Asymptotic homogenization of laminated piezocomposite materials

Castillero, Julián Bravo; Otero, José A.; Ramos, Reinaldo Rodríguez; Bourgeat, Alain

doi:10.1016/s0020-7683(97)00028-0

Cited by 72 publications

(41 citation statements)

References 13 publications

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“…The formulae obtained generalize those that appear in [Castillero et al 1998] and in [Galka et al 1996], where piezoelectric and thermopiezoelectric periodic composites, respectively, were studied. Here a general formula is presented in a unified way which is more adequate for computational implementation.…”

Section: Introductionsupporting

confidence: 76%

Homogenization and effective properties of periodic thermomagnetoelectroelastic composites

Bravo‐Castillero

Rodrı́guez-Ramos

Mechkour

et al. 2009

JOMMS

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Using asymptotic homogenization, we derive the local problems and the corresponding homogenized coefficients of periodic thermomagnetoelectroelastic heterogeneous media. The theory is applied to obtain analytical expressions for all effective properties of an important class of periodic multilaminated composites. Universal relations involving homogenized thermal coefficients of two-phase laminated and fibrous piezoelectric/piezomagnetic periodic composites, with transversely isotropic constituents, are obtained. Theoretical evidence is shown for the existence of pyroelectric and pyromagnetic effects even if neither phase exhibits them. Numerical calculations and comparisons with others theories are included.

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Section: Introductionsupporting

confidence: 76%

Homogenization and effective properties of periodic thermomagnetoelectroelastic composites

Bravo‐Castillero

Rodrı́guez-Ramos

Mechkour

et al. 2009

JOMMS

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“…(A8) with the discrete sum averages replaced by the corresponding continuous integrals in Eq. (17), and h p and h m are the thicknesses of the piezoelectric and piezomagnetic layers. Expressions for the pyroelectric and pyromagnetic coefficients can be obtained in a similar way.…”

Section: Product Properties Of Functionally Graded Multilayersmentioning

confidence: 99%

“…Bichurin et al [14,15] proposed a two-stage approach in which the effective magnetoelectric coefficient is derived from appropriate continuity conditions at interfaces and applied-field boundary conditions. Bravo-Castillero et al [16] applied the asymptotic homogenization method to laminate METE composites by extending their earlier model for laminate piezoelectric composites [17]. Kim et al [18] and Kim [19] analyzed multilayered composites with various coupled physical effects using a matrix method that has been developed earlier for purely elastic multilayers [20].…”

Section: Introductionmentioning

confidence: 99%

“…Wang et al [21] analyzed the effects of property gradation in layers on the magnetoelectric coefficient of a multilayer composite. As compared to other micromechanical models [12,13,16,17], the method [18][19][20] based on the reassembled constitutive matrix is much simpler and straightforward and can provide the exact effective properties while still being able to handle a multilayer composite with an arbitrary number of generally anisotropic layers. For this reason, this method is highly suitable to be used not only for analyzing the effective properties but also for optimizing parameters in the design of METE multilayer composites.…”

Section: Introductionmentioning

confidence: 99%

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Pyroelectric and pyromagnetic coefficients of functionally graded multilayered multiferroic composites

Kim

Baltazar

2012

Acta Mech

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This paper presents a method for analyzing some product properties of functionally graded magnetoelectro-thermoelastic (METE) multilayer composites. The method is based on an exact matrix formulation for the effective properties of multilayer composites with various coupled physical effects including piezoelectricity, piezomagnetism, and thermoelasticity. Analytical expressions are derived for the effective properties of a functionally graded transversely isotropic METE multilayer composite. The effects of functional gradation on the pyroelectric and pyromagnetic coefficients are numerically evaluated. It is shown that both the pyroelectric and pyromagnetic coefficients can be significantly enhanced (more than two times) by functional gradation, and the relative volume fractions at which these coefficients are maximized tend to extreme values. It is thus demonstrated that the present method can be used in the design of multilayered METE composites for the purpose of achieving a maximum energy conversion or transduction capability.

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“…The main problem of the AHM is that averaged coefficients depend on the solutions of the so-called local problems in the periodic cell. [4] These problems are given by a set of partial differential equations with periodic boundary conditions, and their solution, in general, requires numerical methods. [5] On the other hand, homogenization theories have also been developed for heterogeneous media in which the phases are randomly distributed.…”

Section: Introductionmentioning

confidence: 99%

Prediction of properties of Al2O3-C refractory based on microstructure by an improved generalized self-consistent scheme

Wang

Kong

et al. 2005

Metall Mater Trans B

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An improved generalized self-consistent scheme (GSCS), which has a simplified computation process, was proposed to predict the properties, based on microstructure, of multiphase materials. The results of the prediction of the elastic modulus, Poisson's ratio, coefficient of thermal expansion, and coefficient of thermal conductivity of an Al 2 O 3 -C refractory using a multiscale homogenization method with this improved GSCS agree with the experimental results. It is found that understanding the microstructure and choosing a suitable matrix for the prediction are very important for prediction accuracy.

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Asymptotic homogenization of laminated piezocomposite materials

Cited by 72 publications

References 13 publications

Homogenization and effective properties of periodic thermomagnetoelectroelastic composites

Homogenization and effective properties of periodic thermomagnetoelectroelastic composites

Pyroelectric and pyromagnetic coefficients of functionally graded multilayered multiferroic composites

Prediction of properties of Al2O3-C refractory based on microstructure by an improved generalized self-consistent scheme

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