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Motta, Antonella |
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Mohamed, Tarek |
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Ali, M. A. |
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Rančić, M. |
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Azevedo, Nuno Monteiro |
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Oberaigner, E. R.
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document
A space-time concept for martensitic phase transformation based on statistical physics
Abstract
<p>Understanding martensitic phase transformation (MPT) is of crucial importance for many engineering applications. Especially in polycrystalline shape memory alloys and steels one can observe phase transformations on several length and time scales. Those are firstly the atomistic length scale (nano scale, nm) and the scale of the crystallites (micro scale, μm), which, in turn, have a certain size and orientation distribution. The transformation kinetics is described on the mesoscale (mm), where an averaging of physical properties is useful and possible within the representative volume element (RVE). A proper handling of the relevant physical properties within the RVE allows to incorporate effective material laws for computations on the macroscale (m). The present study focuses mainly on the aspect of deriving the relevant physical properties on the mesoscale from atomistic and single crystal properties, i.e., on closing the gap in modelling MPT between the nano-and microscale resp., and the macroscale. It is shown that no assumptions of kinetic laws of internal variables are necessary, these laws can rather be derived by ab initio calculations using the concepts from statistical physics. © 2011 American Institute of Physics.</p>