A new trigonometric layerwise shear deformation theory for the finite element analysis of laminated composite and sandwich plates

► A layerwise finite element formulation of a new higher-order shear deformation theory is presented. ► The theory accounts for non-linear variation of in-plane and transverse displacement through the thickness. ► The theory also accounts for adequate transverse shear deformation. ► The theory satisfies transverse shear traction free conditions on the top and the bottom surfaces. ► The accuracy of the present code is ascertained by comparing it with available results in the literature.