The size-dependent static bending of a partially covered laminated microbeam

Fu, Guangyang; Qi, Lu

doi:10.1016/j.ijmecsci.2018.12.037

Cited by 16 publications

(1 citation statement)

References 6 publications

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“…Li et al [40] applied the modified version of strain gradient theory of elasticity to explore static bending and vibrations of organic solar cells on Winkler-Pasternak elastic foundation. Fu et al [41] constructed a partially covered laminated beam model according to general strain gradient continuum elasticity for the static bending behavior of microbeams. Phung-Van et al [42] examined the nonlinear transient behavior of FG composite nanoplates incorporating nonlocal size effect together with porosity dependency.…”

Section: Introductionmentioning

confidence: 99%

Nonlinear oscillations of elliptical and sector prefabricated nanoplate-type structures made of functionally graded building material

2021

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The primary goal of this work is to apply for the first time the efficient isogeometric type of numerical solving technique for the geometrically nonlinear large-amplitude oscillations of nanoplates with arbitrary shapes with variable thicknesses incorporating simultaneously strain gradient size and nonlocality dependencies. Microplate thickness variation follows convex, concave, and linear patterns. Accordingly, isogeometric analysis is carried out to obtain precise geometrical description and higher-order efficient smoothness related to thickness variation within an arbitrary shape with no difficulty in meshing. It is assumed that nanoplates are made of functionally graded composite materials with variable material properties at different thicknesses. It is found that changing thickness variation pattern from convex to linear, and finally to concave increases the significance of both nonlocality and strain gradient size effects. Moreover, it is demonstrated that by increasing plate deflection and material gradient index, the contributions of strain gradient and nonlocal stress to the nonlinear frequency of functionally graded composite nanoplates are weakened.

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Section: Introductionmentioning

confidence: 99%

Nonlinear oscillations of elliptical and sector prefabricated nanoplate-type structures made of functionally graded building material

2021

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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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On the size-dependent bending and buckling of the partially covered laminated microplate

Zhang

et al. 2022

Engineering with Computers

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The size-dependent static bending of a partially covered laminated microbeam

Cited by 16 publications

References 6 publications

Nonlinear oscillations of elliptical and sector prefabricated nanoplate-type structures made of functionally graded building material

Nonlinear oscillations of elliptical and sector prefabricated nanoplate-type structures made of functionally graded building material

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

On the size-dependent bending and buckling of the partially covered laminated microplate

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