The magnetoelastic problem of cracks in bonded dissimilar materials

Lin, Cheng‐Jian; Lin, Hung-Yeh

doi:10.1016/s0020-7683(02)00153-1

Cited by 31 publications

(16 citation statements)

References 13 publications

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“…The parameter µ = µ 2 /µ 1 is chosen from the interval 0 < µ < 3.5. The relative magnetic permeability µ rj (j = 1, 2) varies within the interval 10-10 6 for the magnetosoft ferromagnetic materials (see Shindo, 1978Shindo, , 1983Hasanyan et al, 1988Hasanyan et al, , 1997Bagdasarian and Hasanyan, 2000;Liang et al, 2002;Lin and Lin, 2002). We write K ++ 2 for the stress intensity factor K ++ 2 = K + 2 (ν 1 , ν 2 , µ, 0) for the purely elastic case (in the absence of magnetic field, i.e.…”

Section: Numerical Resultsmentioning

confidence: 99%

“…One looks for a solution of the system of equations (2.2)-(2.4) in the class of functions tending to zero as |z| → ∞. The boundary conditions for our problem will have the form (see Shndo, 1978Shndo, , 1983Hasanyan et al, 1997;Lin and Lin, 2002) u (1) …”

Section: Main Equations and Boundary Conditionsmentioning

confidence: 99%

“…The number of researches devoted to problems concerned with the influence of electromagnetic fields on the failure of elastic bodies with a crack has increased rapidly recent years (Shindo, 1978(Shindo, , 1983Hasanyan et al, 1988Hasanyan et al, , 1997Parton and Kudryavtsev, 1988;Bagdasarian and Hasanyan, 2000;Liang et al, 2002;Lin and Lin, 2002). They have shown that the electromagnetic field can have a critical effect on the stress deformation state (SDS) near the crack, inhibiting the process of failure as well as enhancing it.…”

Section: Introductionmentioning

confidence: 99%

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Stress–strain state of a piecewise homogeneous ferromagnetic body with an interfacial penny-shaped crack

Hasanyan¹,

Piliposian

2005

Int J Fract

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This paper considers the stress-strain state of a body consisting of two bonded uniform ferromagnetic half-spaces, with an interfacial penny-shaped crack. The body is assumed to be acted on by a uniform magnetic field in a direction normal to the crack and interface. The problem is reduced to the solution of singular integral equations with respect to two unknown functions on a finite interval. These functions are defined analytically, allowing us to obtain formulae for the magnetoelastic stresses and coefficient of stress intensity. From these formulae, the influence of various physico-mechanical parameters and the magnetic field on the stress strain state of the body in the vicinity of crack is studied.

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Section: Numerical Resultsmentioning

confidence: 99%

Section: Main Equations and Boundary Conditionsmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

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Stress–strain state of a piecewise homogeneous ferromagnetic body with an interfacial penny-shaped crack

Hasanyan¹,

Piliposian

2005

Int J Fract

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“…The magneto-elastic problem of straight cracks lying along the interface of two dissimilar soft ferromagnetic materials subjected to remote uniform magnetic induction was considered by Lin and Lin (2002). The magneto-elastic coupling effect in an infinite soft ferromagnetic material with a crack was also studied by Liang et al (2002), the nonlinear effect of magnetic field upon stress and the effect of the deformed crack configuration were taken into consideration.…”

Section: Introductionmentioning

confidence: 99%

Mode III crack problem in a functionally graded magneto-electro-elastic strip

Abdelmoula

et al. 2007

International Journal of Solids and Structures

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Considering the material properties to be one-dimensionally dependent, this paper studied an anti-plane problem for an embedded crack and edge crack perpendicular to the boundary of a functionally graded magneto-electro-elastic strip. The crack is assumed to be either magneto-electrically impermeable or permeable. Integral transform and dislocation density functions are employed to reduce the problem to the solution of a system of singular integral equations. Numerical results show the effects of the loading combination parameter, material gradient parameter and crack configuration on the field intensity factors and the energy release rates of the functionally graded magneto-electro-elastic strip.

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“…Pan [17] obtained three-dimensional Green's functions in anisotropic magneto-electro-elastic bimaterials and exact solution for 2D polygonal inclusion problem in anisotropic magneto-electro-elastic full-, half-, and bimaterial-planes. The magnetoelastic effect in cracked ferromagnetic materials was considered by Lin and Lin [14] and Liang et al [13]. magneto-electro-elastic materials containing a cavity or a crack were investigated by Liu [15].…”

mentioning

confidence: 99%

Fracture analysis in 2D magneto–electro–elastic media by the boundary element method

Dong

Antes

2007

Comput Mech

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An integral formulation for 2D cracked infinite anisotropic magneto-electro-elastic media is presented. Based on the method proposed by Garcia-Sanchez et al. (Comput Struct 83: 804-820, 2005), the hypersingular kernels are analytically transformed into weakly singular and regular integrals with known analytical solution. Special quadratic discontinuous crack tip elements are employed to model the singular characteristics of the stresses, electric displacements and magnetic inductions. The extended stress intensity factors at the crack tips are calculated using the extended discontinuous displacements at crack tip elements based on one point extended displacement formulation. Some results for curved cracks in magneto-electro-elastic media are also presented.

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The magnetoelastic problem of cracks in bonded dissimilar materials

Cited by 31 publications

References 13 publications

Stress–strain state of a piecewise homogeneous ferromagnetic body with an interfacial penny-shaped crack

Stress–strain state of a piecewise homogeneous ferromagnetic body with an interfacial penny-shaped crack

Mode III crack problem in a functionally graded magneto-electro-elastic strip

Fracture analysis in 2D magneto–electro–elastic media by the boundary element method

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