Static and dynamic stabilities of modified gradient elastic Kirchhoff-Love plates

DOI10.1016/J.EUROMECHSOL.2024.105426MaRDI QIDQ6621901

Publication date: 21 October 2024

Published in: European Journal of Mechanics. A. Solids (Search for Journal in Brave)

zbMATH Keywords

variational method size effect critical buckling load higher-order deformation gradient improved energy method Lyapunov second stability method static balance method

Mathematics Subject Classification ID

Plates (74K20) Stability of dynamical problems in solid mechanics (74H55) Bifurcation and buckling (74G60)

Cites Work

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Nonlocal viscoelasticity based vibration of double viscoelastic piezoelectric nanobeam systems
A size-dependent Kirchhoff micro-plate model based on strain gradient elasticity theory
Nonsingular stress and strain fields of dislocations and disclinations in first strain gradient elasticity
Dynamic stability analysis of finite element modeling of piezoelectric composite plates
One-dimensional stress-driven nonlocal integral model with bi-Helmholtz kernel: close form solution and consistent size effect
Static, stability and dynamic analysis of gradient elastic flexural Kirchhoff plates
A new Kirchhoff plate model based on a modified couple stress theory
On bending of strain gradient elastic micro-plates
Crack-tip problem in non-local elasticity
Buckling and free vibration of the FGM thin micro-plate based on the modified strain gradient theory and the spline finite strip method
The size-dependent analysis of multilayer micro-cantilever plate with piezoelectric layer incorporated voltage effect based on a modified couple stress theory
Variational formulations and general boundary conditions for sixth-order boundary value problems of gradient-elastic Kirchhoff plates
Buckling analysis of rectangular functionally graded plates under various edge conditions using Fourier series expansion
Buckling and free vibration analysis of piezoelectric laminated composite plates using various plate deformation theories
Analytical solution for strain gradient elastic Kirchhoff rectangular plates under transverse static loading
On the gradient strain elasticity theory of plates
Couple stress based strain gradient theory for elasticity
A meshfree method with gradient smoothing for free vibration and buckling analysis of a strain gradient thin plate
On size-dependent mechanics of nanoplates
Buckling analysis and dynamic response of FGM sandwich cylindrical panels in thermal environments using nonlocal strain gradient theory
Nonlinear plastic buckling analysis of micro-scale thin plates established on higher order mechanism-based strain gradient plasticity framework
Stress-driven nonlocal integral elasticity for axisymmetric nano-plates
Micro-structure in linear elasticity
Buckling analysis of orthotropic nanoplates based on nonlocal strain gradient theory using the higher-order finite strip method (H-FSM)
Static and free vibration analysis of functionally graded annular plates using stress-driven nonlocal theory
Dynamic stability of a cantilever conductive plate in transverse impulsive magnetic field
Nonlinear parametric excitation and dynamic stability of auxetic honeycombs core with CNTRC face sheets sandwich plate
A simplified deformation gradient theory and its experimental verification
On simplified deformation gradient theory of modified gradient elastic Kirchhoff-Love plate
Size-dependent thermal bending of bilayer microbeam based on modified couple stress theory and Timoshenko beam theory
Size-effect analysis on vibrational response of functionally graded annular nano-plate based on nonlocal stress-driven method
A size-dependent buckling and dynamic stability performance of graphene-reinforced cellular functionally graded microplates

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