Nonlinear bending analysis of nonlocal nanoplates with general shapes and boundary conditions by the boundary-only method

DOI10.1016/j.enganabound.2017.12.003zbMath1403.74212OpenAlexW2772675618MaRDI QIDQ1658938

Boonme Chinnaboon, Monchai Panyatong, Somchai Chucheepsakul

Publication date: 15 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.2017.12.003

zbMATH Keywords

boundary element methodnonlocal elasticitymeshlessnanoplatesanalog equation methodnonlinear bending

Mathematics Subject Classification ID

Spectral, collocation and related methods for boundary value problems involving PDEs (65N35) Nonlinear elasticity (74B20) Plates (74K20) Boundary element methods applied to problems in solid mechanics (74S15) Boundary element methods for boundary value problems involving PDEs (65N38)

Related Items

Exact and approximate analytical solutions for nonlocal nanoplates of arbitrary shapes in bending using the line element-less method

Cites Work

• Unnamed Item
• Unnamed Item
• Stiffness and buckling optimization of thin plates with BEM
• Post-buckling analysis of viscoelastic plates with fractional derivative models
• A BEM-based meshless solution to buckling and vibration problems of orthotropicplates
• Nonlinear thermo-elastic bending behavior of graphene sheets embedded in an elastic medium based on nonlocal elasticity theory
• The BEM for numerical solution of partial fractional differential equations
• Analysis of inhomogeneous anisotropic viscoelastic bodies described by multi-parameter fractional differential constitutive models
• A BEM-based domain meshless method for the analysis of Mindlin plates with general boundary conditions
• Nonlocal nonlinear formulations for bending of classical and shear deformation theories of beams and plates
• A BEM-based meshless method for plates on biparametric elastic foundation with internal supports
• Nonlocal continuum model for vibration of single-layered graphene sheets based on the element-free kp-Ritz method
• An element-free based IMLS-Ritz method for buckling analysis of nanocomposite plates of polygonal planform
• Nonlinear analysis of elastic space cable-supported membranes
• Linear and geometrically nonlinear analysis of plates and shells by a new refined non-conforming triangular plate/shell element
• Size effect on the static, dynamic and buckling analysis of orthotropic Kirchhoff-type skew micro-plates based on a modified couple stress theory: comparison with the nonlocal elasticity theory
• Vibrations of inhomogeneous anisotropic viscoelastic bodies described with fractional derivative models
• Optimum design of thin plates via frequency optimization using BEM
• NONLOCAL THEORY FOR BUCKLING OF NANOPLATES
• A BEM-BASED MESHLESS METHOD FOR ELASTIC BUCKLING ANALYSIS OF PLATES
• Nonlocal Continuum Field Theories
• The analog equation method: A boundary-only integral equation method for nonlinear static and dynamic problems in general bodies