Moderately Large Deflections of Composite Beams with Interlayer Slip

Adam, Christoph; Furtmüller, Thomas

doi:10.1007/978-3-030-21251-3_1

Cited by 4 publications

(9 citation statements)

References 15 publications

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“…3 Free-body diagram of a deformed beam element. First order (in red) and second order (in blue) internal forces (modified from [1]) beam element shown in Fig. 3 in the longitudinal (x-) direction leads to the relationship between the layerwise axial forces and the interlaminar shear tractions [13]:…”

Section: Fundamental Equationsmentioning

confidence: 99%

“…Since the deflection w l of the corresponding linear straight three-layer beam with interlayer slip due to this load is also sine half-wave distributed [1],…”

Section: Solution Of the Governing Equationsmentioning

confidence: 99%

“…The analysis of the geometrically nonlinear response of beams with interlayer slip, on the other hand, is the subject of only a small number of publications (e.g., [6,15]). Recently, the authors of this paper presented a theory for analyzing the geometrically nonlinear static and dynamic response of beams with interlayer slip, whose supports are fixed [1,2]. A small initial deflection, intentional or due to an imperfection of the structural element, also changes the response.…”

Section: Introductionmentioning

confidence: 99%

“…In the present study, therefore, such a theory is proposed for three-layer beams, where an initial deflection is considered in the underlying nonlinear axial strain-displacement relation [19]. The basis for this theory is a study of the authors for beams with interlayer slip with straight beam axis [1]. The boundaries of the considered members can be either clamped, soft hinged or hard hinged.…”

Section: Introductionmentioning

confidence: 99%

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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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Section: Fundamental Equationsmentioning

confidence: 99%

“…Since the deflection w l of the corresponding linear straight three-layer beam with interlayer slip due to this load is also sine half-wave distributed [1],…”

Section: Solution Of the Governing Equationsmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

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Moderately large deflection of slightly curved layered beams with interlayer slip

2022

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“…Hozjan et al [18] analyzed the geometrically and physically nonlinear static response of planar structures with partial interaction. Recently, in [2] the governing equations for predicting the moderately large static response of a fully restrained pinned-pinned beam were presented.…”

Section: Introductionmentioning

confidence: 99%

Flexural vibrations of geometrically nonlinear composite beams with interlayer slip

Adam

Furtmüller

2019

Acta Mech

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This paper addresses moderately large vibrations of immovably supported three-layer composite beams. The layers of these structural members are elastically bonded, and as such, subjected to interlayer slip when excited. To capture the moderately large response, in the structural model a nonlinear axial straindisplacement relation is implemented. The Euler-Bernoulli kinematic assumptions are applied layerwise, and a linear interlaminar slip law is utilized. Accuracy and efficiency of the resulting nonlinear beam theory are validated by selective comparative plane stress finite element calculations. The outcomes of application examples demonstrate the grave effect of interlayer slip on the geometrically nonlinear dynamic response characteristic of layered beams.

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Static response of a slightly precurved layered beam with interlayer slip

Ladurner

Adam

Furtmüller

2021

Proc Appl Math and Mech

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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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Moderately Large Deflections of Composite Beams with Interlayer Slip

Cited by 4 publications

References 15 publications

Moderately large deflection of slightly curved layered beams with interlayer slip

Moderately large deflection of slightly curved layered beams with interlayer slip

Flexural vibrations of geometrically nonlinear composite beams with interlayer slip

Static response of a slightly precurved layered beam with interlayer slip

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