problems of a soft ferromagnetic solid with collinear cracks
are studied based on the complex variable method. First, the general solutions
for potential functions of magnetic fields and stress fields are derived by
using magnetically permeable, impermeable and conducting crack models,
respectively. Then, for special cases of one and two cracks, more explicit
solutions are given for potential functions and intensity factors of total
stresses. Finally, numerical results are presented to discuss the effects of
applied magnetic loading on fracture behavior of the ferromagnetic solid. It is
found that the total stresses always have the classical singularity of the
r^{ - 1/2} type at the crack tips for the considered three
crack models, and the applied magnetic loading may either enhance or retard
crack growth depending on the adopted crack models.
