Page 236 - Mechanics Analysis Composite Materials
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Chapter 4. Mechanics of a composite layer 22 1
where
Consider a special spatial structure (Pagan0 and Whitford, 1985) formed by the
fabric composite in which the plies reinforced at angle 4 (warp direction) with
respect to the x-axis make angles c(and B with the x-axis and the y-axis, respectively,
as in Fig. 4.97. Directional cosines for this structure are:
Z.yl = COSACOS+, lx2 = -sinIcos+,
l.r3 = -sin $, 1,.1 = sin lcos j?- cos l sin B sin 6,
I,.? =cosAcos~+sinAsinBsin+, 1,3 = -sinBcos+,
1=1 = sin Isin B +cos Icos Bsin +,
I,? =cosIsinp-sinhcos/?sin+, lz3 =cos~cos$,
where
V
X
Fig. 4.97. Orientation angles in a spatial composite structure.