Module 7: Micromechanics
  Lecture 33: Three Phase CCA Model: Effective Transverse Shear Modulus
 


In a similar way, we can derive the displacement field in matrix phase. It is given as

(7.259)

The displacement in fibre phase is given as

(7.260)

where,

and
(7.261)

There are eight unknowns to be determined. These are  and . Now, we need to develop eight equations in these unknowns to solve for these unknowns. These equations can be developed using the continuity of displacements and stress at the fibre and matrix interface and that between the matrix and the equivalent homogeneous material.