Using the invariance property of strain energy density function, show that:
and
Using the relation between and as given in Equation (4.24) and in terms of engineering constants, show that are as given in Equation (4.29).
Write the compliance coefficients in Equation (4.45) in terms of engineering constants.
Using Equation (4.24) in Equation (4.42) obtain the individual terms of in terms of .
For fibre orientation and obtain matrix for materials given in Table 3.1.
The matrix for a composite with fibre orientation of is given as
Find all engineering constants for this material.
Write a computer code to calculate reduced transformed stiffness and compliance matrix for any angle of fibre orientation with respect to global coordinate system.
Extend the code written for the above problem to plot the variation of terms for orientation of fibres between . Plot the variation for materials given in Table 3.1.
Write a computer code to plot the variation of thermal and hygroscopic expansion coefficients with fibre orientation between for T300/5208 composite.
and 
and 
as given in Equation (4.24) and 
in terms of 
and 
obtain 
matrix for materials given in Table 3.1.
is given as
. Plot the variation for materials given in Table 3.1.
