Page 165 - Mechanics Analysis Composite Materials
P. 165

150                 Mechanics and analysis of composite materials





                                                                               (4.71)





             where the stiffness coefficients are









                                                                               (4.72)









             where


                         El.2
                 E1.2  =       ,  E12=E1~12+2G12,  C=COS~,  s=sin4  .
                       1 - VI2V21
              Dependence of stiffnesscoefficientsA,,  in Eqs. (4.72) on 4 was studied by S.W. Tsai
              and N.J.  Pagano (see, e.g., Tsai, 1987; Verchery, 1999). Changing powers of sin 4
              and cos 4 in Eqs. (4.72) for multiple-angle trigonometric functions we can reduce
              these equations to the following form (Verchery, 1999):








                                                                                (4.73)
   160   161   162   163   164   165   166   167   168   169   170