Browsing Mathematical Modelling with Multidisciplinary Applications (M3A) by Author "Dhote, R.P."
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Microstructures of constrained shape memory alloy nanowires under thermal effects
Dhote, R.P.; Melnik, R.
; Zu, J.W.; Wang, L. (2010-12-31)
In this paper, martensitic transformations in constrained Fe-Pd nanowires are studied using a mesoscopic model analyzed in detail numerically in our earlier papers. The dynamics of squareto-rectangular transformation is ... -
Numerical analysis of complex systems evolution with phase transformations at different spatial scales
Melnik, R.; Dhote, R.P.; Zu, J.; Tsviliuk, O.I.; Wang, L.X. (2010-12-31)
This paper shows the existence of a critical dimension for finite length nanowires exhibiting shape memory effects. We give a brief survey of phase transformations, their classifications, and provide the basis of mathematical ...