Module 7: Micromechanics
  Lecture 30: CCA Model: Effective Axial Modulus and Poisson's Ratio
 

Introduction

In this lecture we are going to determine the effective properties of a composite cylinder in terms of properties of fibre and matrix materials using CCA model. We will use the relations and concepts developed in the previous lecture for concentric cylinders.
           
In this approach the fibre is considered to be transversely isotropic and matrix is isotropic in nature. However, as a special case and whenever possible, we will derive expressions considering both fibre and matrix as isotropic materials.
           
In the present lecture we will derive the expressions for effective axial modulus and Poisson’s ratio.

The Lecture Contains

Effective Axial Modulus

Special Case: Fibre and Matrix Materials are Isotropic

Equivalence of Strain Energy Approach

Effective Axial Poisson's Ratio

Homework

References