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Molecular
dynamics-based continuum models for the linear elasticity of
nanofilms and nanowires with anisotropic surface effects
Wonbae Kim, Seung Yun Rhee and Maenghyo Cho |
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Vol. 7 (2012), No. 7, 613–639
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Abstract |
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A continuum-based sequential multiscale model is presented for application to nanofilms and nanowires with anisotropic surfaces. The surface effect is accounted for via the inclusion of surface energy due to surface stress and surface strain in the internal energy. For anisotropic surfaces such as a <110> surface, a linear surface elasticity model is used instead of the isotropic surface elasticity model proposed by Gurtin and Murdoch. A molecular dynamics simulation is performed in order to calculate initial surface stress and surface elastic tensor. Equilibrium strain and size-dependent elasticity are estimated by the proposed continuum model. |
Keywords
surface effects, sequential multiscale model, finite
element method, nanofilm, nanowire, size-dependent
elasticity, molecular dynamics simulation
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Milestones
Received: 9 June 2011
Revised: 1 June 2012
Accepted: 18 June 2012
Published: 4 January 2013
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Authors |
| Wonbae Kim | |
| Division of WCU Multiscale
Mechanical Design, School of Mechanical and Aerospace
Engineering Seoul National University Seoul 151-744 South Korea |
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| Seung Yun Rhee | |
| Aircraft Certification Team,
Aerospace Safety and Certification Center Korea Aerospace Research Institute 169-84 Gwahangno Yuseong-gu Daejeon 305-806 South Korea |
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| Maenghyo Cho | |
| Division of WCU Multiscale
Mechanical Design, School of Mechanical and Aerospace
Engineering Seoul National University Seoul 151-744 South Korea |
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| http://ssnd.snu.ac.kr/members/professor.html | |
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