Antiplane problem of magnetoelasticity for crack propagation in a medium

Багдоев, А. Г.; Movsisyan, L.A.; Shekoyan, Ashot V.

doi:10.1007/bf02682065

Cited by 4 publications

(2 citation statements)

References 2 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…The effects of the magnetic field on the transmission of elastic waves at a geophysical scale were investigated by Knopoff [38]. The anti-plane problem of finite fracture transference in a magnetoelastic medium was studied by Bagdoev et al [39]. Liang et al [40] discussed the magnetoelastic formulation of soft ferromagnetic elastic problem with collinear cracks.…”

Section: Introductionmentioning

confidence: 99%

Anisotropy and magnetoelasticity effects on the propagation of the SH-wave-induced semi-infinite crack in a magnetoelastic orthotropic medium

Singh

2023

Phys. Scr.

View full text Add to dashboard Cite

The crux of the present study is to investigate semi-infinite crack propagation in magnetoelastic strip influenced by propagating SH-wave under orthotropic geometrical configurations. The Wiener-Hopf (WH) technique and two-sided Fourier integral transforms (FIT) are applied in the proposed analytical model. A closed-form expression of the stress intensity factor (SIF) has been established for the constant concentrated force. The SIF in a magnetoelastic orthotropic strip is shown to be significantly affected by the crack length and crack speed, medium anisotropy, and magnetoelastic parameter. The proposed model is compared to the case of a magnetoelastic isotropic strip in order to demonstrate the effect of orthotropy as well as other anomalies. Among other observations, it is noted that regardless of whether orthotropy exists in the strip or not, the value of the SIF rises along with the crack speed until it reaches its maximum, at which point it rapidly declines.

show abstract

Section: Introductionmentioning

confidence: 99%

Anisotropy and magnetoelasticity effects on the propagation of the SH-wave-induced semi-infinite crack in a magnetoelastic orthotropic medium

Singh

2023

Phys. Scr.

View full text Add to dashboard Cite

show abstract

“…The governing equations of magnetoelasticity were derived in [6], internal and external two-dimensional problems of magnetostatics were solved in [1], and the interaction of mechanical strains in solids with an electromagnetic field was investigated in [12]. The great prospects for piezomagnetic materials in modern electronics and engineering generate interest in their effective properties [3][4][5], interaction of magnetic and mechanical fields [9], and magnetoelastic problems for piezomagnetic plates [10,11], bodies with inclusions [7], holes, and cracks [2].…”

Section: Introductionmentioning

confidence: 99%

Two-Dimensional Magnetoelastic Problem for a Multiply Connected Piezomagnetic Body

Kaloerov

Boronenko

2005

Int Appl Mech

View full text Add to dashboard Cite

A general method based on complex variable theory is proposed to determine the magnetic and elastic fields of a piezomagnetic body. This method is used to derive the basic relations for complex potentials in the two-dimensional problem of magnetoelasticity, their general representations for a multiply connected domain, expressions for stresses, displacements, vectors of magnetic field intensity and magnetic flux density, and magnetic field potential. A closed-form solution is obtained for a body with an elliptic (circular) hole or crack subjected at infinity to the action of a constant magnetoelastic field. Numerical results for a piezomagnetic plate with a circular hole are presented Keywords: anisotropic body, complex potentials, crack, hole, inclusion, magnetic field intensity, magnetic flux density, magnetoelasticity, plane problemIntroduction. In recent years, interest in piezomagnetic materials has heightened. Development of analytic and numerical methods for solving specific classes of problems is still one of the urgent tasks in the theory of magnetoelasticity of anisotropic piezomagnetic bodies. The governing equations of magnetoelasticity were derived in [6], internal and external two-dimensional problems of magnetostatics were solved in [1], and the interaction of mechanical strains in solids with an electromagnetic field was investigated in [12]. The great prospects for piezomagnetic materials in modern electronics and engineering generate interest in their effective properties [3-5], interaction of magnetic and mechanical fields [9], and magnetoelastic problems for piezomagnetic plates [10,11], bodies with inclusions [7], holes, and cracks [2].In the present paper, we extend the general approaches to the solution of two-dimensional electroelastic problems for multiply connected bodies [8] to magnetoelastic problems for piezomagnetic bodies with holes and cracks. We will introduce complex potentials for a two-dimensional magnetoelastic problem, derive formulas for the basic magnetoelastic characteristics, formulate boundary conditions for the potentials, obtain their general representations for multiply connected domains, find a magnetoelastic solution for a body with an elliptic (circular) cavity or a crack, and present numerical results.1. Problem Formulation. Let us consider a multiply connected cylindrical anisotropic piezomagnetic body weakened by L longitudinal cavities with generatrices parallel to the cylinder axis. We will use a rectangular coordinate frame Oxyz with the z-axis directed along the cavity generatrices. The cross section of the body by the plane Oxy is a multiply connected domain S bounded by the external boundary L 0 and the outlines L l ( , ) l L = 1 of the holes. As a special case where the outside surface is at

show abstract

Untitled

Borisov

2002

International Applied Mechanics

View full text Add to dashboard Cite

Antiplane problem of magnetoelasticity for crack propagation in a medium

Cited by 4 publications

References 2 publications

Anisotropy and magnetoelasticity effects on the propagation of the SH-wave-induced semi-infinite crack in a magnetoelastic orthotropic medium

Anisotropy and magnetoelasticity effects on the propagation of the SH-wave-induced semi-infinite crack in a magnetoelastic orthotropic medium

Two-Dimensional Magnetoelastic Problem for a Multiply Connected Piezomagnetic Body

Untitled

Contact Info

Product

Resources

About