Page 320 - Introduction to Continuum Mechanics

304 The Elastic Solid

We now show that the condition given in Eq. (ia) are automatically satisfied for every ft and
therefore do not lead to any further restrictions on CJJM whereas the conditions given in
Eq. (ib) do lead to additional restrictions, in addition to those restricted by orthotropy.
Since

therefore,

That is , CIXB — 0 is automatically satisfied together with

On the other hand, since Q& = 1, we have

This requirement leads to

That is,

=
Similarly, the equation Ci233 0 leads to [See Prob. 5.85]

Also, from Ciin^O, we obtain

i.e.,