The effect of longitudinal cracks on buckling loads of columns

Schnabl, Simon; Planinc, Igor

doi:10.1007/s00419-018-1426-2

Cited by 3 publications

(1 citation statement)

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“…For this reason, the classical theories of engineering mechanics can no longer be used to analyze the deformation and internal forces, and different theories have been developed in recent decades in order to be able to compute the static response of such beam components (see, e.g., [8,11,22]). A number of papers have extended these theories to include the effect of second-order theory on beams with flexibly bonded layers, such as [7,10,16,21]. It should be mentioned here only briefly that a number of papers also deal with vibrations of beams with interlayer slip (e.g., [9,12,18].…”

Section: Introductionmentioning

confidence: 99%

Moderately large deflection of slightly curved layered beams with interlayer slip

2022

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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.

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