Vibration and buckling of first-order shear deformable circular cylindrical micro-/nano-shells based on Mindlin's strain gradient elasticity theory

DOI10.1016/j.euromechsol.2016.01.014zbMath1406.74473OpenAlexW2300162956MaRDI QIDQ1658086

Y. Aharonov

Publication date: 14 August 2018

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.2016.01.014

zbMATH Keywords

micro-/nano-shellsMindlin's strain gradient elasticity theorysize-dependent free vibration and axial buckling

Mathematics Subject Classification ID

Vibrations in dynamical problems in solid mechanics (74H45) Bifurcation and buckling (74G60) Shells (74K25)

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Cites Work

• Unnamed Item
• A size-dependent Kirchhoff micro-plate model based on strain gradient elasticity theory
• Size-dependent axial buckling analysis of functionally graded circular cylindrical microshells based on the modified strain gradient elasticity theory
• Static and dynamic analysis of micro beams based on strain gradient elasticity theory
• A nonlinear Timoshenko beam formulation based on the modified couple stress theory
• Size dependent buckling analysis of functionally graded micro beams based on 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
• Variational formulation of a modified couple stress theory and its application to a simple shear problem
• A phenomenological theory for strain gradient effects in plasticity
• Experiments and theory in strain gradient elasticity.
• Nonlinear vibration analysis of Timoshenko nanobeams based on surface stress elasticity theory
• Couple stress based strain gradient theory for elasticity
• A micro scale Timoshenko beam model based on strain gradient elasticity theory
• Variational formulation of a simplified strain gradient elasticity theory and its application to a pressurized thick-walled cylinder problem
• Theories of elasticity with couple-stress
• Nonlinear theory of simple micro-elastic solids. I
• Nonlocal polar elastic continua
• Effects of couple-stresses in linear elasticity
• Micro-structure in linear elasticity
• Nonlinear Vibrations and Stability of Shells and Plates
• The free vibration of rectangular plates

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