Page 328 - Introduction to Continuum Mechanics

312 The Elastic Solid

in thex^, x^ and jc^ plane respectively and Vy is Poisson's ratio for transverse strain in the
/-direction when stressed in the i-th direction.
The relationships between C,y and the engineering constants are given by

where

We note also that the compliance matrix is symmetric so that

Using the same procedures as in the previous sections we can establish the restrictions for the
engineering constants:

Also,

5.31 Engineering Constants for a Monoclinic Elastic Solid

For a rnonoclinic elastic solid, the symmetric stiffness matrix with thirteen independent
coefficients can be inverted to give a symmetric compliance matrix with also thirteen inde-
pendent constants. The compliance matrix for the case where the e^ plane is the plane of
symmetry can be written: