Effect of fiber waviness on elastic moduli of fiber composites.

Abstract

The effect of fiber waviness on the elastic moduli of unidirectional fiber composites was investigated theoretically. All fibers are assumed to be laid parallel to each other and have a sinusoidal curvature. A few geometric relations were derived among the wave length, the amplitude and the fiber length of a sinusoidal shaped fiber. Then, linear elastic constitutive equations were established for two kinds of fiber arrangements: (1) the iso-phase model, and (2) the random-phase model. Finally, the Young's moduli in longitudinal and transverse directions were examined by numerical examples.

A Micromechanical Modeling Approach to the Mechanical Properties of Textile Elastomeric Composites

“…However, due to extreme complexity, there exist very limited number of micromechanical models for the non-linear stressstrain response characteristics of the textile elastomeric composites. Chou et al [1,2] proposed a sinusoidal model to locate the fiber configuration in flexible composites under deformation. Although the geometrical nonlinearity has been considered, they used a classical lamina theory to derive the overall stiffness matrix of the composite, whereas the matrix's modulus was defined with the simple James and Guth's formula [3].…”