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.
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