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The present paper utilizes the non-oscillatory nature of higher-order NURBS basis as shape functions and their derivatives to compute interlaminar normal stress in composite and sandwich beams, accurately and efficiently. This avoids the extra step in postprocessing generally required in regular finite element formulation. Element-Free Galerkin formulation is derived for the first-order shear-deformable composite and sandwich beams and is adaptive in nature. The displacement and its higher derivatives are computed and compared with the analytical-exact solution. It is seen that the NURBSa shear-deformable beam is more efficient than the higher order B-Spline beam (HOBS). The interlaminar normal stress play an important role in through-the-thickness failure in composite and thus, require its accurate calculation, which necessitates the accurate calculation of second order derivative of displacement …