Green's functions for two-phase transversely isotropic magneto-electro-elastic media

Ding, Hu; Ai-min, Jiang; Hou, Peng; Chen, Weiqiu

doi:10.1016/j.enganabound.2004.12.010

Cited by 62 publications

(47 citation statements)

References 23 publications

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“…Fundamental solutions corresponding to unit point force P 3 in the z-direction. Using the derivation procedures of [Ding et al 2005], the fundamental solutions are obtained.…”

Section: Appendix A: Fundamental Solutionsmentioning

confidence: 99%

“…Qin [2004] derived the Green's function for magnetoelectroelastic solids with an arbitrarily oriented halfplane or bimaterial interface. Ding et al [2005] obtained the Green's functions for two-phase transversely isotropic magnetoelectroelastic media, including the two-dimensional Green's functions of an infinite plane and an infinite half-plane as well as the three-dimensional counterparts.…”

Section: Introductionmentioning

confidence: 99%

“…Hou et al [2005] presented the three-dimensional Green's functions of infinite, two-phase, and semiinfinite transversely isotropic magnetoelectroelastic media under point forces, point charge, and magnetic monopole in terms of elementary functions for all cases of distinct eigenvalues and multiple eigenvalues. Wang and Shen [2002] gave the general solutions and the fundamental solutions or Green's functions for magnetoelectroelastic media through five potential functions.…”

Section: Introductionmentioning

confidence: 99%

“…The integrity and reliability of the structures depend greatly on the defects, such as inclusion, void, crack, etc., in the materials and structures. So the study of cracks in magnetoelectroelastic materials and structures has been attracting more and more efforts [Huang and Kuo 1997;Wang and Shen 2003;Wang and Mai 2003;Gao and Noda 2004;Zhou et al 2004;Tian and Rajapakse 2005;Zhao et al 2006a;Zhao et al 2006b]. …”

Section: Introductionmentioning

confidence: 99%

See 3 more Smart Citations

Extended displacement discontinuity method for crack analysis in three-dimensional two-phase transversely isotropic magnetoelectroelastic media

Zhao

Fan

et al. 2008

JOMMS

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Green's functions for extended displacement discontinuity in a three-dimensional two-phase transversely isotropic magnetoelectroelastic medium are obtained by using the integral equation method. Based on the obtained Green's functions, an extended displacement discontinuity method is developed for analysis of planar cracks of arbitrary shape in three-dimensional two-phase magnetoelectroelastic media. A rectangular interior crack parallel to the interface under the electrically and magnetically impermeable boundary condition is analyzed, and the extended intensity factors are calculated by the proposed method. The magnetoelectroelastic medium is made with BaTiO 3 as the inclusion and CoFe 2 O 4 as the matrix. The influences of the interface and the material properties on the extended intensity factors are studied. Numerical results show that the three normalized extended intensity factors, that is, the stress intensity factor, the electric displacement intensity factor, and the magnetic induction intensity factor, are different both from each other and from the case of a crack in a homogeneous medium.

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“…Fundamental solutions corresponding to unit point force P 3 in the z-direction. Using the derivation procedures of [Ding et al 2005], the fundamental solutions are obtained.…”

Section: Appendix A: Fundamental Solutionsmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

See 2 more Smart Citations

Extended displacement discontinuity method for crack analysis in three-dimensional two-phase transversely isotropic magnetoelectroelastic media

Zhao

Fan

et al. 2008

JOMMS

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“…It is also observed that the piezoelectric and piezomagnetic composites used for engineering structures, particularly in smart and intelligent structure systems in the recent years. Due to their ability of converting energy from one form to the other (among magnetic, electric and mechanical energies) these materials have been widely used in ultrasonic imaging devices, sensors, actuators, transducers and many other emerging components [Nan 1994;Harshe et al 1993;Benveniste 1995;Ding et al 2005]. There is a strong need for theories or techniques that can predict the coupled response of these smart materials, as well as structure composed of them.…”

Section: Introductionmentioning

confidence: 99%

Finite element modeling of a layered, multiphase magnetoelectroelastic cylinder subjected to an axisymmetric temperature distribution

Ganesan

Kumaravel

Raju

2007

JOMMS

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This paper presents finite element formulation for dynamic behavior of magnetoelectroelastic axisymmetric cylinder coupled with a thermal field. The finite element formulation derived based on the interaction between mechanical, electrical, magnetic and thermal fields. The formulation is reduced to static case to analyze the static behavior of layered and multiphase magnetoelectroelastic axisymmetric cylinder under the circumstances of axisymmetric temperature distribution. The finite element model is developed using a four-noded axisymmetric element with four nodal degrees of freedom that is, two elastic displacements (u r , u z ) with two potentials, electric (φ) and magnetic (ψ). The static behavior of axial and radial displacements, electric potential, magnetic potential and stresses on radially symmetric magnetoelectroelastic cylinder is investigated. The numerical results are compared between layered and multiphase magnetoelectroelastic cylinder with different boundary conditions.

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BEM Formulation for 3D Static Analysis in Magnetoelectroelastic Solids

Игумнов

Markov

Lyubimov

2017

Springer Proceedings in Physics

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Green's functions for two-phase transversely isotropic magneto-electro-elastic media

Cited by 62 publications

References 23 publications

Extended displacement discontinuity method for crack analysis in three-dimensional two-phase transversely isotropic magnetoelectroelastic media

Extended displacement discontinuity method for crack analysis in three-dimensional two-phase transversely isotropic magnetoelectroelastic media

Finite element modeling of a layered, multiphase magnetoelectroelastic cylinder subjected to an axisymmetric temperature distribution

BEM Formulation for 3D Static Analysis in Magnetoelectroelastic Solids

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