Magnetic and electric poling effects associated with crack growth in BaTiO3–CoFe2O4 composite

Sih, G. C.; Song, Zhongxiao

doi:10.1016/s0167-8442(03)00003-x

Cited by 144 publications

(95 citation statements)

References 12 publications

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“…At b ≤ x ≤ 1, y = 0, it can be obtained that b n E n (x) 2 πτ 0 is close to −(x − b). Hence, the solution of present paper can also be proved to satisfactory the boundary conditions (1). In all computations, according to Refs.…”

Section: Numerical Calculations and Discussionmentioning

confidence: 65%

“…To solve the triple integral equations, the jump of the displacements across the crack surfaces is expanded in a series of Jacobi polynomials. This process is quite different from that adopted in previous works (1) - (10), (15) - (19) . Numerical solutions are obtained for the stress, the electric displacement and the magnetic flux intensity factors for the permeable interface crack surface conditions.…”

Section: Introductionmentioning

confidence: 62%

“…However, in fracture mechanics, it is of importance to determine the perturbation stress, the perturbation electric displacement and the perturbation magnetic flux in the vicinity of the crack tips. In the case of the present study, τ (1) yz , τ (2) yz , D (1) y , D (2) y , B (1) y and B (2) y along the crack line can be expressed respectively as…”

Section: Intensity Factorsmentioning

confidence: 95%

“…However, the effort devoted to the fracture mechanics of magneto-electroelastic materials is far behind that devoted to other reliability studies. With increasingly wide application of piezoelectric and piezomagnetic composites in smart material systems, cavity or crack problems in magnetoelectroelastic media have received considerable interest (1) - (12) . Based on the extended Stroh formalism, the genera two-dimensional solutions to the magnetoelectroelastic fracture problem are obtained by Wang and Mai (3) , involving five analytic func-tions of different variables.…”

Section: Introductionmentioning

confidence: 99%

See 3 more Smart Citations

Two Collinear Interface Cracks between Two Dissimilar Functionally Graded Piezoelectric/Piezomagnetic Material Layers under Anti-Plane Shear Loading

Liang

2006

JSME Int. J., Ser. A

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In this paper, the behavior of two collinear interface cracks between two dissimilar functionally graded piezoelectric/piezomagnetic material layers subjected to an anti-plane shear loading is investigated. To make the analysis tractable, it is assumed that the material properties vary exponentially with coordinate vertical to the crack. By using the Fourier transform, the problem can be solved with the help of a pair of triple integral equations in which the unknown variable is the jump of the displacement across the crack surfaces. These equations are solved using the Schmidt method. The normalized stress, the electrical displacement and the magnetic flux intensity factors are determined for different geometric for the permeable electric boundary conditions. The relations among the electric filed, the magnetic flux field and the dynamic stress field near the crack tips can be obtained. Numerical examples are provided to show the effect of the functionally graded parameter and the thickness of the strip upon the stress, the electric displacement and the magnetic flux intensity factors of the crack.

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Section: Numerical Calculations and Discussionmentioning

confidence: 65%

Section: Introductionmentioning

confidence: 62%

Section: Intensity Factorsmentioning

confidence: 95%

Section: Introductionmentioning

confidence: 99%

See 2 more Smart Citations

Two Collinear Interface Cracks between Two Dissimilar Functionally Graded Piezoelectric/Piezomagnetic Material Layers under Anti-Plane Shear Loading

Liang

2006

JSME Int. J., Ser. A

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“…Furthermore, the initiation of cracks will result in the reduction of electromagnetic conversion efficiency, if not fail prematurely. Therefore, researching on the dynamic fracture behaviors of magneto-electro-elastic composites is very worthwhile [2,3] . To obtain the reliable service life time and the reliable action of related devices and to prevent failure during service, most of works concerned about the dynamic fracture problems with assumption of transversely isotropic property.…”

Section: Introductiomentioning

confidence: 99%

Analytical Solution for Dynamic Fracture of Two Coplanar Limited-Permeable Cracks in Magneto-Electro-Elastic Material

Zhang¹

2016

Proceedings of the VII European Congress on Computational Methods in Applied Sciences and Engineering (ECCOMAS Congress 2016)

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Abstract. Two coplanar limited-permeable rectangular cracks in magneto-electro-elastic material are modeled and solved using generalized Almansi's theorem. The mixed boundary value problem is formulated into three pairs of dual integral equations with the help of Fourier transform, in which the unknown functions are the jumps of displacements across the crack-surface. By directly expanding the unknown functions into infinite series form of Jacobi polynomials, the dual integral equations are solved, and the analytical expressions of generalized intensity factors are derived strictly. Based on the generalized intensity factors, the dynamic behaviors of two cracks are estimated under P-wave loads. To show the trends of effects of loading frequency and geometry of cracks on the generalized intensity factors, top finite terms of infinite series are numerically calculated based on the Schmidt method. Numerical results are then drawn graphically. It reveals that the trend of two cracks forming a larger crack by propagating depends strongly on crack geometry and load frequency. This work illuminate the condition inducing different crack propagation patterns, which will benifit the forecast of damage forms of transversely isotropic magneto-electro-elastic material.

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Fracture in magnetoelectroelastic materials using the extended finite element method

Rojas-Díaz

Sukumar

Sáez

et al. 2011

Numerical Meth Engineering

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SUMMARYStatic fracture analyses in two-dimensional linear magnetoelectroelastic (MEE) solids is studied by means of the extended finite element method (X-FEM). In the X-FEM, crack modeling is facilitated by adding a discontinuous function and the crack-tip asymptotic functions to the standard finite element approximation using the framework of partition of unity. In this study, media possessing fully coupled piezoelectric, piezomagnetic and magnetoelectric effects are considered. New enrichment functions for cracks in transversely isotropic MEE materials are derived, and the computation of fracture parameters using the domain form of the contour interaction integral is presented. The convergence rates in energy for topological and geometric enrichments are studied. Excellent accuracy of the proposed formulation is demonstrated on benchmark crack problems through comparisons with both analytical solutions and numerical results obtained by the dual boundary element method.

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Magnetic and electric poling effects associated with crack growth in BaTiO3–CoFe2O4 composite

Cited by 144 publications

References 12 publications

Two Collinear Interface Cracks between Two Dissimilar Functionally Graded Piezoelectric/Piezomagnetic Material Layers under Anti-Plane Shear Loading

Two Collinear Interface Cracks between Two Dissimilar Functionally Graded Piezoelectric/Piezomagnetic Material Layers under Anti-Plane Shear Loading

Analytical Solution for Dynamic Fracture of Two Coplanar Limited-Permeable Cracks in Magneto-Electro-Elastic Material

Fracture in magnetoelectroelastic materials using the extended finite element method

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