Abstract
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.
Highlights
The structural members of many engineered constructions are composed of several layers of different materials to obtain an optimal result in terms of weight, stiffness, strength, cost or appearance, etc
The influence of a small initial deflection on the static response of composite beams with interlayer slip is discussed in three application examples, and the accuracy of the presented theory is demonstrated by the results of a comparative finite element analysis assuming a plane stress state
This paper addresses the prediction of the static response of slightly curved symmetrically layered members with flexible bond
Summary
The structural members of many engineered constructions are composed of several layers of different materials to obtain an optimal result in terms of weight, stiffness, strength, cost or appearance, etc. Due to the flexibility of the connector, a slip occurs in these flexibly bonded structural members under load, which fundamentally changes the load-bearing behavior 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]). The influence of a small initial deflection on the static response of composite beams with interlayer slip is discussed in three application examples, and the accuracy of the presented theory is demonstrated by the results of a comparative finite element analysis assuming a plane stress state
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