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Title: Exact solutions for a coupled nonlocal model of nanobeams

BERNOULLI-EULER nanobeams under concentrated forces/couples with the nonlocal constitutive behavior proposed by ERINGEN do not exhibit small-scale effects. A new model obtained by coupling the ERINGEN and gradient models is formulated in the present note. A variational treatment is developed by imposing suitable thermodynamic restrictions for nonlocal models and the ensuing differential and boundary conditions of elastic equilibrium are provided. The nonlocal elastostatic problem is solved in a closed-form for nanocantilever and clamped nanobeams.
Authors:
;  [1]
  1. Department of Structures for Engineering and Architecture, via Claudio 21, 80125 Naples (Italy)
Publication Date:
OSTI Identifier:
22307974
Resource Type:
Journal Article
Resource Relation:
Journal Name: AIP Conference Proceedings; Journal Volume: 1618; Journal Issue: 1; Conference: ICCMSE 2014: International conference on computational methods in science and engineering 2014, Athens (Greece), 4-7 Apr 2014; Other Information: (c) 2014 AIP Publishing LLC; Country of input: International Atomic Energy Agency (IAEA)
Country of Publication:
United States
Language:
English
Subject:
71 CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS; BOUNDARY CONDITIONS; COUPLING; EQUILIBRIUM; EXACT SOLUTIONS; MATHEMATICAL MODELS; THERMODYNAMICS; VARIATIONAL METHODS