Collinear crack problems in a soft ferromagnetic solid

Chen

2020

Acta Mech

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This paper aims at a fundamental perspective of multiple cracks' interaction on the fracture behavior of magnetoelastic materials. A theoretical study is performed on a soft ferromagnetic solid weakened by an array of periodic cracks under an in-plane magnetic loading. By using the conformal mapping technique and the analytic function boundary value theory, a rigorous analytical solution of the magnetic and stress fields is obtained, and the closed-form expressions for the field intensity factors are presented. Numerical examples of magnetically impermeable and permeable cracks are studied to reveal the relationship of the mode-I stress intensity factor with the period ratio of the cracks, the surrounding medium, and the applied magnetic loading. The analytical solution in this study can serve as a theoretical benchmark for the fracture problem of a magnetoelastic solid containing multiple defects.

Section: Magnetically Impermeable Cracksupporting

confidence: 71%

Section: Introductionmentioning

confidence: 99%

Periodically spaced collinear cracks in a soft ferromagnetic material under a uniform magnetic field

Chen

2020

Acta Mech

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“…Thus, the crack should be modeled as a semi-permeable cavity. In the present work, we extend our previous work [17] to the case of a semi-permeable crack to explore the effects of magnetic fields inside the deformed crack in a soft ferromagnetic solid.…”

Section: Introductionmentioning

confidence: 94%

“…Chang et al [16] re-visited the two-dimensional problems in a soft ferromagnetic solid with an elliptic hole or a crack by taking the effects of Maxwell stresses into account in boundary conditions. More recently, Chang et al [17] extended their work [16] to the case of the collinear crack problems in a soft ferromagnetic solid.…”

Section: Introductionmentioning

confidence: 99%

Semi-permeable crack in a soft ferromagnetic solid

Shi

Chang

2013

JAE

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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.

“…Mechanics of piezoelectric/piezomagnetic materials has found considerable interest in recent years [1][2][3][4][5][6][7]. Due to smaller hysteresis and lower aging effect than piezoelectric materials, however, electrostrictive materials and electrostrictive effect have attracted much research interest.…”

Section: Introductionmentioning

confidence: 99%

Electro-elastic fields around an elliptical hole in an electrostrictive plate: Isotropic and uncoupled cases

Meng

2015

JAE

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This work studies on the classical electro-mechanical problem of an electrostrictive plate with an elliptical hole. In the present work, the isotropic case for the electrostrictive plate is considered based on the small strain assumption. The solutions are then provided by the complex variable method for an infinite plate with an elliptic hole or a crack. Moreover, FEM analyses where a 3D electrostrictive element is defined in ABAQUS user subroutine UEL are presented for a finite plate. Numerical results are given to discuss the effects of plate geometries, applied electric fields, material properties, the electric body force and Maxwell stress tensor on the stress fields around the elliptical hole. It is found that the traditional uncoupled treatment may cause an unpredictable inaccuracy and a coupled analysis is needed in general.