We consider a linearly elastic composite medium, which consists of a homogeneous matrix containing coated spherical inclusions. The composite is modeled by a four phase pattern consisting of inclusion, interphase, matrix layer, and equivalent homogeneous medium. The overall elastic moduli are obtained using a micromechanical approach based on the Green function techniques and the interfacial operators. The four phase model assumes that all constituents are elastic and perfectly bonded. The model is used to derive the effective elastic properties of representative volume element using classical averaging schemes assuming the isotropy of constituent. Finally, effect of the thickness and stiffness of interphase on the global behavior of real composite materials are examined. Comparisons with experimental results show a good agreement.
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e-mail: e.barhdadi@enim.fr
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April 2007
Technical Papers
Four Phase Model: A New Formulation to Predict the Effective Elastic Moduli of Composites
El H. Barhdadi,
El H. Barhdadi
Laboratoire de Physique et Mécanique des Matériaux,
e-mail: e.barhdadi@enim.fr
Ecole Nationale d’Ingénieurs de Metz
, Ile du Saulcy, 57045 Metz, France
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P. Lipinski,
P. Lipinski
Laboratoire de Physique et Mécanique des Matériaux,
Ecole Nationale d’Ingénieurs de Metz
, Ile du Saulcy, 57045 Metz, France
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M. Cherkaoui
M. Cherkaoui
School of Mechanical Engineering,
Georgia Institute of Technology
, Atlanta, GA 30332-0405
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El H. Barhdadi
Laboratoire de Physique et Mécanique des Matériaux,
Ecole Nationale d’Ingénieurs de Metz
, Ile du Saulcy, 57045 Metz, Francee-mail: e.barhdadi@enim.fr
P. Lipinski
Laboratoire de Physique et Mécanique des Matériaux,
Ecole Nationale d’Ingénieurs de Metz
, Ile du Saulcy, 57045 Metz, France
M. Cherkaoui
School of Mechanical Engineering,
Georgia Institute of Technology
, Atlanta, GA 30332-0405J. Eng. Mater. Technol. Apr 2007, 129(2): 313-320 (8 pages)
Published Online: November 24, 2006
Article history
Received:
March 23, 2006
Revised:
November 24, 2006
Citation
Barhdadi, E. H., Lipinski, P., and Cherkaoui, M. (November 24, 2006). "Four Phase Model: A New Formulation to Predict the Effective Elastic Moduli of Composites." ASME. J. Eng. Mater. Technol. April 2007; 129(2): 313–320. https://doi.org/10.1115/1.2712472
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