Application of generalized self-consistent method to predict effective elastic properties of bristled fiber composites

2014 ◽  
Vol 61 ◽  
pp. 26-40 ◽  
Author(s):  
S. Lurie ◽  
M. Minhat
Keyword(s):  
Elastic Properties ◽  
Fiber Composites ◽  
Effective Elastic Properties ◽  
Self Consistent ◽  
Consistent Method

Effective Medium of Unidirectional Short-Fiber Composites by a Self-Consistent Method

1987 ◽  
Vol 109 (1) ◽  
pp. 64-66
Author(s):  
Seiichi Nomura
Keyword(s):  
Fiber Composite ◽  
Homogeneous Medium ◽  
Fiber Composites ◽  
Short Fiber ◽  
Effective Medium ◽  
Matrix Phase ◽  
Effective Stiffness ◽  
Self Consistent ◽  
The Matrix ◽  
Consistent Method

A new self-consistent method is proposed to calculate the effective stiffness of unidirectional short-fiber composites where each transversely-isotropic short-fibers is embedded in an infinite homogeneous matrix phase. The equilibrium equation for the elastic field in short-fiber composite materials is converted into an integro-differential equation using the Green’s function for a homogeneous medium. The “effective medium” is chosen in such a way that the ensemble averaged strain field for the composite is equal to that of the homogeneous medium that exhibits the same overall response as the composite. The “effective stiffness” and the “effective mass density” are defined as those properties of the effective medium. The obtained expression for the effective stiffness is new and is not symmetrical with the matrix phase and the fiber phase, thus, reflecting the matrix role more properly than previous works which gave symmetrical results. The result is also favorably compared with experimental data.

On the Mechanical Behavior of the Orthotropic Cord-Rubber Composite

1976 ◽  
Vol 4 (4) ◽  
pp. 219-232 ◽  
Author(s):  
Ö. Pósfalvi
Keyword(s):  
Mechanical Behavior ◽  
Uniaxial Tension ◽  
Elastic Properties ◽  
Large Deformations ◽  
Virtual Work ◽  
Poisson's Ratio ◽  
Principle Of Virtual Work ◽  
Effective Elastic Properties ◽  
Rubber Composite ◽  
Mooney Equation

Abstract The effective elastic properties of the cord-rubber composite are deduced from the principle of virtual work. Such a composite must be compliant in the noncord directions and therefore undergo large deformations. The Rivlin-Mooney equation is used to derive the effective Poisson's ratio and Young's modulus of the composite and as a basis for their measurement in uniaxial tension.

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