Size-dependent functionally graded beam model based on an improved third-order shear deformation theory

DOI10.1016/j.euromechsol.2014.04.009zbMath1406.74416OpenAlexW2019708938MaRDI QIDQ1669441

Dabiao Liu, Zhipeng Gan, Bo Zhang, Lei Shen, Yuming He

Publication date: 3 September 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.2014.04.009

zbMATH Keywords

functionally graded materialsstrain gradient elasticity theoryimproved third-order shear deformation theory

Mathematics Subject Classification ID

Rods (beams, columns, shafts, arches, rings, etc.) (74K10) Vibrations in dynamical problems in solid mechanics (74H45)

Related Items (22)

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 ⋮ Viscoelastically coupled size-dependent dynamics of microbeams ⋮ Oscillations of functionally graded microbeams ⋮ Coupled vibrations of functionally graded Timoshenko microbeams ⋮ Free vibration analysis of micro rotating beams based on the strain gradient theory using the differential transform method: Timoshenko versus Euler-Bernoulli beam models ⋮ Viscoelasticity effects on resonant response of a shear deformable extensible microbeam ⋮ Thermo-mechanical analysis of porous functionally graded graphene reinforced cylindrical panels using an improved third order shear deformable model ⋮ Thermally induced nonlinear dynamic analysis of temperature-dependent functionally graded flexoelectric nanobeams based on nonlocal simplified strain gradient elasticity theory ⋮ Thermal effect on vibrational behaviors of rotating functionally graded microbeams ⋮ Variational formulation and differential quadrature finite element for freely vibrating strain gradient Kirchhoff plates ⋮ A weak form quadrature element formulation of geometrically exact beams with strain gradient elasticity ⋮ Eigenanalyses of Functionally Graded Micro-Scale Beams Entrapped in an Axially-Directed Magnetic Field with Elastic Restraints ⋮ Surface energy-enriched gradient elastic Kirchhoff plate model and a novel weak-form solution scheme ⋮ Weak-form differential quadrature finite elements for functionally graded micro-beams with strain gradient effects ⋮ An efficient size-dependent plate theory for bending, buckling and free vibration analyses of functionally graded microplates resting on elastic foundation ⋮ Dynamic and static isogeometric analysis for laminated Timoshenko curved microbeams ⋮ Strain gradient differential quadrature Kirchhoff plate finite element with the \(C^2\) partial compatibility ⋮ Bending, vibration, buckling analysis of bi-directional FG porous microbeams with a variable material length scale parameter ⋮ Deep postbuckling and nonlinear bending behaviors of nanobeams with nonlocal and strain gradient effects ⋮ Experimental investigation and theoretical modelling on nonlinear dynamics of cantilevered microbeams ⋮ Size-dependent vibration and stability of moderately thick functionally graded micro-plates using a differential quadrature-based geometric mapping scheme

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