On well-posedness of two-phase nonlocal integral models for higher-order refined shear deformation beams

DOI10.1007/S10483-021-2750-8zbMath1479.74081OpenAlexW3174791785MaRDI QIDQ825393

Hai Qing, Pei Zhang

Publication date: 17 December 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/s10483-021-2750-8

zbMATH Keywords

functionally graded materialwell-posednessgeneralized differential quadrature methodrefined shear deformation theorystrain-stress driven two-phase nonlocal model

Mathematics Subject Classification ID

Rods (beams, columns, shafts, arches, rings, etc.) (74K10) Inhomogeneity in solid mechanics (74E05) Numerical and other methods in solid mechanics (74S99)

Related Items (4)

Nonlocal integral elasticity for third-order small-scale beams ⋮ Well-posedness of two-phase local/nonlocal integral polar models for consistent axisymmetric bending of circular microplates ⋮ An analytical model for predicting equivalent elastic moduli of micro/nano-honeycombs with nonlocal effects ⋮ Size-dependent nonlinear post-buckling analysis of functionally graded porous Timoshenko microbeam with nonlocal integral models

Cites Work

• Nonlocal elasticity in nanobeams: the stress-driven integral model
• Size-dependent vibration analysis of nanobeams based on the nonlocal strain gradient theory
• Novel differential quadrature element method for vibration analysis of hybrid nonlocal Euler-Bernoulli beams
• Thermal buckling and post-buckling analysis of functionally graded beams based on a general higher-order shear deformation theory
• A nonlocal strain gradient shell model incorporating surface effects for vibration analysis of functionally graded cylindrical nanoshells
• A unified size-dependent plate model based on nonlocal strain gradient theory including surface effects
• Analytical solutions for buckling of size-dependent Timoshenko beams
• Linear theory of nonlocal elasticity and dispersion of plane waves
• On nonlocal elasticity
• Exact solutions for the bending of Timoshenko beams using Eringen’s two-phase nonlocal model

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