Treatment of elastically restrained ends for beam buckling in finite difference, microstructured and nonlocal beam models

DOI10.1007/s00707-014-1195-0zbMath1323.74047OpenAlexW2038072476MaRDI QIDQ2262827

Yanyan Li

Publication date: 16 March 2015

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

Full work available at URL: https://doi.org/10.1007/s00707-014-1195-0

Mathematics Subject Classification ID

Rods (beams, columns, shafts, arches, rings, etc.) (74K10) Bifurcation and buckling (74G60) Finite difference methods applied to problems in solid mechanics (74S20)

Related Items (2)

On boundary conditions for buckling and vibration of nonlocal beams ⋮ Euler elastica as a Γ-limit of discrete bending energies of one-dimensional chains of atoms

Cites Work

• Discrete systems behave as nonlocal structural elements: bending, buckling and vibration analysis
• On nonconservativeness of Eringen's nonlocal elasticity in beam mechanics: correction from a discrete-based approach
• Accuracy of the finite difference method in stochastic setting
• Analytical length scale calibration of nonlocal continuum from a microstructured buckling model

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