Effects of Electromagnetic Coupling on a Moving Crack in Polarized Ceramics

Yang, Jiashi

doi:10.1023/b:frac.0000031189.26034.a6

Cited by 8 publications

(8 citation statements)

References 7 publications

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“…Furthermore, it is concluded that the elastic displacement and strain field depend on v T , not on c, implying that the elastic displacement and strain fields are the same as the quasi-static solutions. This conclusion agrees with that for a moving crack in a polarized ceramic analyzed by Yang (2004). Similarly, the dynamic magnetic field component H 3,2 is related to c, not to v T , which can be caused not only electric impact but also mechanical impact, indicating sudden mechanical loading may induce dynamic electromagnetic behavior.…”

Section: Solution Of the Problemsupporting

confidence: 88%

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Electromagnetoelastic behavior induced by a crack under antiplane mechanical and inplane electric impacts

Yang

2005

Int J Fract

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Based on the piezoelectromagnetism theory, the dynamic problem of a crack of finite length embedded in a polarized ceramic under the action of antiplane mechanical impact and inplane electric impact is considered. The basic equations are simplified to two decoupled wave equations. Integral transform techniques are employed to reduce the associated initial-boundary value problem to integral equations. By using numerical methods, the resulting integral equations are solved and dynamic field intensity factors are presented graphically. A comparison of the dynamic results and the quasi-static results for dynamic field intensity factors near the crack tips is made, and the effect of mechanical impact on the dynamic magnetic field intensity factor is examined.

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Section: Solution Of the Problemsupporting

confidence: 88%

“…This is fundamentally different from the quasi-static theory which in the same situation results in a wave equation and a Laplace equation. Yang (2004) further studied a semi-infinite antiplane shear moving crack in polarized ceramics.…”

Section: Introductionmentioning

confidence: 99%

Electromagnetoelastic behavior induced by a crack under antiplane mechanical and inplane electric impacts

Yang

2005

Int J Fract

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“…(67) shows that the dynamic energy release rate is an odd function of the dynamic electric displacement intensity factor and the dynamic magnetic induction intensity factor, which is consistent with experimental evidence Tobin and Pak, 1993;Cao and Evans, 1994;Lynch et al, 1995;Park and Sun, 1995a,b;Zhang et al, 2002;Chen and Lu, 2003). The axi-symmetric dynamic crack problem of magnetoelectroelastic layer studied by Feng et al (2007b) is analogous to the Mode-I dynamic crack problem with the crack plane perpendicular to the symmetry axis, whereas the anti-plane dynamic crack problems of piezoelectric material and functionally graded magneto-electro-elastic strip studied by Dascalu and Maugin (1995), Yang (2004), Li and Yang (2005), and Feng and Su (2006), respectively, correspond to the Mode-III dynamic crack problem with the crack front along the symmetry axis. As the crack velocity tends to zero, the formula reduces to the quasi-static case studied by Gao et al (2004a,b) and Mai (2003, 2007).…”

Section: Path-independent Integralsupporting

confidence: 83%

“…In recent years, research on quasi-static and dynamic fracture of magneto-electro-thermo-elastic solids has drawn considerable attention because of the rapid development of this new kind of multifunctional materials for various engineering applications (e.g., Mai, 2003, 2007;Gao et al, 2003aGao et al, ,b, 2004aIng and Wang, 2004a,b;Yang, 2004;Li and Yang, 2005;Niraula and Wang, 2006;Feng and Su, 2006;Feng et al, 2007a,b). As reviewed by Chen and Lu (2003), invariant integrals are attractive candidates for fracture criteria, but the main difficulty lies in the fundamental discrepancy between theoretical prediction and experimental observation on crack growth in piezoelectric materials.…”

Section: Introductionmentioning

confidence: 99%

Energy release rate and path-independent integral in dynamic fracture of magneto-electro-thermo-elastic solids

Chen

2009

International Journal of Solids and Structures

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a b s t r a c tThe energy release rate and associated energy flux integral in dynamic fracture of magneto-electrothermo-elastic solids are formulated with the inclusion of multi-field fully coupled effects based on fundamental principles of thermodynamics. The difference between the global and local dynamic contour integrals is caused by unsteady state, mechanical body force, electricity conduction and thermal effect as the closed contour including crack faces is chosen. This formulation successfully captures the cracktip singularity of coupled fields, offers the right expression for the crack driving force, and resolves the controversial issue on magneto-electro-thermo-elastic fracture criterion. Especially, for steady-state crack propagation in a magneto-electro-elastic solid, the path-independent dynamic contour integral is determined from the asymptotic near-tip field solution based on the Stroh-type formalism and the resulting dynamic energy release rate has an odd dependence on the dynamic magnetic induction intensity factor and the dynamic electric displacement intensity factor.

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“…Such a fully dynamic theory is called piezoelectromagnetism [17,28,32,38]. Within this framework, various studies have been dedicated to investigate the wave propagation problem [17,38,41], to establish variational principles [24,28,32], to analyze anti-plane semi-infinite moving cracks in polarized ceramics [39].…”

Section: Introductionmentioning

confidence: 99%

Spatial Behavior and Continuous Dependence Results in the Linear Dynamic Theory of Magnetoelectroelasticity

Galeş

2011

J Elast

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This paper is concerned with some general theorems for the linear dynamic theory of magnetoelectroelasticity. First, the spatial behavior of solutions is studied. In this sense, the so called "support" of the given data in a fixed interval of time [0, T ] is introduced and an adequate time-weighted surface power function associated with the solution at issue is considered. Using their properties, we get the domain of influence and an exponential decay estimate with time-independent rates inside the domain of influence. As a by-product, a uniqueness result is derived for both bounded and unbounded bodies. Then, the case of non-zero initial conditions is also considered. Under a boundedness restriction on the initial data, an energy estimate is obtained. Finally, a continuous dependence result of solutions upon initial data and body forces is established.

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Effects of Electromagnetic Coupling on a Moving Crack in Polarized Ceramics

Cited by 8 publications

References 7 publications

Electromagnetoelastic behavior induced by a crack under antiplane mechanical and inplane electric impacts

Electromagnetoelastic behavior induced by a crack under antiplane mechanical and inplane electric impacts

Energy release rate and path-independent integral in dynamic fracture of magneto-electro-thermo-elastic solids

Spatial Behavior and Continuous Dependence Results in the Linear Dynamic Theory of Magnetoelectroelasticity

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