To evaluate the interlaminar stresses in composited laminates, a local high order lamination theory is proposed in this paper. The local displacement fields are expanded in terms of high order polynomial series through thickness within each ply. The displacement continuity constraints at the interface between layers are introduced into the potential energy functional by Lagrange multiplier method. Euler-Lagrange's equations and appropriate boundary conditions associated with the modified potential energy functional are derived. An infinite symmetric cross-ply laminate under cylindrical bending is examined to validate the credibility of the present theory.
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