Exact solutions for the bending of Timoshenko beams using Eringen’s two-phase nonlocal model
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Publication:3300719
DOI10.1177/1081286517750008zbMath1444.74034OpenAlexW2783314479MaRDI QIDQ3300719
Zhi-Mei Lou, Xiaowu Zhu, Yuanbin Wang, Kai Huang
Publication date: 29 July 2020
Published in: Mathematics and Mechanics of Solids (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1177/1081286517750008
Rods (beams, columns, shafts, arches, rings, etc.) (74K10) Analytic approximation of solutions (perturbation methods, asymptotic methods, series, etc.) of equilibrium problems in solid mechanics (74G10) Explicit solutions of equilibrium problems in solid mechanics (74G05)
Related Items (12)
On well-posedness of two-phase nonlocal integral models for higher-order refined shear deformation beams ⋮ Free vibration analysis of nonlocal nanobeams: a comparison of the one-dimensional nonlocal integral Timoshenko beam theory with the two-dimensional nonlocal integral elasticity theory ⋮ A nonlocal surface theory for surface-bulk interactions and its application to mechanics of nanobeams ⋮ On the consistency of two-phase local/nonlocal piezoelectric integral model ⋮ An analytical model for predicting equivalent elastic moduli of micro/nano-honeycombs with nonlocal effects ⋮ Analytical solutions of static bending of curved Timoshenko microbeams using Eringen's two‐phase local/nonlocal integral model ⋮ On bending consistency of Timoshenko beam using differential and integral nonlocal strain gradient models ⋮ Approximate closed-form solutions for vibration of nano-beams of local/non-local mixture ⋮ Free vibrations of nonlocally elastic rods ⋮ A research into bi-Helmholtz type of nonlocal elasticity and a direct approach to Eringen's nonlocal integral model in a finite body ⋮ Size-dependent nonlinear post-buckling analysis of functionally graded porous Timoshenko microbeam with nonlocal integral models ⋮ Nonlocal gradient integral models with a bi-Helmholtz averaging kernel for functionally graded beams
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