Ultrasonic evaluation of filled polymers: I. Techniques and models for the elastic moduli of a resin filled with iron spherical inclusions

1986 ◽  
Vol 7 (5) ◽  
pp. 355-362 ◽  
Author(s):  
L. Piché ◽  
A. Hamel
Keyword(s):  
Elastic Moduli ◽  
Filled Polymers ◽  
Ultrasonic Evaluation ◽  
Spherical Inclusions

The elastic moduli of particulate-filled polymers

1984 ◽  
Vol 29 (10) ◽  
pp. 2997-3011 ◽  
Author(s):  
P. S. Theocaris ◽  
E. Sideridis
Keyword(s):  
Elastic Moduli ◽  
Filled Polymers

Four Phase Model: A New Formulation to Predict the Effective Elastic Moduli of Composites

2006 ◽  
Vol 129 (2) ◽  
pp. 313-320 ◽  
Author(s):  
El H. Barhdadi ◽  
P. Lipinski ◽  
M. Cherkaoui
Keyword(s):  
Elastic Moduli ◽  
Homogeneous Medium ◽  
Phase Model ◽  
Spherical Inclusions ◽  
Micromechanical Approach ◽  
Matrix Layer ◽  
Homogeneous Matrix ◽  
The Green Function ◽  
New Formulation ◽  
Good Agreement

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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