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 {and} Astronautics, Nanjing, Jiangsu 210016, China. Tel.: +86 25
8489 6237; E-mail: [email protected]
Abstract: On the crack problem of ferromagnetic solids, almost all studies in
previous literatures used two simple crack models, e.g., permeable and
impermeable crack models. This means that a crack is always assumed to be a
slit without thickness (mathematical crack). In fact, when a ferromagnetic
solid with a crack is placed in magnetic fields, the mechanical/or magnetic
loadings will make the crack opening and the high magnetic fields will be
induced inside the deformed crack. Thus, the crack should be modeled as a
semi-permeable cavity. In the present work, the semi-permeable crack model is
adopted to study the fracture problems of a soft ferromagnetic solid. The
general solutions are derived for complex potential functions and the intensity
factors of fields. For some special cases, more explicit solutions are given
and compared with those in literature. Numerical results are also presented to
discuss the effects of magnetic fields inside the crack on fracture behavior of
the ferromagnetic solid, and it is found that the model of semi-permeable crack
is more reasonable than that of permeable crack or impermeable crack.
