Motivated by the progress in nanoengineering over the past years, novel experimental approaches to characterise the material behaviour on the nanoscale have been developed which indicate that the material response on the nanoscale does not have to be identical with the one observed on the macro scale, i.e. size effects occur. However, experiments at the nanoscale are expensive and difficult to conduct, therefore necessitates the development of sophisticated modelling approaches which allow for predictive simulations at these scales. Regarding experimental findings on one‐dimensional nano‐materials presented in e.g. , and adopting the higher‐order gradient based modelling framework proposed in , the development of a fibre‐curvature based contribution to the stored energy function which results into well‐interpretable contributions to the stress‐ and to the couple stress tensor is presented. (© 2017 Wiley‐VCH Verlag GmbH & Co. KGaA, Weinheim)
Proceedings in Applied Mathematics & Mechanics – Wiley
Published: Jan 1, 2017
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