Strain gradient formulation of functionally graded nonlinear beams

DOI10.1016/j.ijengsci.2013.02.002zbMath1423.74508OpenAlexW2079719844MaRDI QIDQ1621764

M. H. Kahrobaiyan, Masoud Rahaeifard, Mohammad Taghi Ahmadian, Keikhosrow Firoozbakhsh

Publication date: 12 November 2018

Published in: International Journal of Engineering Science (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.ijengsci.2013.02.002

zbMATH Keywords

functionally graded materialEuler-Bernoulli beamstrain gradient theorylength scale parametermid-plane stretching

Mathematics Subject Classification ID

Rods (beams, columns, shafts, arches, rings, etc.) (74K10) Composite and mixture properties (74E30)

Related Items (15)

Size dependent buckling analysis of microbeams based on modified couple stress theory with high order theories and general boundary conditions ⋮ Bending and vibration of functionally graded sinusoidal microbeams based on the strain gradient elasticity theory ⋮ Modified nonlocal elasticity theory for functionally graded materials ⋮ Nonlocal nonlinear analysis of functionally graded plates using third-order shear deformation theory ⋮ Free vibration analysis of nonlocal strain gradient beams made of functionally graded material ⋮ Nonlinear bending and free vibration analyses of nonlocal strain gradient beams made of functionally graded material ⋮ Torsion of a functionally graded material ⋮ Oscillations of functionally graded microbeams ⋮ Size dependent dynamic behavior of electrostatically actuated microbridges ⋮ Time-dependent thermo-creep analysis of rotating FGM thick-walled cylindrical pressure vessels under heat flux ⋮ Coupled vibrations of functionally graded Timoshenko microbeams ⋮ A review on the mechanics of functionally graded nanoscale and microscale structures ⋮ A strain gradient Timoshenko beam element: application to MEMS ⋮ Bending, vibration, buckling analysis of bi-directional FG porous microbeams with a variable material length scale parameter ⋮ Nonlinear forced vibration of size-dependent functionally graded microbeams with damping effects

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