Nonlinear plastic buckling analysis of micro-scale thin plates established on higher order mechanism-based strain gradient plasticity framework
DOI10.1016/j.euromechsol.2019.04.012zbMath1473.74044OpenAlexW2939840747WikidataQ127990216 ScholiaQ127990216MaRDI QIDQ2325786
Asghar Zajkani, Amer Darvishvand
Publication date: 30 September 2019
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.2019.04.012
energy minimizationTaylor modelRitz methodlength scaledislocation interactioniterative quadratic extrapolation
Plates (74K20) Micromechanics of solids (74M25) Energy minimization in equilibrium problems in solid mechanics (74G65) Bifurcation and buckling (74G60) Plastic materials, materials of stress-rate and internal-variable type (74C99) Numerical and other methods in solid mechanics (74S99)
Related Items (3)
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- A size-dependent Kirchhoff micro-plate model based on strain gradient elasticity theory
- A nonlinear microbeam model based on strain gradient elasticity theory with surface energy
- Size effects in the bending of thin foils
- Size effect in micro-scale cantilever beam bending
- Dynamic and buckling analysis of a thin elastic-plastic square plate in a uniform temperature field
- A nonlinear Timoshenko beam formulation based on the modified couple stress theory
- A finite deformation theory of higher-order gradient crystal plasticity
- Static, stability and dynamic analysis of gradient elastic flexural Kirchhoff plates
- A new Kirchhoff plate model based on a modified couple stress theory
- Determination of the microscale stress-strain curve and strain gradient effect from the micro-bend of ultra-thin beams
- On bending of strain gradient elastic micro-plates
- A mathematical basis for strain-gradient plasticity theory. II: Tensorial plastic multiplier
- The influence of microstructure-induced gradients on the localization of deformation in viscoplastic materials
- A phenomenological theory for strain gradient effects in plasticity
- A conventional theory of mechanism-based strain gradient plasticity.
- On the plasticity of single crystals: Free energy, microforces, plastic-strain gradients
- Plastic flow localization in mechanism-based strain gradient plasticity
- Grain-size effect in viscoplastic polycrystals at moderate strains
- Indentation size effects in crystalline materials: a law for strain gradient plasticity
- On the analysis of pure bending of rigid-plastic beams in strain-gradient plasticity
- Geometrically nonlinear micro-plate formulation based on the modified couple stress theory
- On the gradient strain elasticity theory of plates
- A unified treatment of strain gradient plasticity
- The physics of plastic deformation
- A study of microbend test by strain gradient plasticity
- Geometrically necessary dislocations in viscoplastic single crystals and bicrystals undergoing small deformations
- Variational analysis of gradient elastic flexural plates under static loading
- Elastoplastic buckling of rectangular plates in biaxial compression/tension
- Mechanism-based strain gradient plasticity. I: Theory
- Mechanism-based strain gradient plasticity. II: Analysis
- Plastic buckling analysis of thick plates using \(p\)-Ritz method
- Scale-dependent crystal plasticity framework with dislocation density and grain boundary effects
- A theory of strain-gradient plasticity for isotropic, plastically irrotational materials. II: Finite deformations
- Micro-structure in linear elasticity
- Fracture in mechanism-based strain gradient plasticity
- Incompatibility and a simple gradient theory of plasticity
- A reformulation of strain gradient plasticity.
- Elastic/plastic buckling of thick plates
This page was built for publication: Nonlinear plastic buckling analysis of micro-scale thin plates established on higher order mechanism-based strain gradient plasticity framework