Analytical and numerical analysis of multilayered beams with interlayer slip

Sousa, João Batista M.; Silva, Amilton R. da

doi:10.1016/j.engstruct.2010.02.015

Cited by 57 publications

(17 citation statements)

References 17 publications

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“…5, the second numerical example considered is a simply supported beam under uniformly distributed transverse load. The beam, analyzed previously by Sousa and da Silva [7], has a concrete core (layer 2) to which are attached steel plates on the top and bottom surfaces (layers 1 and 3). The two interfaces have linearly elastic behaviors but different stiffnesses.…”

Section: Application To Numerical Examplesmentioning

confidence: 99%

“…Most subsequent works deal with multi-layer composite beams and focus the attention on the derivation of suitable finite elements to employ in linear analyses (see e.g. [6,7]). Moreover, since taking into account nonlinear interfacial and/or material behaviors complicates the equations governing the problem, there is a lack of analytical solutions with general validity and most works deal with specific problems and employ numerical solution procedures.…”

Section: Introductionmentioning

confidence: 99%

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Analytical solutions of three-layer beams with interlayer slip and step-wise linear interface law

Monetto

2015

Composite Structures

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Section: Application To Numerical Examplesmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Analytical solutions of three-layer beams with interlayer slip and step-wise linear interface law

Monetto

2015

Composite Structures

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“…Besides these works, analytical solutions were also proposed at the beginning of the fifties by Newmark et al (1951) for two-layered semi-rigid systems and extended by Goodman and Popov (1968) to threelayered (timber) composite beams of rectangular and equal cross-sections. Recent developments on the subject can be found by instance in Krawczyk et al (2007) and Sousa and Da Silva (2010).…”

Section: Numerical Modelmentioning

confidence: 99%

On the semi-rigidity of dovetail joint for the joinery of LVL panels

et al. 2015

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This paper focuses on multiple tab-and-slot joints (MTSJ) for load-carrying assembly of structural wood elements, which are inspired by traditional cabinetmaking joints and adapted for automatic fabrication and engineered wood panels such as laminated veneer lumber. First a numerical method is presented for the estimation of the connections' semi-rigid properties based on box beam samples. In a simplified model, the mechanical behavior of the joint is represented by potential elastic slips at interfaces. They are handled by the model with the help of rigidity modulus, which is determined by matching simulated and experimental deflections. Finally, the influence of tab length and contact face angle on the semi-rigidity of the joint is discussed considering a dovetail geometry of the MTSJ. Glued and screwed samples serve as references in this study.

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“…Very few analytical works are available for three-layer or multilayer structural elements with interlayer slips (see Goodman and Popov 1968, Chui and Barclay 1998, Schnabl et al 2006or Sousa Jr and da Silva 2010. Goodman and Popov (1968) analytically studied the bending behaviour of a symmetrical three-layer (composite beam with identical layers) beam with interlayer slip assuming Euler-Bernoulli beam kinematics for each sub-element.…”

Section: Introductionmentioning

confidence: 99%

Stability analysis of three-layer shear deformable partial composite columns

Atashipour

Girhammar

Challamel

2017

International Journal of Solids and Structures

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International audienceThis paper is focused on the effect of imperfect bonding and partial composite interaction between the sub-elements of a box-type column on the critical buckling loads. The box column is modelled as a symmetric three-layer composite structure with interlayer slips at the interfaces, based on the Engesser-Timoshenko theory with uniform shear deformation assumptions. Linear shear springs or slip modulus is considered at the interfaces to model the partial interaction between the sub-elements of the structure. The minimum total potential energy principle is utilized to obtain governing equations and boundary conditions. A direct analytical solution of the original governing equations is presented for obtaining exact buckling characteristic equation of the three-layer partial composite column with different end conditions including clamped-pinned end conditions. Also, the coupled equations are recast into an efficient uncoupled form and shown that there is a strong similarity with those for the two layer element. It is shown that the obtained formulae are converted to the known Euler column formulae when the slip modulus approaches infinity (i.e. perfect bonding) and no shear deformations in the sub-elements are considered. A differential shear Engesser-Timoshenko partial composite model is also employed and critical buckling loads, obtained from an inverse solution method, are compared to examine the validity and accuracy level of the uniform shear model. Comprehensive dimensionless numerical results are presented and discussed. (C) 2016 Elsevier Ltd. All rights reserved

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Analytical and numerical analysis of multilayered beams with interlayer slip

Cited by 57 publications

References 17 publications

Analytical solutions of three-layer beams with interlayer slip and step-wise linear interface law

Analytical solutions of three-layer beams with interlayer slip and step-wise linear interface law

On the semi-rigidity of dovetail joint for the joinery of LVL panels

Stability analysis of three-layer shear deformable partial composite columns

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