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This paper develops a Hamiltonian state space approach for analytic determination of deformation and stress fields in multilayered monoclinic angle-ply laminates under the combined action of extension, bending, and torsion. The present solution satisfies the equations of anisotropic elasticity, the end conditions, the traction-free boundary conditions on the four edge surfaces of the rectangular section, and the interfacial continuity conditions in multilayered laminates. The proposed method only requires the solutions of matrix and eigen equations, regardless of the number or lamination of the layers. The finite element analyses are used to validate the accuracy of the analysis. The analytical solution and the numerical solutions are in excellent agreement. [ABSTRACT FROM AUTHOR]

A Hamiltonian state space approach for analytic determination of deformation and stress fields in multilayered cross-ply symmetric laminates under extension and bending is presented, in which the equations of anisotropic elasticity, the end conditions, the traction-free boundary conditions on the bounding planes of the rectangular section, and the interfacial continuity conditions in multilayered laminates are satisfied, regardless of the number of layers. The solutions serve as useful benchmarks for numerical modeling and material characterization of composite laminates. [ABSTRACT FROM AUTHOR]