Homogenization and effective properties of periodic thermomagnetoelectroelastic composites

Bravo‐Castillero, Julián; Rodrı́guez-Ramos, Reinaldo; Mechkour, Houari; Otero, José A.; Cabanas, Joanka Hernández; Sixto, Lazaro; Guinovart-Dı́az, Raúl; Sabina, Federico J.

doi:10.2140/jomms.2009.4.819

Cited by 29 publications

(13 citation statements)

References 17 publications

(27 reference statements)

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“…Several explicit expressions have been found by Kim [6] to calculate the magnetic, electric, elastic, piezoelectric, magneto-elastic and magneto-electric effective properties. On the other hand, similar results have been obtained in [7,8]. More recently, L.M.…”

Section: Introductionsupporting

confidence: 83%

Modeling and analysis of loaded multilayered magnetoelectroelastic structures composite materials: Applications

Ajdour

Bakkali²,

Azrar³

et al. 2016

AEM

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The aim of this study is to develop a two-scale tool allowing the detailed analysis of the behavior of fiber-reinforced magneto-electro-elastic composite plates. The work is divided into two major sections. The first one deals with the homogenization of the properties of each layer based on the Mori-Tanaka mean field approach where all needed effective coefficients of each layer are determined. In the second one and in order to perform the analysis of the behavior of the obtained magneto-electro-elastic multilayered plate, the Stroh formalism is used. It allows to predict the effective behavior of such plates and the spatial distribution of the local fields along the layers.

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Section: Introductionsupporting

confidence: 83%

Modeling and analysis of loaded multilayered magnetoelectroelastic structures composite materials: Applications

Ajdour

Bakkali²,

Azrar³

et al. 2016

AEM

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show abstract

“…Such type of constitutive law can be very useful (in extended form) in the case of multiphysics homogenization problems with additional fields like magnetic or electric (see for instance Bravo-Castillero et al, 2009). The second expression of (53) is considered as a linearized representation of the local dissipation.…”

Section: Discussion About the Homogenization Frameworkmentioning

confidence: 99%

Periodic homogenization for fully coupled thermomechanical modeling of dissipative generalized standard materials

Chatzigeorgiou

Charalambakis

Chemisky

et al. 2016

International Journal of Plasticity

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The current work deals with periodic thermomechanical composite media, in which the material constituents are considered to obey the generalized standard materials laws. The aim is to provide a proper homogenization framework that takes into account both the equilibrium and the thermodynamics laws in microscale and macroscale levels. The study is based on the asymptotic expansion homogenization technique, which permits to deduce useful results about the general structure of microscale and macroscale energy potentials and constitutive laws. The paper also proposes an incremental, linearized formulation that allows to identify suitable thermomechanical tangent moduli for the macroscale problem. The capabilities of this framework are illustrated with numerical examples on multilayered composites.

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“…Aboudi (2001) developed a computational method for coupled electro-magneto-thermo-elastic composites and Lee et al (2005) have proposed numerical and Eshelby-based analytical strategies for three phase electro-magneto-elastic composites. Piezoelectric composites (Berger et al, 2005(Berger et al, , 2006Maruccio et al, 2015), electro-magneto-thermo-elastic composites (Bravo-Castillero et al, 2009) and piezoelastic plates (Kalamkarov and Kolpakov, 2001) have been studied by using the periodic homogenization theory. A homogenization approach for studying piezoelectric composites with periodic and random microstructure was proposed by Spinelli and Lopez-Pamies (2014).…”

Section: Accepted Manuscriptmentioning

confidence: 99%

Micromechanical method for effective piezoelectric properties and electromechanical fields in multi-coated long fiber composites

Chatzigeorgiou

Javili

Meraghni

2019

International Journal of Solids and Structures

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This paper proposes a micromechanical framework for identifying the macroscopic behavior of multi-coated long fiber composites, as well as the average electromechanical microscopic fields of all phases (matrix, fibers, coating layers), generated upon known macroscopic conditions. The work aims at developing a unified micromechanical approach that provides an analytical solution standing for non-coated and multi-coated long fiber composites with transversely isotropic piezoelectric behavior. The proposed method solves specific boundary value problems and utilizes the Mori-Tanaka homogenization scheme, in which the dilute strain and electric field concentration tensors are obtained analytically with the help of an extended composite cylinders method that accounts for coupled electromechanical fields. The capabilities of this homogenization strategy are illustrated with the help of numerical examples, and comparisons with known solutions from the literature for non-coated and coated fiber piezoelectric composites are provided.

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Homogenization and effective properties of periodic thermomagnetoelectroelastic composites

Cited by 29 publications

References 17 publications

Modeling and analysis of loaded multilayered magnetoelectroelastic structures composite materials: Applications

Modeling and analysis of loaded multilayered magnetoelectroelastic structures composite materials: Applications

Periodic homogenization for fully coupled thermomechanical modeling of dissipative generalized standard materials

Micromechanical method for effective piezoelectric properties and electromechanical fields in multi-coated long fiber composites

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