The comparison of strain gradient effects for each component in static and dynamic analyses of FGM micro-beams

DOI10.1007/S00707-018-2192-5zbMath1398.74192OpenAlexW2809007937MaRDI QIDQ1798624

Yanyan Li

Publication date: 23 October 2018

Published in: Acta Mechanica (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00707-018-2192-5

Mathematics Subject Classification ID

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

Related Items (5)

Nonlinear axisymmetric bending analysis of strain gradient thin circular plate ⋮ A size‐dependent Bernoulli‐Euler beam model based on strain gradient elasticity theory incorporating surface effects ⋮ Elastic buckling and free vibration of nonlocal strain gradient Euler‐Bernoulli beams using Laplace transform ⋮ Free vibration analysis of graded porous circular micro/nanoplates with various boundary conditions based on the nonlocal elasticity theory ⋮ Weak-form differential quadrature finite elements for functionally graded micro-beams with strain gradient effects

Cites Work

• Unnamed Item
• Axisymmetric bending of strain gradient elastic circular thin plates
• Microstructure-dependent couple stress theories of functionally graded beams
• Buckling analysis of functionally graded microbeams based on the strain gradient theory
• Size-dependent free vibration analysis of composite laminated Timoshenko beam based on new modified couple stress theory
• Size-dependent vibration of functionally graded curved microbeams based on the modified strain gradient elasticity theory
• The size-dependent natural frequency of Bernoulli-Euler micro-beams
• Elastic materials with couple-stresses
• On the role of gradients in the localization of deformation and fracture
• Experiments and theory in strain gradient elasticity.
• Nonlinear free vibration of size-dependent functionally graded microbeams
• A strain gradient functionally graded Euler-Bernoulli beam formulation
• Couple stress based strain gradient theory for elasticity
• A comparison of strain gradient theories with applications to the functionally graded circular micro-plate
• Strain gradient effects on the thermoelastic analysis of a functionally graded micro-rotating cylinder using generalized differential quadrature method
• A nonlinear strain gradient finite element for microbeams and microframes
• On first strain-gradient theories in linear elasticity
• Effects of couple-stresses in linear elasticity
• Micro-structure in linear elasticity
• A reformulation of strain gradient plasticity.

This page was built for publication: The comparison of strain gradient effects for each component in static and dynamic analyses of FGM micro-beams