article · Mechanics of Advanced Materials and Structures
This research developed a model to investigate the bending behaviour of viscoelastic nanobeams. The model uses the modified couple stress theory, which accounts for size effects at the nanoscale, combined with a new shear and normal deformations beam theory. The nanobeams were considered to be simply supported and resting on a double-layer visco-Pasternak elastic foundation, comprising a Kelvin-Voigt viscoelastic layer and a shear layer. The study applied a time harmonic transverse load to the nanobeams. Using Hamilton's principle, differential motion equations were derived. The model's predictions were validated against existing literature. The investigation explored how various parameters, such as the material length scale, length-to-depth ratio, viscoelastic damping, and foundation properties, influence the nanobeam's deflection and stresses.
Understanding the bending behaviour of nanobeams is crucial for designing and optimising miniature devices and structures. This research provides a theoretical framework to predict how these tiny components respond to forces and foundation interactions, which is essential for advancing nanotechnology and micro-electromechanical systems.
This research presents a theoretical model for understanding nanobeam mechanics. It is fundamental research that could inform the design and analysis of future nanoscale devices or sensors, but the abstract does not indicate any immediate application pathways, specific users, or a readiness level for commercialisation.
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The modified couple stress theory (MCST) is utilized to investigate the bending of viscoelastic nanobeams laying on visco-Pasternak elastic foundations based on a new shear and normal deformations beam theory. This model consists of the material length scale coefficient that captures the size impact on small-scale beams. The simply supported beam is made of viscoelastic material, subjected to time harmonic transverse load. The nanobeam is presumed to be laying on double layers of foundations. The first layer is modeled as Kelvin–Voigt viscoelastic model and the second is taken as a shear layer. Based on the proposed beam theory and MCST, the differential motion equations are deduced using Hamilton’s principle. To check the validity of the obtained formulations, the predicted results are compared with those available in the open literature. In addition, the influences of various parameters such as the material length scale parameter, length-to-depth ratio, viscoelastic damping structure, the stiffness and damping coefficients of the viscoelastic substrate, and shear and normal strains on the deflection and stresses are illustrated.
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DOI: 10.1080/15376494.2018.1482579
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