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


Using the definitions of stresses and displacements this equation is written as

(7.270)

The various quantities in above equation are given as

(7.271)

This expression is derived from the condition that the displacements must be bounded at . Thus, from Equation (7.256), . Thus, we can write

(7.272)

Similarly, with  in Equation (7.256), the stresses become

(7.273)

The stresses at  can be given again using Equation (7.256) as

(7.274)

Finally,  and   are evaluated at  from Equation (7.258) and are given as

(7.275)