Transient analysis of single-layered graphene sheet using the KP-Ritz method and nonlocal elasticity theory
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Publication:300190
DOI10.1016/j.amc.2015.02.023zbMath1338.74106OpenAlexW2085045696MaRDI QIDQ300190
F. Blanchet-Sadri, M. Dambrine
Publication date: 23 June 2016
Published in: Applied Mathematics and Computation (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.amc.2015.02.023
Plates (74K20) Finite element methods applied to problems in solid mechanics (74S05) Statistical mechanics of crystals (82D25) Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30)
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Cites Work
- Vibration of quadrilateral embedded multilayered graphene sheets based on nonlocal continuum models using the Galerkin method
- Nonlocal shear deformable shell model for bending buckling of microtubules embedded in an elastic medium
- 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
- Large deflection analysis of functionally graded carbon nanotube-reinforced composite plates by 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
- Free vibration analysis of carbon nanotubes based on shear deformable beam theory by discrete singular convolution technique
- Postbuckling of carbon nanotube-reinforced functionally graded cylindrical panels under axial compression using a meshless approach
- Reproducing kernel particle methods for large deformation analysis of nonlinear structures
- A structural mechanics approach for the analysis of carbon nanotubes
- Wave characteristics of carbon nanotubes
- Nonlocal Continuum Field Theories
- Boundary element-free method (BEFM) for two-dimensional elastodynamic analysis using Laplace transform
- Reproducing kernel particle methods
- DSC‐Ritz method for high‐mode frequency analysis of thick shallow shells
- DSC‐Ritz method for the free vibration analysis of Mindlin plates
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