Page 282 - Mechanics Analysis Composite Materials

Chapter 5. Mechanics of laminates 261

23t

0 0.04 0.08 0.12 0.16 0.2
Fig. 5.26. Distribution of normalized transverse shear stress ?,-= = r,\!jRh/P and normal stress
8: = uL')Rh/P acting on the layers interface (z = hl) along the cylinder axis.

As can be seen, the first equation in Eqs. (5.87) follows from this solution if x + 00.
Distribution of shear stress 72:' (z = hl) and normal stress (z = hl) acting at the
interface between the angle-ply and the hoop layer of the cylinder along its length is
shown in Fig. 5.26.
Consider now the problem of torsion (see Fig. 5.19). Constitutive equations in
Eqs. (5.74) that we need to use for this problem are

Taking coordinate of the reference surface in accordance with Eq. (5.65), i.e..

(5.111)

we get C44 = 0 and M44 = 0. For the cylinder under study, e = 0.46 mm, i.e., the
reference surface is within the angle-ply layer. Free-body diagram for the cylinder
loaded with torque T,(see Figs. 5.19 and 5.27) yields

Fig. 5.27. Forces and moments acting on an element of the cylinder under torsion.