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This contribution addresses moderately large deflections of a slightly precurved simply supported beam composed of three layers symmetrically disposed about the central axis. The elastic beam layers are flexibly bonded and thus exposed to interlayer slip. Since the displacements of the supports are fully restrained, the static response is geometrically nonlinear. The results of an application example demonstrates the grave effect of interlayer slip on the nonlinear deflection of slightly precurved layered beams.

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This paper presents a beam theory for analyzing the static response of slightly curved three-layer beams with interlayer slip. Since the beams are supposed to be immovably supported, membrane stresses develop even at moderately large deflections and the response becomes geometrically nonlinear. The theory is based on a layerwise application of the Euler–Bernoulli theory and a linear elastic constitutive law for the interlaminar displacements. In three application examples, the accuracy of this theory is shown by comparing the results of this theory with the outcomes of a more complex finite element analysis assuming a plane stress state. These application examples demonstrate the effect of a small initial deflection on the nonlinear response of the considered layered structural members.