Bending and vibration of functionally graded sinusoidal microbeams based on the strain gradient elasticity theory

DOI10.1016/J.IJENGSCI.2013.06.012zbMath1423.74494OpenAlexW1973433254MaRDI QIDQ1621821

Jian Lei, Pengcheng Zeng, Yuming He, Zhipeng Gan, Bo Zhang

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.2013.06.012

zbMATH Keywords

functionally graded materialssize effectstrain gradient elasticity theorymicrobeamsinusoidal shear deformation theory

Mathematics Subject Classification ID

Rods (beams, columns, shafts, arches, rings, etc.) (74K10) Micromechanics of solids (74M25) Elastic materials (74B99)

Related Items (24)

Modified nonlocal elasticity theory for functionally graded materials ⋮ On the mechanics of curved flexoelectric microbeams ⋮ Dynamics of functionally graded viscoelastic microbeams ⋮ Free vibration analysis of nonlocal strain gradient beams made of functionally graded material ⋮ Size-dependent vibration analysis of nanobeams based on the nonlocal strain gradient theory ⋮ Postbuckling analysis of microscale beams based on a strain gradient finite element approach ⋮ Small-scale Timoshenko beam element ⋮ Coupled vibrations of functionally graded Timoshenko microbeams ⋮ The steady-state response of size-dependent functionally graded nanobeams to subharmonic excitation ⋮ Transverse shear and normal deformation effects on vibration behaviors of functionally graded micro-beams ⋮ Size-dependent functionally graded beam model based on an improved third-order shear deformation theory ⋮ A review on the mechanics of functionally graded nanoscale and microscale structures ⋮ Isogeometric analysis of small-scale effects on the vibration of functionally graded porous curved microbeams based on the modified strain gradient elasticity theory ⋮ Eigenanalyses of Functionally Graded Micro-Scale Beams Entrapped in an Axially-Directed Magnetic Field with Elastic Restraints ⋮ Nonlinear forced vibration of curved microbeam resting on nonlinear foundation using the modified strain gradient theory ⋮ Generalized power-law exponent based shear deformation theory for free vibration of functionally graded beams ⋮ An efficient size-dependent plate theory for bending, buckling and free vibration analyses of functionally graded microplates resting on elastic foundation ⋮ A comprehensive review on vibration analysis of functionally graded beams ⋮ A microstructure-dependent sinusoidal plate model based on the strain gradient elasticity theory ⋮ 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 ⋮ Flexural waves in nonlocal strain gradient high-order shear beam mounted on fractional-order viscoelastic Pasternak foundation ⋮ 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

Cites Work

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