Euler-Bernoulli Nanobeam Welded to a Compressible Semi-Infinite Substrate
The contact problem of an Euler-Bernoulli nanobeam of finite length bonded to a homogeneous elastic half plane is studied in the present work. Both the beam and the half plane are assumed to display a linear elastic behaviour under infinitesimal strains. The analysis is performed under plane strain...
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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/10.1155/2016/8574129 |
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| _version_ | 1849407435883675648 |
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| author | Pietro Di Maida Federico Oyedeji Falope |
| author_facet | Pietro Di Maida Federico Oyedeji Falope |
| author_sort | Pietro Di Maida |
| collection | DOAJ |
| description | The contact problem of an Euler-Bernoulli nanobeam of finite length bonded to a homogeneous elastic half plane is studied in the present work. Both the beam and the half plane are assumed to display a linear elastic behaviour under infinitesimal strains. The analysis is performed under plane strain condition. Owing to the bending stiffness of the beam, shear and peeling stresses arise at the interface between the beam and the substrate within the contact region. The investigation allows evaluating the role played by the Poisson ratio of the half plane (and, in turn, its compressibility) on the beam-substrate mechanical interaction. Different symmetric and skew-symmetric loading conditions for the beam are considered, with particular emphasis to concentrated transversal and horizontal forces and couples acting at its edges. It is found that the Poisson ratio of the half plane affects the behaviour of the interfacial stress field, particularly at the beam edges, where the shear and peel stresses are singular. |
| format | Article |
| id | doaj-art-4440268ae8f2449dbc3bbea37d9b416d |
| 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-4440268ae8f2449dbc3bbea37d9b416d2025-08-20T03:36:03ZengWileyModelling and Simulation in Engineering1687-55911687-56052016-01-01201610.1155/2016/85741298574129Euler-Bernoulli Nanobeam Welded to a Compressible Semi-Infinite SubstratePietro Di Maida0Federico Oyedeji Falope1Department of Sciences and Methods for Engineering (DISMI), University of Modena and Reggio Emilia, Via Amendola 2, 42122 Reggio Emilia, ItalyDepartment of Engineering Enzo Ferrari (DIEF), University of Modena and Reggio Emilia, Via P. Vivarelli 10, Int 27, 41125 Modena, ItalyThe contact problem of an Euler-Bernoulli nanobeam of finite length bonded to a homogeneous elastic half plane is studied in the present work. Both the beam and the half plane are assumed to display a linear elastic behaviour under infinitesimal strains. The analysis is performed under plane strain condition. Owing to the bending stiffness of the beam, shear and peeling stresses arise at the interface between the beam and the substrate within the contact region. The investigation allows evaluating the role played by the Poisson ratio of the half plane (and, in turn, its compressibility) on the beam-substrate mechanical interaction. Different symmetric and skew-symmetric loading conditions for the beam are considered, with particular emphasis to concentrated transversal and horizontal forces and couples acting at its edges. It is found that the Poisson ratio of the half plane affects the behaviour of the interfacial stress field, particularly at the beam edges, where the shear and peel stresses are singular.http://dx.doi.org/10.1155/2016/8574129 |
| spellingShingle | Pietro Di Maida Federico Oyedeji Falope Euler-Bernoulli Nanobeam Welded to a Compressible Semi-Infinite Substrate Modelling and Simulation in Engineering |
| title | Euler-Bernoulli Nanobeam Welded to a Compressible Semi-Infinite Substrate |
| title_full | Euler-Bernoulli Nanobeam Welded to a Compressible Semi-Infinite Substrate |
| title_fullStr | Euler-Bernoulli Nanobeam Welded to a Compressible Semi-Infinite Substrate |
| title_full_unstemmed | Euler-Bernoulli Nanobeam Welded to a Compressible Semi-Infinite Substrate |
| title_short | Euler-Bernoulli Nanobeam Welded to a Compressible Semi-Infinite Substrate |
| title_sort | euler bernoulli nanobeam welded to a compressible semi infinite substrate |
| url | http://dx.doi.org/10.1155/2016/8574129 |
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