Transverse shear and normal deformation effects on vibration behaviors of functionally graded micro-beams

DOI10.1007/s10483-020-2662-6zbMath1457.74086OpenAlexW3043954347MaRDI QIDQ2659460

Yanyan Li

Publication date: 26 March 2021

Published in: AMM. Applied Mathematics and Mechanics. (English Edition) (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10483-020-2662-6

zbMATH Keywords

general boundary conditionvibrationsize effectmodified strain gradient theoryfunctionally graded (FG) micro-beamquasi-three dimensional theory

Mathematics Subject Classification ID

Rods (beams, columns, shafts, arches, rings, etc.) (74K10) Vibrations in dynamical problems in solid mechanics (74H45) Micromechanics of solids (74M25) Composite and mixture properties (74E30)

Related Items (3)

Vibration analysis of two-dimensional structures using micropolar elements ⋮ INVESTIGATION OF THE INFLUENCE OF AN INTERMEDIATE HINGE SUPPORT IN THE PROBLEM OF BENDING OF AN ELASTICALLY RESTRAINED ORTHOTROPIC BEAM ⋮ Mixed variational principle for micropolar elasticity and an accurate two-dimensional plate model

Uses Software

• MUL2

Cites Work

• Buckling analysis of functionally graded microbeams based on the strain gradient theory
• Experiments and theory in strain gradient elasticity.
• Bending and vibration of functionally graded microbeams using a new higher order beam theory and the modified couple stress theory
• Bending and vibration of functionally graded sinusoidal microbeams based on the strain gradient elasticity theory
• Instability of functionally graded micro-beams via micro-structure-dependent beam theory
• Couple stress based strain gradient theory for elasticity
• On first strain-gradient theories in linear elasticity
• Effects of couple-stresses in linear elasticity
• A reformulation of strain gradient plasticity.

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