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Utilization of peridynamic theory for modeling at the nano-scale

Oterkus, E. and Diyaroglu, C. and Zhu, N. and Oterkus, Selda and Madenci, E. (2015) Utilization of peridynamic theory for modeling at the nano-scale. In: Nanopackaging: From Nanomaterials to the Atomic Scale. Advances in atom and single molecule machines . Springer, pp. 1-16. ISBN 9783319211930

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Peridynamic theory is a new continuum mechanics formulation that has several advantages over the traditional approaches, such as Classical Continuum Mechanics (CCM) and Molecular Dynamics (MD). Due to its length-scale parameter, horizon, it is capable of capturing phenomena occurring at different length scales, including the nano-scale. Furthermore, van der Waals forces can be represented in a straightforward manner using a buffer-layer approach. In this chapter, various demonstration problems are presented to show the capability of peridynamics at the nano-scale, including nano-indentation and failure analysis of graphene sheets.