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Size dependent strength of nanostructures

Dear all,


In recent years, it was suggested that the strength of nanoscale
structures increases with speciman size as a power-law. This has been demonstrated
many times for pillars, both experimentally and in discrete dislocation
dynamics simulations. Various values for the power-law exponent in pillars were
obtained, and most of them are about -0.6. However, I did not manage to find
any theory which explains both this typical behavior and the values of the exponent.
Is it a phenomenological law? If not, can anyone refer me a detailed model?


Thank you in advance,


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