This paper suggests, improved higher order layer wise refined theory to the investigation of flawlessly wedged sandwich and composite beams with general laminate configurations. The analysis incorporates continuity assumption of inter-laminar shear stresses, in-plane and flexural displacements between the interfaces. The inter-laminar shear stresses are also constrained with the Lagrange multiplier technique by introducing new unknown variables. The unknown variables expressed with inter-laminar strain energy; assuming the strain energy is continuous throughout the overall thickness of the beam. To govern the newly introduced and other unknown variables, the total potential energy (TPE) is minimized using variational calculus. The numerical analysis is done by MuPAD code and the result is compared with existing reliable published papers. Finally, the aforementioned approach is sufficient enough to examine sandwich and composite beam with the required accuracy.
Keywords: -Higher Order, Inter-laminar, Constraint, Strain energy