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Two-phase nonlocal integral model with bi-Helmholtz kernel for free vibration analysis of multi-walled carbon nanotubes considering size-dependent van der Waals forces

Chang Li, Rongjun Chen, Cheng Li, Hai Qing

2025Applied Mathematics and Mechanics5 citationsDOI

Topics & Concepts

van der Waals forceCarbon nanotubeNyström methodQuadrature (astronomy)PhysicsBoundary value problemClassical mechanicsIntegral equationVibrationBounded functionParametric statisticsDifferential equationMathematical analysisKernel (algebra)Coupling (piping)Orthotropic materialPartial differential equationDifferential (mechanical device)MechanicsDegrees of freedom (physics and chemistry)Statistical physicsKnudsen numberCasimir effectBoundary (topology)MathematicsMaterials scienceCurrent (fluid)Nonlocal and gradient elasticity in micro/nano structuresCarbon Nanotubes in CompositesComposite Material Mechanics