Utilization of peridynamic theory for modeling at the nano-scale

Tools

Oterkus, E. and Diyaroglu, C. and Zhu, N. and Oterkus, Selda and Madenci, E.; Baillin, Xavier and Joachim, Christian and Poupon, Gilles, eds. (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, FRA, pp. 1-16. ISBN 9783319211930 (https://doi.org/10.1007/978-3-319-21194-7)

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Abstract

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.

ORCID iDs

Oterkus, E. ORCID logoORCID: https://orcid.org/0000-0002-4614-7214, Diyaroglu, C. ORCID logoORCID: https://orcid.org/0000-0002-9907-4661, Zhu, N. ORCID logoORCID: https://orcid.org/0000-0001-5715-122X, Oterkus, Selda ORCID logoORCID: https://orcid.org/0000-0003-0474-0279 and Madenci, E.; Baillin, Xavier, Joachim, Christian and Poupon, Gilles
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