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Портал Begell Электронная Бибилиотека e-Книги Журналы Справочники и Сборники статей Коллекции
International Journal for Multiscale Computational Engineering
Импакт фактор: 1.016 5-летний Импакт фактор: 1.194 SJR: 0.554 SNIP: 0.68 CiteScore™: 1.18

ISSN Печать: 1543-1649
ISSN Онлайн: 1940-4352

Выпуски:
Том 17, 2019 Том 16, 2018 Том 15, 2017 Том 14, 2016 Том 13, 2015 Том 12, 2014 Том 11, 2013 Том 10, 2012 Том 9, 2011 Том 8, 2010 Том 7, 2009 Том 6, 2008 Том 5, 2007 Том 4, 2006 Том 3, 2005 Том 2, 2004 Том 1, 2003

International Journal for Multiscale Computational Engineering

DOI: 10.1615/IntJMultCompEng.v2.i2.70
15 pages

A Virtual Atom Cluster Approach to the Mechanics of Nanostructures

Dong Qian
Department of Mechanical, Industrial and Nuclear Engineering University of Cincinnati, Cincinnati, OH 45221-0072
Rohit H. Gondhalekar
Department of Mechanical, Industrial and Nuclear Engineering University of Cincinnati, Cincinnati, OH 45221-0072

Краткое описание

A virtual atom cluster (VAC) model that represents the effect of interatomic bonding is developed as the constitutive model for crystal systems. In contrast with the crystal elasticity model, the proposed VAC model is distinguished by the following features: i) It does not build any constitutive relations that involve any stress concept, and ii) it does not use the homogeneous deformation assumption, or equivalently, the Born hypothesis. As a consequence of these attributes, the energy density of the system is embedded in the VAC model and directly related to the deformation mapping. The deformation mapping is constructed through the use of meshfree or finite element shape functions. The high-order continuity property of the meshfree shape functions guarantees the accuracy in describing the geometry and thus the energy of the atomic bond. The resulting formulation computationally more efficient than the continuum-based approach. Finally, the robustness of the method is illustrated through example problems involving various nanostructures.