1. The fact that the equations and relations of the first and subsequent approximations obtained under the geometrical non-linear statement are those of the three-dimensional linearized theory of deformable solid body, was established firstly by S.D.Akbarov, T.Sisman and N.Yahnioglu [. Akbarov, S.D., Sisman, T. and Yahnioglu, N.: On the fracture of the unidirectional composites in compression, Int J Eng Sci, 35, Nol2/13 (1997), 1115–1135.].
2. The method for determination of the values of each approximation was developed by S.D. Akbarov [. Akbarov, S.D.: On the determination of normalized non-linear mechanical properties of composite materials with periodically curved layers, Int. J. Solids and Structures, 32, No21 (1995), 3229–3143.]
3. (for three-dimensional problems) and by S.D. Akbarov and Z.R. Djamalov [. Akbarov, S.D. and Djamalov, Z.R. Influence of geometric non-linearity calculation on stress distribution in laminar composites with curved structures, Mech Comp Mater, 6 (1992), 799–812.] (for plane strain state). The numerical results were discussed in the paper by S.D. Akbarov, A.N. Guz, Z.R. Djamalov and E.A. Movsumov [42. Akbarov, S.D., Guz, A.N., Dzhamalov, Z.R. and Movsumov, E.A.: Solution of problems involving the stress of composite materials with curved layers in the geometrically non-linear statement, Int Appl Mech December (1992), 343–347.].