Exact solutions for the static bending of Euler-Bernoulli beams using Eringen’s two-phase local/nonlocal model

• Published in: AIP advances Vol. 6; no. 8; pp. 085114 - 085114-22
• Main Authors: Wang, Y. B., Zhu, X. W., Dai, H. H.
• Format: Journal Article
• Language: English
• Published: Melville American Institute of Physics 01.08.2016; AIP Publishing LLC
• Subjects: ASYMPTOTIC SOLUTIONS; BEAMS; BOUNDARY CONDITIONS; Cantilever beams; CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS; COMPARATIVE EVALUATIONS; DIFFERENTIAL EQUATIONS; Euler-Bernoulli beams; EXACT SOLUTIONS; Integral equations; Mathematical models; MICROSTRUCTURE; Reduction; SIMULATION

Though widely used in modelling nano- and micro- structures, Eringen’s differential model shows some inconsistencies and recent study has demonstrated its differences between the integral model, which then implies the necessity of using the latter model. In this paper, an analytical study is taken t...