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Research Papers

Multiphase Differential Scheme for Effective Properties of Magnetoelectroelastic Composite Materials

[+] Author and Article Information
Bakkali Abderrahmane

Department of Physics,
Faculty of Sciences of Tetouan,
Abdelmalek Essaâdi University,
Tetouan 93002, Morocco
e-mail: bakkali.abdel@gmail.com

Azrar Lahcen

Laboratory LaMIPI,
Higher School of Technical Education
of Rabat (ENSET),
Mohammed V University,
Rabat, Morocco;
Department of Mechanical Engineering,
Faculty of Engineering,
King Abdulaziz University,
Jeddah 21589, Saudi Arabia
e-mails: azrarlahcen@yahoo.fr;
l.azrar@umss.net.ma

Abdulmalik Ali Aljinaidi

Department of Mechanical Engineering,
Faculty of Engineering,
King Abdulaziz University,
Jeddah 21589, Saudi Arabia
e-mail: aljinaidi@kau.edu.sa

1Corresponding author.

Contributed by the Materials Division of ASME for publication in the JOURNAL OF ENGINEERING MATERIALS AND TECHNOLOGY. Manuscript received October 27, 2015; final manuscript received August 28, 2016; published online October 20, 2016. Assoc. Editor: Said Ahzi.

J. Eng. Mater. Technol 139(1), 011004 (Oct 20, 2016) (9 pages) Paper No: MATS-15-1270; doi: 10.1115/1.4034752 History: Received October 27, 2015; Revised August 28, 2016

The differential scheme is extended to predict the effective properties of multiphase magnetoelectroelastic composite materials. The prediction of effective properties is done gradually by adding a series of incremental additions of a small volume of particulate phase materials to an initial material (matrix phase). The construction process is compatible with high volume concentration of inclusion. A system of coupled differential equations is formulated and its numerical solution leads to effective properties of reinforced magnetoelectroelastic composites. For the numerical results, two-phase and three-phase magnetoelectroelastic composites are considered. The effective properties are presented as function of volume fractions and shapes of inclusions and compared with predictions based on the Mori–Tanaka and incremental self-consistent models.

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References

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Figures

Grahic Jump Location
Fig. 7

Effective magnetoelectric modulus α11 for a three-phase composite epoxy/BaTiO3/ CoFe2O4 predicted by the DS, ISC, and Mori–Tanaka models with the volume fraction of the matrix fixed at 60%

Grahic Jump Location
Fig. 8

Effective magnetoelectric moduli α33 (Fig. 8(a)) and α11 (Fig. 8(b)) for a three-phase composite epoxy/BaTiO3/ CoFe2O4 predicted by the DS with respect to aspect ratio c/a of reinforcements for fixed volume fraction of the matrix at 60%, of the piezoelectric at 20% and piezomagnetic at 20%

Grahic Jump Location
Fig. 9

Effective magnetoelectric moduli α11 for a three-phase composite epoxy/BaTiO3/CoFe2O4 predicted by the DS with the volume fraction of the matrix fixed at 80% and 10% of the piezoelectric and 10% piezomagnetic phase

Grahic Jump Location
Fig. 10

Effective magnetoelectric moduli α33 for a three-phase composite epoxy/BaTiO3/CoFe2O4 predicted by the DS with the volume fraction of the matrix fixed at 80% and 10% of the piezoelectric and 10% piezomagnetic phase

Grahic Jump Location
Fig. 11

Effective moduli h33 and α33 for a fibrous three-phase composite CoFe2O4/BaTiO3/void predicted by the DS, ISC, and Mori–Tanaka models with the volume fraction of the matrix fixed at 60%

Grahic Jump Location
Fig. 1

Effective magnetoelectric modulus α33 for a two-phase composite BaTiO3/CoFe2O4 predicted by the DS, ISC, and Mori–Tanaka models. (a = b, c/a = 1 for spherical composites; a = b, c/a = 10 for ellipsoidal composites; a = b, c/a = 1000 for fibrous composites; and a = b = 1000, c = 1 for laminated composites)

Grahic Jump Location
Fig. 2

Effective magnetoelectric modulus α11 for a two-phase composite BaTiO3/CoFe2O4 predicted by the DS, ISC, and Mori–Tanaka models

Grahic Jump Location
Fig. 3

Effective piezoelectric modulus e33 for a two-phase composite BaTiO3/CoFe2O4 predicted by the DS, ISC, and Mori–Tanaka models

Grahic Jump Location
Fig. 4

Effective piezomagnetic modulus h33 for a two-phase spherical porous composite void/CoFe2O4 predicted by the DS, ISC, and Mori–Tanaka models

Grahic Jump Location
Fig. 5

Effective magnetoelectric modulus α33 for a three-phase composite epoxy/BaTiO3/CoFe2O4 predicted by the DS, ISC, and Mori-Tanaka models with the volume fraction of the matrix fixed at 60%

Grahic Jump Location
Fig. 6

Effective magnetoelectric modulus α11 for a laminated three-phase composite epoxy/BaTiO3/CoFe2O4 predicted by the DS, ISC, and Mori–Tanaka models with the volume fraction of the matrix fixed at 60%

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