A piezoelectric medium containing a cylindrical inhomogeneity: Role of electric capacitors and mechanical imperfections

Shodja, H.M.; Tabatabaei, Seyed Mahmoud; Kamali, M.T.

doi:10.1016/j.ijsolstr.2007.02.029

Cited by 28 publications

(31 citation statements)

References 14 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…The coefficients (26) and (27) represent the effective axial coefficients of a reinforced three-phase composite with nonuniform mesophase S I . The analytical expressions of the effective properties (26) and (27) are functions of the properties and volume fractions of constituents of a composite with periodic cell w 1 , w 2 .…”

Section: Effective Properties For Three-phase Composites Under Nonunimentioning

confidence: 99%

Analysis of fibrous elastic composites with nonuniform imperfect adhesion

et al. 2015

View full text Add to dashboard Cite

In most composites, the fiber-matrix adhesion is imperfect; the continuity conditions for stresses and displacements are not satisfied. In this contribution, effective elastic moduli are obtained by means of the asymptotic homogenization method (AHM), for three-phase fibrous composites (matrix/mesophase/fiber) with parallelogram periodic cell. Interaction between fiber and matrix is considered, and this is called the mesophase model where the nonuniform mesophase is studied. Besides, there is another type of 1 matrix-fiber contact which is called nonuniform spring imperfect contact. In this case, the contrast or jump of the displacements in the boundary of each phase is proportional to the corresponding component of the tension in the interface in terms of a parameter given by a certain function that depends on the position. The constituents of the composites exhibit transversely isotropic properties. A doubly periodic parallelogram array of cylindrical inclusions under longitudinal shear is considered. The three-phase model is validated by the Finite Element Method and the AHM both approaches applied to two-phase composites with nonuniform spring imperfect contact. Comparisons with theoretical and experimental results verified that the present model is efficient for the analysis of composites with presence of nonuniform imperfect interface and parallelogram cell. The effect of the nonuniform imperfection on the shear effective property is observed. The present method can provide benchmark results for other numerical and approximate methods.

show abstract

Section: Effective Properties For Three-phase Composites Under Nonunimentioning

confidence: 99%

Analysis of fibrous elastic composites with nonuniform imperfect adhesion

et al. 2015

View full text Add to dashboard Cite

show abstract

“…This approach has been employed in some articles. [9][10][11][12] It is noteworthy to mention that the interface failure in the realm of elastic materials occurs in the form of normal debonding, inplane sliding, out-of-plane sliding or any combination of these types. In other words, imperfection takes place only in the form of displacement discontinuities.…”

Section: Introductionmentioning

confidence: 99%

Characterization of piezoelectric composites with mechanical and electrical imperfect contacts

Rodrı́guez-Ramos

Guinovart-Dı́az

López-Realpozo

et al. 2015

Journal of Composite Materials

View full text Add to dashboard Cite

The aim of the present work is to study the influence of the mechanical and electrical imperfections in reinforced piezoelectric composite materials with unidirectional cylindrical fibers periodically distributed in rhombic cells under mechanical and electrical imperfect contacts. The behavior of the composites is studied through two approaches: the two-scale asymptotic homogenization method and the finite element method. The asymptotic homogenization method is applied to a two-phase composite with mechanical and electrical imperfect contacts and to a three-phase composite with perfect contact in the interphase. The constituents of the composite are homogeneous piezoelectric materials with transversely isotropic properties. The local problems are formulated for the spring-capacitor and three-phase models by the asymptotic homogenization method. The solution of each plane local problem is found using potential methods of a complex variable and the properties of doubly periodic Weierstrass elliptic functions. Closed-form formulae are obtained for the effective properties of the composites with both types of imperfect contacts and different configuration of the cells. The finite element method is implemented for analysis of piezoelectric composite materials with unidirectional cylindrical fibers periodically distributed in rhombic cells under mechanical and electrical imperfect contacts. Some numerical examples are given under the presence of both imperfect contacts and different arrangement of the cells. Comparisons between the numerical results reported by asymptotic homogenization method and finite element method are provided.

show abstract

“…More recently, the propagation of shear horizontal waves between the interface of two piezoelectric material with an electro-mechanical imperfect contact has been studied by Otero et al [10]. Here, the mechanical and electrical imperfections have been modelled by means of a spring and capacitor ( [11]), respectively, where the imperfect interface affects the interfacial wave.…”

mentioning

confidence: 99%

“…The presence of magnetical [12], electrical [11] and mechanical imperfections are modelled by means of an inductor, a capacitor and a spring, respectively. The capacitance (inductance) of the capacitor (inductor) is a measure of the electrical (magnetical) imperfection.…”

mentioning

confidence: 99%

See 1 more Smart Citation

Interfacial waves between piezoelectric and piezomagnetic half-spaces with magneto-electro-mechanical imperfect interface

Otero¹,

Rodrı́guez-Ramos²,

Monsiváis³

et al. 2013

Philosophical Magazine Letters

View full text Add to dashboard Cite

International audienceWe study the propagation of shear horizontal waves between the interface of piezoelectric and piezomagnetic half-spaces with a magneto-electro-mechanical imperfect contact. Mechanical, electrical and magnetical imperfections are modelled by means of a spring, a capacitor and a inductor, respectively. A general expression for the dispersion relation not reported previously in literature is given in an explicit form, with the diverse limit cases analysed in detail. In some of these limit cases, new expressions are also obtained which predict the existence of interfacial waves. In the other cases, when already reported results exist, a comparison with them is done. Some physical interpretations are derived from the limit cases. The influence of mechanical, electrical and magnetical imperfect contacts are shown in some numerical examples

show abstract

A piezoelectric medium containing a cylindrical inhomogeneity: Role of electric capacitors and mechanical imperfections

Cited by 28 publications

References 14 publications

Analysis of fibrous elastic composites with nonuniform imperfect adhesion

Analysis of fibrous elastic composites with nonuniform imperfect adhesion

Characterization of piezoelectric composites with mechanical and electrical imperfect contacts

Interfacial waves between piezoelectric and piezomagnetic half-spaces with magneto-electro-mechanical imperfect interface

Contact Info

Product

Resources

About