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In this study, a new functional is obtained for folded plates with geometric (kinematic) anddynamic (natural) boundary conditions. This functional is the combination of two different functionals.Both functionals are obtained for thick plates which carry in-plane and lateral forces. A new mixed finiteelement is developed with 4 13 nodal parameters for folded plates (REC52). Forces and moments whichare the necessary unknowns in engineering problems are obtained directly using the technique suggestedhere. The use of the global co-ordinate system causes time consuming operations and therefore theLagrange multiplier method is used to relate the components of the parameters on the fold line.Numerical results are presented for folded plates and compared with experimental results.