Axial shear modulus of a fiber-reinforced composite with random fiber cross-sections

International Journal of Mathematics and Mathematical Sciences

S. K. Bose¹  L. Debnath² 

[1] Department of Mathematics, Regional Engineering College, Durgapur 713209, India;Mathematics and Physics Departments, East Carolina University, Greenville, North Carolina 27834, USA;

关键词: axial shear modulus;    fiber-reinforced composites;    random distributions;    random cross-sections;    coarse-graining;    bounds on moduli.;   

DOI  :  10.1155/S0161171282000386

来源: DOAJ

【 摘 要 】

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.

【 授权许可】

Unknown