Until now, nanoscale materials have no standard theory that can describe their mechanical properties. What are the best theories that might be good candidate for this mission?
Dear Sadeem, really do not exist a general theory for nanomaterials. In all cases of modeling there are a previous selection of the property, in this mechanical. If your interest is directed from material science, with mechanical property studied in large scale, is interesting to apply molecular dynamic or statistic mechanic; but, if you is interesting in molecular interactions to understand the mechanic property, would be better applying quantum mechanic.
Thank you for your suggestion. I want to open discussion in that subject. Even if there is no standard theory describing mechanical properties, but I think discussing the subject may lead to better understanding.
As a beginning, an inverse Hall–Petch effect has been observed for nanocrystalline materials by a large number of researchers. Any one has an idea why that happened?
You may also see these for further information on mechanical properties of nano-crystalline materials
1) Presentation by R.W. Armstrong on: "60 years of Hall-Petch: Past to Present, Nano-Scale Connections" by R.W. Armstrong: please use the link if you have access: "http://www.cecd.umd.edu/documents/presentations/armstrong-60-years-hall-petch.pdf
2) "Nanocrystalline Materials" by H. Gleiter, Progress in Materials Science, 1989, vol. 33, pp. 223-315
3) "Mechanical Properties of Nanocrystalline Materials" , Edited by James C.M. Li, 2011, Pan Stanford Publishing Pte. Ltd.
There is a new work that tries to combine both the Hall-Petch and its inverse in one model through presenting a multiscale model that enables description of both the Hall-Petch relation and its inverse in one equation without the need of prior knowledge of the grain size distribution, for more details, please see the following link: