Nonlinear wave propagation in graphene incorporating second strain gradient theory

Thin-Walled Structures, Journal Year: 2024, Volume and Issue: 198, P. 111713 - 111713

Published: Feb. 15, 2024

The exploration of graphene has attracted extensive interest owing to its significant structural and mechanical properties. In this research, we numerically investigate wave propagation in defect-free single-layer graphene, considering geometrically nonlinear behavior through second-strain gradient elasticity. To capture the geometric nonlinearity, firstly, strain–displacement relations are introduced. governing equation associated boundary conditions derived using Hamilton's principle. Then, weak form, including element matrices, is established. eigenvalue problem solved for 2D periodic structures theory. Finally, dynamical properties such as band structures, mode shapes, energy flow, beaming effects analyzed. numerical results reveal that nonlinearity second strain influences characteristics graphene. findings contribute understanding graphene's dynamic response, with implications engineering applications graphene-based nanostructures.

Language: Английский

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Nanocomposites with cylindrical/rectangular/spherical/ellipsoidal reinforcements: Generalized continuum mechanics

International Journal of Engineering Science, Journal Year: 2024, Volume and Issue: 203, P. 104125 - 104125

Published: Aug. 8, 2024

Language: Английский

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Reflection-transmission coefficient of SH waves in a layered interface with spring sandwiched between thin membranes: An application of strain gradient theory

Mechanics of Advanced Materials and Structures, Journal Year: 2025, Volume and Issue: unknown, P. 1 - 11

Published: Feb. 25, 2025

Language: Английский

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Applicability of scale parameters in nonlocal shear deformation circular copper plates for axisymmetric vibrations

Journal of Sound and Vibration, Journal Year: 2025, Volume and Issue: unknown, P. 119173 - 119173

Published: May 1, 2025

Language: Английский

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Relationship between geometric features and vibration characteristics in functionally graded piezoelectric annular plates: An extended double Legendre polynomial method

Journal of Vibration and Control, Journal Year: 2025, Volume and Issue: unknown

Published: April 15, 2025

The utilization of flexural, longitudinal, and torsional modes in functionally graded piezoelectric (FGP) annular plates depends on their geometric features. investigation the relationship between features vibrational characteristics offers valuable insights for optimal design. In this paper, double Legendre polynomial method (DLPM) is extended first time to study three-dimensional (3D) flexural vibration FGP from two-dimensional (2D) axisymmetric based 3D elasticity theory. validity proposed verified by literature results finite element (FEM) results. influence radial wall thickness height longitudinal vibrations systematically revealed. provide comprehensive guidance design application domains requiring high precision, stability, sensitivity.

Language: Английский

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Nonlocal Aspect of Piezoelectric Composite on Transmission of Mechanical Wave

International Journal of Applied and Computational Mathematics, Journal Year: 2024, Volume and Issue: 10(3)

Published: May 15, 2024

Language: Английский

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Rayleigh waves in viscoelastic piezoelectric half-space with cladding structures: an analytic Legendre-Laguerre polynomial method

European Journal of Mechanics - A/Solids, Journal Year: 2024, Volume and Issue: 107, P. 105397 - 105397

Published: Sept. 1, 2024

Language: Английский

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Reflection-transmission coefficients of SH waves across thin-walled spring-membrane strain gradient interface

European Journal of Mechanics - A/Solids, Journal Year: 2024, Volume and Issue: unknown, P. 105531 - 105531

Published: Dec. 1, 2024

Language: Английский

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Modeling Frequency Shifts in Small-Scale Beams with Multiple Eccentric Masses

Thin-Walled Structures, Journal Year: 2024, Volume and Issue: 201, P. 112005 - 112005

Published: May 14, 2024

Studying the dynamics of small-scale beams with attached particles is crucial for sensing applications in various fields, such as bioscience, material science, energy storage devices, and environmental monitoring. Here, a stress-driven nonlocal model presented free transverse vibration carrying multiple masses taking into account eccentricity relative to beam axis. The results show excellent agreement experimental numerical data literature. New insights frequency shifts mode shapes first four vibrational modes up three are presented. study investigates inverse problem detecting location mass an particle based on natural shifts. knowledge acquired from present provides valuable guidance design analysis ultrasensitive mechanical sensors.

Language: Английский

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Nonlocal strain gradient-based nonlinear vibration analysis of nonlinear FG three-phase HJCNT/MWCNT/epoxy composite microbeam resonators using a modified micromechanical model

Physica Scripta, Journal Year: 2024, Volume and Issue: 99(8), P. 085208 - 085208

Published: July 9, 2024

Abstract This paper aims to study nonlinear dynamic behavior of functionally graded (FG) three-phase composite microbeam resonators made an epoxy matrix and two reinforcements namely multi-walled carbon nanotubes (MWCNTs) hetero-junction (HJCNTs). The effective mechanical properties the are obtained using modified Halpin-Tsai micromechanical model. surrounding medium is simulated a two-parameter elastic foundation. von-Karman’s geometric nonlinearity relations incorporated equations motion derived based on nonlocal strain gradient Euler–Bernoulli beam A new closed-form analytical solution homotopy perturbation method. effects vibration amplitude, nanofiber volume fraction, distribution pattern, small-scale parameters foundation frequency deflection FG microbeams studied in detail. findings valuable for researchers field resonators.

Language: Английский

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