The Green function for a piezoelectric piezomagnetic magnetoelectric anisotropic elastic medium with an elliptic hole or rigid inclusion

Chung, M. Y.; Ting, T. C. T.

doi:10.1080/09500839508242480

Cited by 68 publications

(34 citation statements)

References 13 publications

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“…Chung and Ting [11] obtained two-dimensional Green's functions for a magnetoelectroelastic anisotropic medium with an elliptical cavity or rigid inclusion. Pan [12] derived the three-dimensional Green's functions in anisotropic magnetoelectroelastic bimaterials.…”

Section: Introductionmentioning

confidence: 99%

“…In order to make piezoelectric/piezomagnetic materials to have high strength, high reliability and long lifetime, the behaviors of cracks in brittle piezoelectric/piezomagnetic structures have to be understood and described [2]. This has motivated the investigations of fracture mechanics of piezoelectric/piezomagnetic materials [3][4][5][6][7][8][9][10][11][12][13][14][15][16][17], and many important achievements have been made over the course of many years.…”

Section: Introductionmentioning

confidence: 99%

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Solutions to a limited-permeable crack or two limited-permeable collinear cracks in piezoelectric/piezomagnetic materials

Zhou

Zhang

2007

Arch Appl Mech

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The solutions of a limited-permeable crack (case I) or two collinear limited-permeable cracks (case II) in piezoelectric/piezomagnetic materials subjected to a uniform tension loading were investigated in this paper using the generalized Almansi's theorem. At the same time, the electric permittivity and the magnetic permeability of air in crack were firstly considered. Through the Fourier transform, the problem can be solved with the help of two pairs of dual integral equations, in which the unknown variables were jumps of displacements across crack surfaces, not the dislocation density functions or the complex variable functions. To solve the dual integral equations, the jumps of displacements across crack surfaces were directly expanded in a series of Jacobi polynomials to obtain the relations among electric displacement intensity factors, magnetic flux intensity factors and stress intensity factors at crack tips.

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Section: Introductionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Solutions to a limited-permeable crack or two limited-permeable collinear cracks in piezoelectric/piezomagnetic materials

Zhou

Zhang

2007

Arch Appl Mech

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“…Thus, in recent years, the study of magnetoelectroelastic materials with defects has received considerable interests. Chung and Ting (1995) addressed two-dimensional (2D) Green functions for a magnetoelectroelastic anisotropic medium with an elliptical cavity or rigid inclusion. Pan (2002) obtained the three-dimensional Green functions in anisotropic magneto-electro-elastic bimaterials.…”

Section: Introductionmentioning

confidence: 99%

Fracture mechanics for a mode III crack in a magnetoelectroelastic solid

Gao

Tong

Zhang

2004

International Journal of Solids and Structures

128

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In this paper, we developed a Stroh-type formalism for anti-plane deformation and then investigated the fracture mechanics for an elliptical cavity in a magnetoelectroelastic solid under remotely uniform in-plane electromagnetic and/or anti-plane mechanical loading, which allowed us to take the electromagnetic field inside the cavity into account. Reducing the cavity into a crack, we had explicit solutions in closed forms for a mode III crack, which included the extreme cases for an impermeable crack and a permeable crack. The results were illustrated with plots, showing that in the absence of mechanical loads, an applied electric or magnetic field, positive or negative, always tended to close the crack. On the other hand, in the presence of a mechanical load, a negative electric or magnetic field retarded crack growth, while a positive field could either enhance or retard crack propagation, depending on the strengths of the applied electric/magnetic fields and the level of the mechanical load as well. In other words, the effect of electric/magnetic fields on the fracture behavior is mechanical load-dependent.

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“…Former activities were focused on modeling piezoelectric problems [Tiersten (1969); Ha et al (1992); Gaudenzi and Bathe (1995); Lee (1995); Chen and Lin (1995); Batra and Liang (1997); Ding and Liang (1999); Liew et al (2002]. Later, there are also some efforts to model magnetoelectric-elastic fields [Alshits et al (1992); Chung and Ting (1995);Pan (2001);; Wang and Shen (2002)]. Recently, increasing interest is devoted to fracture mechanics of piezoelectric Atluri (1996, 2002), Gruebner et al (2003); Govorukha and Kamlah…”

Section: Indroductionmentioning

confidence: 99%

Meshless Local Petrov-Galerkin Method for Solving Contact, Impact and Penetration Problems

Atluri¹

2006

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The Green function for a piezoelectric piezomagnetic magnetoelectric anisotropic elastic medium with an elliptic hole or rigid inclusion

Cited by 68 publications

References 13 publications

Solutions to a limited-permeable crack or two limited-permeable collinear cracks in piezoelectric/piezomagnetic materials

Solutions to a limited-permeable crack or two limited-permeable collinear cracks in piezoelectric/piezomagnetic materials

Fracture mechanics for a mode III crack in a magnetoelectroelastic solid

Meshless Local Petrov-Galerkin Method for Solving Contact, Impact and Penetration Problems

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