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312 Mechanics and analysis of composite rnaierials
(7.24)
Temperature terms entering Eqs. (7.23) have the following form
-e -e
where A:,, are specified by Eqs. (7.18). Performing transformation that was used in
Section 5.1 to reduce Eqs. (5.6), (5.7), and (5.8) to Eqs. (5.28) and (5.29)we get
where (see Fig. 5.8)
i
J,$:= A;f;,t‘dt , (7.26)
0
where r = 0, 1 and mn = 11, 12, 22.
For a laminate, the temperature governed by Eq. (7.6) is linearly distributed
through the layers thicknesses (see Fig. 7.1). The same law can be, obviously,
assumed for the temperature coefficients in Eqs. (7.18). i.e., for the ith layer in
Fig. 5.10
where (A:n)i-, =~I;f;,~(tti-l) and =A;f;,(t= ti). Then, Eq. (7.26) acquires
=
the form
If the temperature variation over the thickness of the ith layer can be neglected, we
can introduce some average value
and present Eq. (7.26) as
