Page 164 - Mechanics Analysis Composite Materials
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Chapter 4.  Mechanics of  a composite layer     149





                                                                              (4.67)





            The inverse form of these equations is:






                                                                             (4.68)





           The corresponding transformation  for strains follows from Eqs. (2.21) and (2.27),
           ].e.,






                                                                             (4.69)






           or






                                                                             (4.70)





           To  derive  constitutive  equations  for  an  anisotropic  unidirectional  layer,  we
           substitute  strains,  Eqs. (4.69),  into  Hooke's  law,  Eqs. (4.56), and  thus  obtained
           stresses - into Eqs. (4.68). The final result is as follows:
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