Three-Phase Composite Cylinder for Transverse Shear Modulus

The determination of effective transverse shear modulus with concentric cylinders is quite difficult. At present, for this problem no exact solution has been presented. Hence, a different model is presented for the determination of transverse shear modulus. In this model, all cylinders except one are replaced with equivalent homogeneous material. This model is shown in Figure 7.12. In this model, the outer composite cylinder can have infinite radius. The outer cylinder represents the composite and hence, it should not affect the overall effective properties of the three cylinders. This model is called as three phase composite cylinder model or three phase model. The closed form expression for this property proposed by Christensen and Lo [10] has been presented here.