Higher order adhesive effects in composite beams

Rizzoni, Raffaella; Dumont, Serge; Lebon, Frédéric; Sacco, Elio

doi:10.1016/j.euromechsol.2020.104108

Cited by 6 publications

(2 citation statements)

References 33 publications

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“…PCB proposed in this study is structured by two prismatic beams of different sections, superposed and assembled between them. In general, the connection between the beams is provided by bolts, rivets, welding or adhesive [4][5][6]. In the present research work, the assembly of the PCB is provided by a very thin adhesive which is stressed by shearing, bending, compression and traction with existing shear deformation.…”

Section: Introductionmentioning

confidence: 98%

Deflection of a Partially Composite Beam Considering the Effect of Shear Deformation

Hamli Benzahar,

Chabaat,

Ayas

2023

Period. Polytech. Civil Eng.

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In this research, the deflection in the interface of a partially composite beam considering the effect of shear deformation is deter-mined. The system of beams is structured by two beams of prismatic sections, connected by an adhesive very thin and rigid, subjected to a uniform bending moment and a uniformly distributed load. The governing differential equation of the partially composite beam is obtained from the total functional energy that takes into consideration the shear deformation. The extreme moments creating second moments, shear forces and normal forces are applied to each beam. The differential equation is derived and then, compared to the one found in partial composite beams where the shear deformation is neglected. It is shown that the theoretical results of deflection with and without shear deformation are compared to each other and also with those found in the Timoshenko’s beam theory.

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Section: Introductionmentioning

confidence: 98%

Deflection of a Partially Composite Beam Considering the Effect of Shear Deformation

Hamli Benzahar,

Chabaat,

Ayas

2023

Period. Polytech. Civil Eng.

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“…In this regard, the authors model the asymptotic behavior of a thin interphase at higher orders for two cases, i.e., soft and hard interface materials, by means of a unified approach. Specifically, the adhesive is replaced by an elastic interface that retains in the memory the main mechanical characteristics of this material (see [18]). A classical theory for obtaining this material interface is the method of matched asymptotic expansions (see [19]).…”

Section: Introductionmentioning

confidence: 99%

Modeling of Imperfect Viscoelastic Interfaces in Composite Materials

et al. 2022

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The present work deals with hierarchical composites in three dimensions, whose constituents behave as non-aging linear viscoelastic materials. We model the influence that imperfect viscoelastic interfaces have on the macroscopic effective response of these structures. As an initial approach, the problem of two bodies in adhesion is studied and in particular the case of soft viscoelastic interface at zero-order is considered. We deduce the integral form of the viscoelastic interface by applying the matched asymptotic expansion method, the correspondence principle, and the Laplace–Carson transform. Then, by adapting the integral form previously obtained, we address a heterogeneous problem for periodic structures. Here, theoretical results obtained for perfect interfaces are extended to the formal viscoelastic counterpart of the spring-type imperfect interface model. Finally, we show the potential of the proposed approach by performing calculations of effective properties in heterogeneous structures with two- and three-scale geometrical configurations and imperfect viscoelastic interfaces.

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A size‐dependent model of strain gradient elastic laminated micro‐beams with a weak adhesive layer

Serpilli,

Rizzoni,

Ramos

et al. 2024

Z Angew Math Mech

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A size‐dependent model for a laminated micro‐beam with a soft adhesive is developed in the framework of strain gradient elasticity theory. The layered beam is constituted by two Euler–Bernoulli strain gradient elastic isotropic beams, joined through a strain gradient spring‐type contact law at the adhesive level. The governing bending and extensional equations and boundary conditions are obtained by using the variational principle. The differential system shows a coupling between the flexural and axial behaviors of the upper and lower beams, due to the presence of interface terms related to shear and peeling stresses. Two benchmark problems have been presented through their closed‐form solutions, namely a simply‐supported laminated beam subjected to a uniform distributed load and a mode 2‐type loading configuration of a layered axially deformable beam. Size effects and non‐local phenomena, due to high strain concentrations, are highlighted. Though simple in their features, the examples prove the efficiency of the proposed approach in designing micro‐scale layered beams.

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Higher order adhesive effects in composite beams

Cited by 6 publications

References 33 publications

Deflection of a Partially Composite Beam Considering the Effect of Shear Deformation

Deflection of a Partially Composite Beam Considering the Effect of Shear Deformation

Modeling of Imperfect Viscoelastic Interfaces in Composite Materials

A size‐dependent model of strain gradient elastic laminated micro‐beams with a weak adhesive layer

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