Axial Shear Modulus of A Fiber-Reinforced Composite with Random Fiber Cross-Sections
Author
Bose, S.K; Debnath, L
Abstract
A study is made of the effective axial shear modulus of a fiber reinforced material with random fiber cross-sections so that the micromechanics is governed by stochastic differential equations. A coarse-graining procedure is adopted to investigate the macroscopic behavior of the material. This analysis leads to the formula for the effective axial shear modulus μ∗=μ1/{1−2c(μ2−μ1)/(μ2+μ1)},where μ1 and μ2 are the shear modulus of the matrix and fibers respectively and c is the concentration of the fibers less that 0.5. For c>0.5, the fiber and matrix moduli are to be interchanged and c is to be replaced by 1−c. The results of this study are compared with those of the theory of fibre reinforced materials. Finally, a numerical example is presented with graphical representation.
Date
1981-04-14
Citation:
APA:
Bose, S.K, & Debnath, L. (April 1981).
Axial Shear Modulus of A Fiber-Reinforced Composite with Random Fiber Cross-Sections.
,
(),
-
. Retrieved from
http://hdl.handle.net/10342/8849
MLA:
Bose, S.K, and Debnath, L.
"Axial Shear Modulus of A Fiber-Reinforced Composite with Random Fiber Cross-Sections". .
. (),
April 1981.
September 21, 2023.
http://hdl.handle.net/10342/8849.
Chicago:
Bose, S.K and Debnath, L,
"Axial Shear Modulus of A Fiber-Reinforced Composite with Random Fiber Cross-Sections," , no.
(April 1981),
http://hdl.handle.net/10342/8849 (accessed
September 21, 2023).
AMA:
Bose, S.K, Debnath, L.
Axial Shear Modulus of A Fiber-Reinforced Composite with Random Fiber Cross-Sections. .
April 1981;
():
.
http://hdl.handle.net/10342/8849. Accessed
September 21, 2023.
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