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    Axial Shear Modulus of A Fiber-Reinforced Composite with Random Fiber Cross-Sections

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    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.
    URI
    http://hdl.handle.net/10342/8849
    Subject
    Fiber, axial shear, shear modules, matrix moduli, reinforced materials
    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. International Journal of Mathematics and Mathematical Sciences, (5:2), p.393-401. Retrieved from http://hdl.handle.net/10342/8849

    Display/Hide MLA, Chicago and APA citation formats.

    MLA:
    Bose, S.K, and Debnath, L. "Axial Shear Modulus of A Fiber-Reinforced Composite with Random Fiber Cross-Sections". International Journal of Mathematics and Mathematical Sciences. 5:2. (393-401.), April 1981. August 10, 2022. 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," International Journal of Mathematics and Mathematical Sciences 5, no. 2 (April 1981), http://hdl.handle.net/10342/8849 (accessed August 10, 2022).
    AMA:
    Bose, S.K, Debnath, L. Axial Shear Modulus of A Fiber-Reinforced Composite with Random Fiber Cross-Sections. International Journal of Mathematics and Mathematical Sciences. April 1981; 5(2) 393-401. http://hdl.handle.net/10342/8849. Accessed August 10, 2022.
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