Size-dependent effective electroelastic moduli of piezoelectric nanocomposites with interface effect

Xiao, Junhua; Xu, Yuzhe; Zhang, F. C.

doi:10.1007/s00707-011-0523-x

Cited by 43 publications

(18 citation statements)

References 26 publications

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“…Similarly, in elasticity, the effective elastic moduli of a composite with spring-type interfaces decrease with the increase of the inclusion size, while the effective elastic moduli of a composite with membrane-type interfaces increase with the increase of the inclusion size (Chen et al, 2007;Duan et al, 2005b). For piezoelectricity, the size-dependent effective properties of a composite with the well-known piezoelectric membrane-type and spring-type interface have been reported in literature (Fang et al, 2009;Xiao et al, 2011). In the same way, the overall properties of a composite increase or decrease with the increase of the inclusion size according as piezoelectric membrane-type or spring-type interfaces are involved.…”

Section: Numerical Examplesmentioning

confidence: 88%

“…Duan et al (2005a,b), Xiao et al (2011)). As shown in the conduction (Duan and Karihaloo, 2007;Le-Quang et al, 2011), for a composite with Kapitza interfaces, its effective conductivity decreases with the increase of the inclusion size, while for a composites with highly conducting interfaces, its effective conductivity increases with the increase of the inclusion size.…”

Section: Numerical Examplesmentioning

confidence: 90%

“…Then, with help of the obtained results, we derive closed-form estimations for the effective properties of the composite under consideration by using the dilute distribution and Mori-Tanaka schemes. The results given in this papers include as special cases the relevant ones reported in the literature (Shodja et al, 2006;Xiao et al, 2011).…”

Section: Introductionmentioning

confidence: 91%

“…This model has been widely applied in studying the size-dependent effective piezoelectric moduli of nanocomposites (see, e.g. Xiao et al (2011)). The second one, referred as to the piezoelectric spring-type interface model, states that the displacement and the electric potential are discontinuous across an interface but the traction and the normal electric displacement are continuous across the same interface and proportional to the displacement and the electric potential jumps.…”

Section: Introductionmentioning

confidence: 99%

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Homogenization of fibrous piezoelectric composites with general imperfect interfaces under anti-plane mechanical and in-plane electrical loadings

Pensée

2015

Mechanics of Materials

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Section: Numerical Examplesmentioning

confidence: 88%

Section: Numerical Examplesmentioning

confidence: 90%

Section: Introductionmentioning

confidence: 91%

Section: Introductionmentioning

confidence: 99%

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Homogenization of fibrous piezoelectric composites with general imperfect interfaces under anti-plane mechanical and in-plane electrical loadings

Pensée

2015

Mechanics of Materials

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“…The shape of inclusions is also the main factor influencing the electromechanical properties of piezoelectric composites. The shapes of inclusions include circular shape [10,11], elliptical shape [12,13] and arbitrary shape [14].…”

mentioning

confidence: 99%

Interface energy effect on the electromechanical response of an anisotropic matrix containing piezoelectric nano-particles

2015

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An analytical model is proposed to predict the electromechanical response of anisotropic piezoelectric composites containing spherical piezoelectric nano-inclusions under a uniform electric field. The electroelastic surface/interface theory for nano-size structures is introduced to analyze the nano-size effect. The analytical solutions for the elastic displacements and electric potentials in the nano-composites are derived exactly with consideration of the elasticity, permittivity and piezoelectricity of the interface. The unknown coefficients are determined by satisfying the boundary conditions with interface effect. Numerical examples show that the elasticity, permittivity and piezoelectricity of surface/interface express different effects on the stress and electric displacement in the nano-particle and matrix. The jump of stress and electric displacement under different material properties of the interface is also examined.

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Harmonic vibrations of nanosized piezoelectric bodies with surface effects

Наседкин

Eremeyev

2013

Z Angew Math Mech

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We consider the harmonic and eigenvalue problems for piezoelectric nanodimensional bodies with account for surface stresses and surface electric charges. For harmonic problem new mathematical model is suggested, which generalizes the model of the piezoelectric medium with damping properties, boundary conditions of contact type and surface effects. The classical and generalized (weak) statements for harmonic and eigenvalue problems are formulated in the extended and reduced forms. The spectral properties of the eigenvalue problems with account for surface effects are determined. A variational minimal principle is constructed which is similar to the well‐known variational principle for problems for pure elastic and piezoelectric media. The discreteness of the spectrum and completeness of the eigenvectors are proved. As a consequence of variational principle, the properties of the natural frequencies increase or decrease are established for changing the mechanical, electric and “surface” boundary conditions and the moduli of piezoelectric body. The finite element approaches are described for determination of the natural frequencies, the resonance and antiresonance frequencies and harmonic behavior of nanosized piezoelectric bodies with account for surface effects.

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Size-dependent effective electroelastic moduli of piezoelectric nanocomposites with interface effect

Cited by 43 publications

References 26 publications

Homogenization of fibrous piezoelectric composites with general imperfect interfaces under anti-plane mechanical and in-plane electrical loadings

Homogenization of fibrous piezoelectric composites with general imperfect interfaces under anti-plane mechanical and in-plane electrical loadings

Interface energy effect on the electromechanical response of an anisotropic matrix containing piezoelectric nano-particles

Harmonic vibrations of nanosized piezoelectric bodies with surface effects

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