In this thesis the elasto-plastic, laminated, planestress finite element model for composite materialssuggested b~ Mahmoud et al. is used to anal~se the behaviorof triangular laminated plate with apex angle and skewlaminated plate. The development follows the idea of theclassical elastic laminated plate theor~, but incorporatesplastic behavior through the Prandtl-Reuss relationstogether with the Uon-Mises ~ield criteria. The modelpattern the theor~ after the classical elastic laminatedplate theor~ for composite s~stems, but extend it to includeplastic anal~sis. The anal~sis is incremental, hence themathematical model be~ond the linear elastic limit is basedupon the constitutive relations for each la~er which ispiecewise linearover eachincrement ofload.Thetheor£tical formulation of the model as well as a completealgorithm are given. First the correctness of the elementand the numerical code is insured b~ comparison with othernumerical results for single elastic la~er problem. Themodel is used next to invistigate the multila~ered s~stemsinclude the triangular laminated plates with apex angle andthe skew laminated plates. The results include elongations,X-traction and shear stress. The results provide newinsight into the ph~sics as well as the computationalaspects of the elasto-plastic multila~ered s~stems.