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306                 Meclicmics und unnlwis  of  coniposite niaterials


















                        Fig. 7.3.  A composite section of a space telescope. Courtesy of CRISM


             0  ?qb$ angle-ply carbon-poxy  external skin with the following parameters:
               @s = 20", hE  = 3.5 mm, ET  = 120 GPa,
                               =             = 0.27,
               E; = 11 GPd, qz 5.5  GPa, 19;~
                  = 1 W/m  K, 2; = 0.6 W/m K,
                I  - - -0.3  x  10   l/OC,   = 34 x  10 ' 1/"C,
             0  carbon-poxy  lattice laye;  (see Fig. 4.90) formed by a system of &4, helical ribs
               with
               4, = 26", h,  = 9 mm, 6,. = 4 mm, a,. = 52 mm, E, = 80 GPa,
               I.,  = 0.9 W/m K, E,  = -1  x  lop6 1/"C,
             0  internal skin made of aramid fabric with
               h:  = 1 mm, E:  = E: = 34 GPa, G:,  = 5.6 GPa,
               v:,   =   = 0.15,  A:  = A: = 0.13 Wjm K,
               a:  = a:  = 0.8 x  lop6 l/OC  (x  and  1'  are  the  axial  and  the  circumferential
               coordinates of the cylinder),
             0  internal layer of aluminum foil with
               hf  = 0.02 mm, Ef = 70 GPa, vf = 0.3,
               I,t  = 210 W/m K, cq = 22.3 x  10  I/OC.
             Apparent  thermal  conductivity of  the cylinder wall can  be found  with  the aid  of
             Eqs. (7.10), (7.1 1) and the continuum model of the lattice layer described in Section
             4.7 as






             Calculating  yields A.,  = 0.64 W/m K. Thermal resistance  of  a  unit  length  of  this
             structure is

                        1          K
                 rlr = - -
                                        .
                              36.8
                            =
                         Dh       Wm
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