Vibration analysis of a strain gradient plate model via a mesh-free moving kriging interpolation method

DOI10.1016/j.enganabound.2021.11.014OpenAlexW3216720629MaRDI QIDQ2118618

Jianwei Yan, Dongchang Hou, Lifeng Wang, Kim Moew Liew

Publication date: 22 March 2022

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

Full work available at URL: https://doi.org/10.1016/j.enganabound.2021.11.014

zbMATH Keywords

vibrationstrain gradient elasticity theorymoving Kriging interpolationmesh-free methodultrahigh-order mode shapes

Mathematics Subject Classification ID

Mechanics of deformable solids (74-XX) Fluid mechanics (76-XX)

Related Items

Editorial: Special Issue on ``Meshless numerical approaches to mechanics of composite nanoscale and microscale structures

Cites Work

• A size-dependent Kirchhoff micro-plate model based on strain gradient elasticity theory
• Modeling and analysis of micro-sized plates resting on elastic medium using the modified couple stress theory
• A mesh-free computational framework for predicting buckling behaviors of single-walled carbon nanocones under axial compression based on the moving Kriging interpolation
• On the stability of the moving least squares approximation and the element-free Galerkin method
• A moving Kriging interpolation-based element-free Galerkin method for structural dynamic analysis
• A classification of higher-order strain-gradient models --- linear analysis
• An analytical solution for buckling analysis of size-dependent rectangular micro-plates according to the modified strain gradient and couple stress theories
• Size-dependent vibration of a microplate under the action of a moving load based on the modified couple stress theory
• On the strain gradient elasticity theory for isotropic materials
• An improved moving Kriging-based meshfree method for static, dynamic and buckling analyses of functionally graded isotropic and sandwich plates
• A mesh-free vibration analysis of strain gradient nano-beams
• A micro-scale modeling of Kirchhoff plate based on modified strain-gradient elasticity theory
• Superelasticity and wrinkles controlled by twisting circular graphene
• A practical meshfree inverse method for identification of thermo-mechanical fracture load of a body by examining the crack path in the body
• Aifantis versus Lam strain gradient models of Bishop elastic rods
• Linear theory of nonlocal elasticity and dispersion of plane waves
• Strain Gradient Finite Element Analysis on the Vibration of Double-Layered Graphene Sheets
• Boundary element-free method (BEFM) and its application to two-dimensional elasticity problems
• Non-local elastic plate theories
• Moving kriging interpolation and element-free Galerkin method