Modeling nonlinear bending of axisymmetric circular nano-plates in framework of Ru's surface stress elasticity theory
DOI10.1007/s10665-021-10192-6zbMath1485.74059OpenAlexW4200296314MaRDI QIDQ2074239
Amar Djema, Hocine Bechir, Koceila Benazouz
Publication date: 7 February 2022
Published in: Journal of Engineering Mathematics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s10665-021-10192-6
shear deformationfinite element methodsemi-analytical methodGurtin-Murdoch modelelastic Kirchhoff nano-platevon Kármàn geometric nonlinearity
Plates (74K20) Finite element methods applied to problems in solid mechanics (74S05) Micromechanics of solids (74M25) Elastic materials (74B99)
Uses Software
Cites Work
- Unnamed Item
- A strain-consistent elastic plate model with surface elasticity
- Curvature-dependent surface energy and implications for nanostructures
- Analytical solutions for a surface-loaded isotropic elastic layer with surface energy effects
- On thermomechanical solids with boundary structures
- Multiple interacting circular nano-inhomogeneities with surface/interface effects
- A review on the application of modified continuum models in modeling and simulation of nanostructures
- Size-dependent response of ultra-thin films with surface effects
- A non-classical model for circular Kirchhoff plates incorporating microstructure and surface energy effects
- The method of virtual power in continuum mechanics. Application to media presenting singular surfaces and interfaces
- A continuum theory of elastic material surfaces
- Surface stress in solids
- Theoretical investigation of phenomena caused by heterogeneous surface tension in solids
- On the shell theory on the nanoscale with surface stresses
- Modeling thin structures incorporated with surface effects by using layered shell elements
- Bending of circular nanoplates with consideration of surface effects
- A methodology for modeling surface effects on stiff and soft solids
- Postbuckling behavior of circular higher-order shear deformable nanoplates including surface energy effects
- Thin plate theory including surface effects
- Surface free energy and its effect on the elastic behavior of nano-sized particles, wires and films
- Size-dependent nonlinear response of thin elastic films with nano-scale thickness
- Differential quadrature: A technique for the rapid solution of nonlinear partial differential equations
- Size-dependent effective properties of a heterogeneous material with interface energy effect: from finite deformation theory to infinitesimal strain analysis
- Elastic surface—substrate interactions
This page was built for publication: Modeling nonlinear bending of axisymmetric circular nano-plates in framework of Ru's surface stress elasticity theory
