On Bending of Bernoulli-Euler Nanobeams for Nonlocal Composite Materials | Zendy

Luciano Feo | Zendy; Rosa Penna | Zendy

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On Bending of Bernoulli-Euler Nanobeams for Nonlocal Composite Materials

Author(s) -

Luciano Feo,

Rosa Penna

Publication year - 2016

Publication title -

modelling and simulation in engineering

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.264

H-Index - 20

eISSN - 1687-5591

pISSN - 1687-5605

DOI - 10.1155/2016/6369029

Subject(s) - boundary value problem , bernoulli's principle , classical mechanics , quantum nonlocality , bending , physics , bending moment , differential equation , euler's formula , constitutive equation , mechanics , mathematical analysis , mathematics , finite element method , quantum mechanics , quantum entanglement , quantum , thermodynamics

Evaluation of size effects in functionally graded elastic nanobeams is carried out by making recourse to the nonlocal continuum mechanics. The Bernoulli-Euler kinematic assumption and the Eringen nonlocal constitutive law are assumed in the formulation of the elastic equilibrium problem. An innovative methodology, characterized by a lowering in the order of governing differential equation, is adopted in the present manuscript in order to solve the boundary value problem of a nanobeam under flexure. Unlike standard treatments, a second-order differential equation of nonlocal equilibrium elastic is integrated in terms of transverse displacements and equilibrated bending moments. Benchmark examples are developed, thus providing the nonlocality effect in nanocantilever and clampled-simply supported nanobeams for selected values of the Eringen scale parameter

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