On the gradient strain elasticity theory of plates
From MaRDI portal
Publication:1767583
DOI10.1016/j.euromechsol.2004.04.005zbMath1058.74570OpenAlexW2092280121MaRDI QIDQ1767583
Publication date: 8 March 2005
Published in: European Journal of Mechanics. A. Solids (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.euromechsol.2004.04.005
Related Items (69)
Fractional derivatives and strain gradient elasticity ⋮ Dynamics of functionally graded viscoelastic microbeams ⋮ Revisiting bending theories of elastic gradient beams ⋮ Modelling size-dependent bending, buckling and vibrations of 2D triangular lattices by strain gradient elasticity models: applications to sandwich beams and auxetics ⋮ Static, stability and dynamic analysis of gradient elastic flexural Kirchhoff plates ⋮ A new Kirchhoff plate model based on a modified couple stress theory ⋮ Plane strain gradient elastic rectangle in tension ⋮ Axisymmetric bending of strain gradient elastic circular thin plates ⋮ A non-classical Kirchhoff plate model incorporating microstructure, surface energy and foundation effects ⋮ Size dependent analysis of functionally graded microbeams using strain gradient elasticity incorporated with surface energy ⋮ A gradient elasticity model of Bernoulli-Euler nanobeams in non-isothermal environments ⋮ Analysis of a gradient-elastic beam on Winkler foundation and applications to nano-structure modelling ⋮ Closed-form frequency solutions for simplified strain gradient beams with higher-order inertia ⋮ Variational formulations and general boundary conditions for sixth-order boundary value problems of gradient-elastic Kirchhoff plates ⋮ Application of gradient elasticity to armchair carbon nanotubes: size effects and constitutive parameters assessment ⋮ Coupled vibrations of functionally graded Timoshenko microbeams ⋮ Free vibration analysis of micro rotating beams based on the strain gradient theory using the differential transform method: Timoshenko versus Euler-Bernoulli beam models ⋮ A nonlinear strain gradient beam formulation ⋮ Strain gradient elasticity and modified couple stress models for buckling analysis of axially loaded micro-scaled beams ⋮ A fully gradient model for Euler-Bernoulli nanobeams ⋮ A micro-scale modeling of Kirchhoff plate based on modified strain-gradient elasticity theory ⋮ Analytical modelling for vibration analysis of partially cracked orthotropic rectangular plates ⋮ A non-classical third-order shear deformation plate model based on a modified couple stress theory ⋮ Nonlinear strain gradient elastic thin shallow shells ⋮ A size-dependent Kirchhoff micro-plate model based on strain gradient elasticity theory ⋮ Analysis of micro-sized beams for various boundary conditions based on the strain gradient elasticity theory ⋮ Analysis of micro-rotating disks based on the strain gradient elasticity ⋮ Modeling and analysis of micro-sized plates resting on elastic medium using the modified couple stress theory ⋮ An asymptotic strain gradient Reissner-Mindlin plate model ⋮ Stress-driven nonlocal integral elasticity for axisymmetric nano-plates ⋮ Analytical modelling of a nanoscale series-connected bimorph piezoelectric energy harvester incorporating the flexoelectric effect ⋮ On the mapping procedure based on higher‐order Hermite polynomials for laminated thin plates with arbitrary domains in gradient elasticity ⋮ Mechanical analysis of a tunable capacitive ultrasound transducer using higher order gradient theory ⋮ A non-classical model for an orthotropic Kirchhoff plate embedded in a viscoelastic medium ⋮ On simplified deformation gradient theory of modified gradient elastic Kirchhoff-Love plate ⋮ A non-classical model for circular Kirchhoff plates incorporating microstructure and surface energy effects ⋮ Nonlinear vibration analysis of micro-plates based on strain gradient elasticity theory ⋮ Solution of Eshelby's inclusion problem with a bounded domain and Eshelby's tensor for a spherical inclusion in a finite spherical matrix based on a simplified strain gradient elasticity theory ⋮ Variational analysis of gradient elastic flexural plates under static loading ⋮ The application of mesh-free method in the numerical simulation of beams with the size effect ⋮ Nonlinearity analysis of piezoelectric micromachined ultrasonic transducers based on couple stress theory ⋮ Size-dependent axial buckling analysis of functionally graded circular cylindrical microshells based on the modified strain gradient elasticity theory ⋮ A new Bernoulli-Euler beam model incorporating microstructure and surface energy effects ⋮ Differential quadrature-based solution for non-classical Euler-Bernoulli beam theory ⋮ Nonlocal layerwise formulation for bending of multilayered/functionally graded nanobeams featuring weak bonding ⋮ A non-classical Mindlin plate model based on a modified couple stress theory ⋮ A microstructure- and surface energy-dependent third-order shear deformation beam model ⋮ A novel weak form quadrature element for gradient elastic beam theories ⋮ A geometrically nonlinear Euler-Bernoulli beam model within strain gradient elasticity with isogeometric analysis and lattice structure applications ⋮ Nonlinear bending and buckling for strain gradient elastic beams ⋮ Nonlinear free and forced vibration analysis of Timoshenko nanobeams based on Mindlin's second strain gradient theory ⋮ A new Timoshenko beam model incorporating microstructure and surface energy effects ⋮ An application of a size-dependent model on microplate with elastic medium based on strain gradient elasticity theory ⋮ On bending of strain gradient elastic micro-plates ⋮ A numerical analysis of Saint-Venant torsion in strain-gradient bars ⋮ Static and dynamic stability modeling of a capacitive FGM micro-beam in presence of temperature changes ⋮ Bending and buckling of thin strain gradient elastic beams ⋮ Nonlinear bending of size-dependent circular microplates based on the modified couple stress theory ⋮ Nonlinear finite element analysis within strain gradient elasticity: Reissner-Mindlin plate theory versus three-dimensional theory ⋮ Asymptotically consistent size-dependent plate models based on the couple-stress theory with micro-inertia ⋮ Variational formulation and isogeometric analysis for fourth-order boundary value problems of gradient-elastic bar and plane strain/stress problems ⋮ Isogeometric analysis for sixth-order boundary value problems of gradient-elastic Kirchhoff plates ⋮ Interior penalty discontinuous Galerkin FEMs for a gradient beam and cnts ⋮ On the Theories of Plates and Shells at the Nanoscale ⋮ On a strain gradient elastic Timoshenko beam model ⋮ Analytical solutions for buckling of size-dependent Timoshenko beams ⋮ Nonlinear plastic buckling analysis of micro-scale thin plates established on higher order mechanism-based strain gradient plasticity framework ⋮ Variational formulations, model comparisons and numerical methods for Euler–Bernoulli micro- and nano-beam models ⋮ On the strain gradient elasticity theory for isotropic materials
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Wavelength selection in the postbuckling of a long rectangular plate
- On the role of gradients in the localization of deformation and fracture
- Uni-directional buckling of a pinned elastica with external pressure
- A simple approach to solve boundary-value problems in gradient elasticity
- A phenomenological theory for strain gradient effects in plasticity
- Post-buckling problems for long elastic beams
- Structural localization phenomena and the dynamical phase-space analogy
- The Post-Buckling Problem for Thin Elastic Shells
This page was built for publication: On the gradient strain elasticity theory of plates
