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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January 2017
Research-Article
Multiphase Differential Scheme for Effective Properties of Magnetoelectroelastic Composite Materials
Bakkali Abderrahmane,
Bakkali Abderrahmane
Department of Physics,
Faculty of Sciences of Tetouan,
Abdelmalek Essaâdi University,
Tetouan 93002, Morocco
e-mail: bakkali.abdel@gmail.com
Faculty of Sciences of Tetouan,
Abdelmalek Essaâdi University,
Tetouan 93002, Morocco
e-mail: bakkali.abdel@gmail.com
Search for other works by this author on:
Azrar Lahcen,
Azrar Lahcen
Laboratory LaMIPI,
Higher School of Technical Education
of Rabat (ENSET),
Mohammed V University,
Rabat, Morocco;
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
Faculty of Engineering,
King Abdulaziz University,
Jeddah 21589, Saudi Arabia
e-mails: azrarlahcen@yahoo.fr;
l.azrar@umss.net.ma
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Abdulmalik Ali Aljinaidi
Abdulmalik Ali Aljinaidi
Department of Mechanical Engineering,
Faculty of Engineering,
King Abdulaziz University,
Jeddah 21589, Saudi Arabia
e-mail: aljinaidi@kau.edu.sa
Faculty of Engineering,
King Abdulaziz University,
Jeddah 21589, Saudi Arabia
e-mail: aljinaidi@kau.edu.sa
Search for other works by this author on:
Bakkali Abderrahmane
Department of Physics,
Faculty of Sciences of Tetouan,
Abdelmalek Essaâdi University,
Tetouan 93002, Morocco
e-mail: bakkali.abdel@gmail.com
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;
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
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
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. Jan 2017, 139(1): 011004 (9 pages)
Published Online: October 20, 2016
Article history
Received:
October 27, 2015
Revised:
August 28, 2016
Citation
Abderrahmane, B., Lahcen, A., and Ali Aljinaidi, A. (October 20, 2016). "Multiphase Differential Scheme for Effective Properties of Magnetoelectroelastic Composite Materials." ASME. J. Eng. Mater. Technol. January 2017; 139(1): 011004. https://doi.org/10.1115/1.4034752
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