Nonlinear bending of size-dependent circular microplates based on the modified couple stress theory

DOI10.1007/s00419-013-0807-9zbMath1355.74054OpenAlexW1971407214MaRDI QIDQ2511618

Changling Zhou, Yong-Gang Wang, Wen-Hui Lin

Publication date: 6 August 2014

Published in: Archive of Applied Mechanics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00419-013-0807-9

zbMATH Keywords

von Kármán theoryprinciple of minimum total potential energyorthogonal collocation point method

Mathematics Subject Classification ID

Related Items (9)

Nonlinear axisymmetric bending analysis of strain gradient thin circular plate ⋮ On the dynamics of imperfect shear deformable microplates ⋮ Axisymmetric couple stress elasticity and its finite element formulation with penalty terms ⋮ Size-dependent nonlinear forced vibration and dynamic stability of electrically actuated micro-plates ⋮ Size-dependent nonlinear analysis and damping responses of FG-CNTRC micro-plates ⋮ Bending analysis of size-dependent functionally graded annular sector microplates based on the modified couple stress theory ⋮ Refined two-temperature multi-phase-lags theory for thermomechanical response of microbeams using the modified couple stress analysis ⋮ On the mechanical analysis of microcrystalline cellulose sheets ⋮ Micro temperature-dependent FG porous plate: free vibration and thermal buckling analysis using modified couple stress theory with CPT and FSDT

Cites Work

• Unnamed Item
• Unnamed Item
• Microstructure-dependent couple stress theories of functionally graded beams
• Investigation of the size effects in Timoshenko beams based on the couple stress theory
• A nonlinear Timoshenko beam formulation based on the modified couple stress theory
• Nonlinear non-classical microscale beams: static bending, postbuckling and free vibration
• Nonlocal nonlinear formulations for bending of classical and shear deformation theories of beams and plates
• A non-classical Mindlin plate model based on a modified couple stress theory
• A microstructure-dependent Timoshenko beam model based on a modified couple stress theory
• A new Kirchhoff plate model based on a modified couple stress theory
• On bending of strain gradient elastic micro-plates
• Nonlinear dynamic analysis of circular plates with varying thickness
• Elastic materials with couple-stresses
• Experiments and theory in strain gradient elasticity.
• On the shell theory on the nanoscale with surface stresses
• Geometrically nonlinear micro-plate formulation based on the modified couple stress theory
• Geometrically nonlinear axisymmetric response of thin circular plate under piezoelectric actuation
• On the gradient strain elasticity theory of plates
• Couple stress based strain gradient theory for elasticity
• On generalized Cosserat-type theories of plates and shells: a short review and bibliography
• Effects of couple-stresses in linear elasticity
• On the linear theory of micropolar plates

This page was built for publication: Nonlinear bending of size-dependent circular microplates based on the modified couple stress theory