A transversely isotropic material with an x3-axis of symmetry was specified by the elasticity matrix given in Eq. (11.2.12). Under an arbitrary q rotation about the x₃-axis given by relation (11.2.11), all components of this elasticity matrix should remain the same.
Explicitly show this property for the 55 and 22 components of the C matrix. Use the translation relation (11.1.6) and the given structure of the C matrix such as C16 = C1112 = 0, C44 = C55.

Equation 11.2.12

Equation 11.2.11

Equation 11.16

Transcribed Image Text:

Cij [C11 C12 C13 0 C11C13 0 C33 0 C44 0 0 0 0 C44 0 0 0 0 0 (C11-C12)/2