Piezoelectric study on confocally multicoated elliptical inclusion

Shen, M.H.; Chen, S.N.; Chen, F.M.

doi:10.1016/j.ijengsci.2005.06.004

Cited by 15 publications

(5 citation statements)

References 14 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…Under the assumption of the contribution of only three material characteristics (one of each mechanical, electromechanical, and dielectric constants), and Sudak (2003) analyzed the influence of the relative thickness of the coating on the strain and stress electrics in the cylindrical inclusion problem. By using the same three behavior constants, Shen et al (2005) determined the electric and displacement fields for each layer of a confocally multicoated piezoelectric elliptical inclusion. All the existing models quoted above treated this problem only in particular situations: isotropic behavior, much reduced mechanical and electric constants (five constants) and spherical inclusions or cylindrical assemblies.…”

Section: Introductionmentioning

confidence: 99%

Electroelastic behavior of piezoelectric composites with coated reinforcements: Micromechanical approach and applications

Dinzart

Sabar

2009

International Journal of Solids and Structures

View full text Add to dashboard Cite

a b s t r a c tIn this work, a micromechanical model for the estimate of the electroelastic behavior of the piezoelectric composites with coated reinforcements is proposed. The piezoelectric coating is considered as a thin layer with active electroelastic properties different from those of the inclusion and the matrix. The micromechanical approach based on the Green's functions technique and on the interfacial operators is designed for solving the electroelasticity inhomogeneous coated inclusion problem. The effective properties of a piezoelectric composite containing thinly coated inclusions are obtained through the Mori-Tanaka's model. Numerical investigations into electroelastic moduli responsible for the electromechanical coupling are presented as functions of the volume fraction and characteristics of the coated inclusions. Comparisons with existing analytical and numerical results are presented for cylindrical and elliptic coated inclusions.

show abstract

Section: Introductionmentioning

confidence: 99%

Electroelastic behavior of piezoelectric composites with coated reinforcements: Micromechanical approach and applications

Dinzart

Sabar

2009

International Journal of Solids and Structures

View full text Add to dashboard Cite

show abstract

“…Different micromechanical models of piezoelectric composite materials have been applied for understanding the coupling behavior between the electric and mechanic field and to predict the electroelastic effective properties (for example, Benveniste [1], Zhang et al, [2], Jiang et al, [3], Dinzart and Sabar [4], Rodríguez-Ramos et al, [5], Xu et al, [6] and Eynbeygi and Aghdam [7]). An appropriate description of the coupling phenomena produced for piezoelectric-reinforced materials is often of interest, including non-well bonded reinforcement (Wang and Pan [8], Gu et al, [9]) or coated inclusions (Shen et al, [10]; Shiah et al, [11]; Xiao et al, [12]) added in the matrix. Both cases represent interesting approximations of imperfections that occur in the contact region between the fibers and the matrix.…”

Section: Introductionmentioning

confidence: 99%

An approach for modeling three‐phase piezoelectric composites

Guinovart-Dı́az

Rodrı́guez-Ramos

Espinosa‐Almeyda

et al. 2016

Math Methods in App Sciences

View full text Add to dashboard Cite

In this work, three-phase piezoelectric fibrous composites distributed in a parallelepiped cell is studied. The statement of the mathematical problems and the formulation of the local problems by means of the asymptotic homogenization method are presented. Closed-form formulae are obtained for the effective properties of the composites for different configurations of the cells. The present method for thick and thin mesophases can provide a point of reference for comparisons with other numerical and approximate methods.

show abstract

“…It was concluded that the stresses within a multiphase elliptical inclusion are uniform provided that all interfaces consist of confocal ellipses. A novel efficient procedure to analyze the two-phase confocally elliptical inclusion embedded in an unbounded matrix under antiplane loadings was provided [8].Within the framework of linear piezoelectricity, an effective method was developed and used to derive an analytical solution for the problem of a confocally multicoated elliptical inclusion embedded in an unbounded matrix which is subjected to arbitrary electromechanical loadings [9].…”

Section: Introductionmentioning

confidence: 99%

Solution for a Crack Embedded in Multiply Confocally Elliptical Layers in Antiplane Elasticity

Chen

2015

J. mech.

View full text Add to dashboard Cite

This paper provides a general solution for a crack embedded in multiply confocally elliptical layers in antiplane elasticity. In the problem, the elastic medium is composed of an inclusion, many confocally elliptical layers and the infinite matrix with different elastic properties. In addition, the remote loading is applied at infinity. The complex variable method and the conformal mapping technique are used. On the mapping plane, the complex potentials for the inclusion and many layers are assumed in a particular form with two undetermined coefficients. The continuity conditions for the displacement and traction along the interface between two adjacent layers are formulated and studied. By enforcing those conditions along the interface, the exact relation between two sets of two undetermined coefficients in the complex potentials for j-th layer and j 1-th layer can be evaluated. From the traction free condition along the crack faces, the correct form of the complex potential for the cracked inclusion is obtained. Finally, many numerical results are provided.

show abstract

Piezoelectric study on confocally multicoated elliptical inclusion

Cited by 15 publications

References 14 publications

Electroelastic behavior of piezoelectric composites with coated reinforcements: Micromechanical approach and applications

Electroelastic behavior of piezoelectric composites with coated reinforcements: Micromechanical approach and applications

An approach for modeling three‐phase piezoelectric composites

Solution for a Crack Embedded in Multiply Confocally Elliptical Layers in Antiplane Elasticity

Contact Info

Product

Resources

About