A new multiscale model to describe a modified Hall-Petch relation at different scales for nano and micro materials

A new multiscale model to describe a modified Hall-Petch relation at different scales for nano and micro materials

In the present work, a multiscale model is presented and used to modify the Hall-Petch relation for different scales from nano to micro. The modified Hall-Petch relation is derived from a multiscale equation that determines the cohesive energy between the atoms and their neighboring grains. This bri...

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Hauptverfasser: Fadhil, Sadeem Abbas, Alrawi, Aoday Hashim, Azeez, Jazeel H., Hassan, Mohsen A.
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Hassan, Mohsen A.
description In the present work, a multiscale model is presented and used to modify the Hall-Petch relation for different scales from nano to micro. The modified Hall-Petch relation is derived from a multiscale equation that determines the cohesive energy between the atoms and their neighboring grains. This brings with it a new term that was originally ignored even in the atomistic models. The new term makes it easy to combine all other effects to derive one modified equation for the Hall-Petch relation that works for all scales together, without the need to divide the scales into two scales, each scale with a different equation, as it is usually done in other works. Due to that, applying the new relation does not require a previous knowledge of the grain size distribution. This makes the new derived relation more consistent and easier to be applied for all scales. The new relation is used to fit the data for Copper and Nickel and it is applied well for the whole range of grain sizes from nano to micro scales.
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title A new multiscale model to describe a modified Hall-Petch relation at different scales for nano and micro materials
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