Nonlocal continuum model for vibration of single-layered graphene sheets based on the element-free kp-Ritz method

DOI10.1016/j.enganabound.2015.01.020zbMath1403.74332OpenAlexW2030566317MaRDI QIDQ1654692

Y. Aharonov

Publication date: 9 August 2018

Published in: Engineering Analysis with Boundary Elements (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.enganabound.2015.01.020

zbMATH Keywords

free vibration analysisnonlocal elasticity theoryelement-free kp-Ritz methodsingle-layered graphene sheet

Mathematics Subject Classification ID

Vibrations in dynamical problems in solid mechanics (74H45) Statistical mechanics of crystals (82D25) Numerical methods for partial differential equations, boundary value problems (65N99)

Related Items (10)

Circumferential nonlocal effect on the buckling and vibration of nanotubes ⋮ A review of dynamic analyses of single- and multi-layered graphene sheets/nanoplates using various nonlocal continuum mechanics-based plate theories ⋮ A review on the mechanics of nanostructures ⋮ Nonlinear bending analysis of nonlocal nanoplates with general shapes and boundary conditions by the boundary-only method ⋮ Large deflection analysis of nanowires based on nonlocal theory using total Lagrangian finite element method ⋮ New closed-form solutions for flexural vibration and eigen-buckling of nanoplates based on the nonlocal theory of elasticity ⋮ Static analysis of a circular nanotube made of functionally graded bi-semi-tubes using nonlocal strain gradient theory and a refined shear model ⋮ Thermo-mechanical vibration of double-layer graphene nanosheets in elastic medium considering surface effects; developing a nonlocal third order shear deformation theory ⋮ A size-dependent moving Kriging meshfree model for deformation and free vibration analysis of functionally graded carbon nanotube-reinforced composite nanoplates ⋮ Modeling of nonlinear vibration of graphene sheets using a meshfree method based on nonlocal elasticity theory

Cites Work

• Numerical analysis of generalized regularized long wave equation using the element-free kp-Ritz method
• An improved moving least-squares Ritz method for two-dimensional elasticity problems
• An element-free based solution for nonlinear Schrödinger equations using the ICVMLS-Ritz method
• Large deflection geometrically nonlinear analysis of carbon nanotube-reinforced functionally graded cylindrical panels
• An improved element-free Galerkin method for numerical modeling of the biological population problems
• A mesh-free computational framework for predicting buckling behaviors of single-walled carbon nanocones under axial compression based on the moving Kriging interpolation
• Geometrically nonlinear analysis of functionally graded plates using the element-free kp-Ritz method
• Nonlocal nonlinear formulations for bending of classical and shear deformation theories of beams and plates
• Analysis of single-walled carbon nanotubes using the moving Kriging interpolation
• Wave propagation in graphene sheets with nonlocal elastic theory via finite element formulation
• Nodal integration of the element-free Galerkin method
• Reproducing kernel particle methods for large deformation analysis of nonlinear structures
• A structural mechanics approach for the analysis of carbon nanotubes
• Effective in-plane stiffness and bending rigidity of armchair and zigzag carbon nanotubes
• Reproducing kernel particle methods

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