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This paper presents investigations laminated plates under moderately large transverse displacements and initial instability, through the Generalized Finite Element Methods -GFEM. The von Kármán plate hypothesis are used along with Kirchhoff and Reissner-Mindlin kinematic plate bending models to approximate transverse displacements and critical buckling loads. The generalized approximation functions are either C 0 or C k continuous functions, with k being arbitrarily large. It is well known thatdoi:10.1590/1679-78255394 fatcat:oqghfxanebaalphsqg74432cg4