On Bending of Bernoulli-Euler Nanobeams for Nonlocal Composite Materials
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 innovati...
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| Format: | Article |
| Language: | English |
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Wiley
2016-01-01
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| Series: | Modelling and Simulation in Engineering |
| Online Access: | http://dx.doi.org/10.1155/2016/6369029 |
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| _version_ | 1832549296507977728 |
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| author | Luciano Feo Rosa Penna |
| author_facet | Luciano Feo Rosa Penna |
| author_sort | Luciano Feo |
| collection | DOAJ |
| description | 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. |
| format | Article |
| id | doaj-art-2bf1b71668d74e068c8654b60d50d8b6 |
| institution | Kabale University |
| issn | 1687-5591 1687-5605 |
| language | English |
| publishDate | 2016-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Modelling and Simulation in Engineering |
| spelling | doaj-art-2bf1b71668d74e068c8654b60d50d8b62025-02-03T06:11:33ZengWileyModelling and Simulation in Engineering1687-55911687-56052016-01-01201610.1155/2016/63690296369029On Bending of Bernoulli-Euler Nanobeams for Nonlocal Composite MaterialsLuciano Feo0Rosa Penna1Department of Civil Engineering, University of Salerno, Via Giovanni Paolo II, 132, 84084 Fisciano, ItalyDepartment of Civil Engineering, University of Salerno, Via Giovanni Paolo II, 132, 84084 Fisciano, ItalyEvaluation 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.http://dx.doi.org/10.1155/2016/6369029 |
| spellingShingle | Luciano Feo Rosa Penna On Bending of Bernoulli-Euler Nanobeams for Nonlocal Composite Materials Modelling and Simulation in Engineering |
| title | On Bending of Bernoulli-Euler Nanobeams for Nonlocal Composite Materials |
| title_full | On Bending of Bernoulli-Euler Nanobeams for Nonlocal Composite Materials |
| title_fullStr | On Bending of Bernoulli-Euler Nanobeams for Nonlocal Composite Materials |
| title_full_unstemmed | On Bending of Bernoulli-Euler Nanobeams for Nonlocal Composite Materials |
| title_short | On Bending of Bernoulli-Euler Nanobeams for Nonlocal Composite Materials |
| title_sort | on bending of bernoulli euler nanobeams for nonlocal composite materials |
| url | http://dx.doi.org/10.1155/2016/6369029 |
| work_keys_str_mv | AT lucianofeo onbendingofbernoullieulernanobeamsfornonlocalcompositematerials AT rosapenna onbendingofbernoullieulernanobeamsfornonlocalcompositematerials |