Phase-field approach to studying shape memory effects and thermomechanical properties of low dimensional nanostructures

Authors:
Roderick Melnik;Linxiang Wang
Affiliations:
Wilfrid Laurier University, M2NeT Laboratory, Department of Mathematics, Waterloo, ON, Canada;Hangzhou Dianzi University, Faculty of Mechanical Engineering, Xiasha, Hangzhou, P.R. China
Venue:
NANOTECHNOLOGY'10 Proceedings of the 2nd WSEAS international conference on Nanotechnology
Year:
2010

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Abstract

We focus on the development of mesoscopic models for the description of strongly nonlinear coupled thermomechanical effects, such as shape memory effects, in low dimensional nanostructures. The main model is a result of the phase-field approach which we extend to the present problems from our previous works on ferroelectrics. The resulting coupled system of partial differential equations is solved based on a combination of the Chebyshev collocation method and the extended proper orthogonal decomposition. The developed model and its numerical implementation allow us to study properties of nanostructures and we present macrostructure computations for nanowires and nanoplates.