An Analytical Solution for Curved Composite Beams with Partial Interaction

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This paper presents an analytical solution for curved composite beams that accounts for partial interaction between their layers. The governing equations are derived using the principle of minimum potential energy and the variational principle, comprehensively considering equilibrium, constitutive relations, geometric compatibility, and both tangential and radial slip deformations at the interface. Closed-form exact analytical solutions to the governing equations are subsequently derived. The accuracy of the proposed solution is validated through comparisons with existing numerical examples and finite-element method (FEM) results. This research can be applied to the rapid and accurate deformation estimation of curved composite beams.