Author | Bose, S.K | |
Author | Debnath, L | |
Date Accessioned | 2021-02-01T15:13:09Z | |
Date Available | 2021-02-01T15:13:09Z | |
Date of Issue | 1981-04-14 | |
Identifier (URI) | http://hdl.handle.net/10342/8849 | |
Description | 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. | en_US |
Language | en_US | en_US |
Related URI | https://www.hindawi.com/journals/ijmms/1982/471593/ | en_US |
Subject | Fiber, axial shear, shear modules, matrix moduli, reinforced materials | en_US |
Title | Axial Shear Modulus of A Fiber-Reinforced Composite with Random Fiber Cross-Sections | en_US |
Type | Article | en_US |
Identifier (DOI) | 10.1155/S0161171282000386 | |
Journal Name | International Journal of Mathematics and Mathematical Sciences | en_US |
Journal Volume | 5 | en_US |
Journal Issue | 2 | en_US |
Article Pages | 393-401 | en_US |