Module 7: Micromechanics
  Lecture 32: CCA Model: Effective Axial Shear Modulus
 


Here,   and  are the unknown constants. Further, it should be noted that for the axisymmetric problem the displacement in fibre must be bounded. This poses a condition that the constant  as in Equation (7.178). The continuity of the displacement components at the interface may be written as

(7.243)

Figure 7.11: Undeformed and deformed concentric cylinders under shear  

The first continuity condition of the above equation gives the relation

(7.244)

which is same as the first of Equation (7.180). The remaining two displacement continuity conditions give

(7.245)