A real-space and constraint-free phase field model for the microstructure of ferromagnetic shape memory alloys

2017 ◽  
pp. 53-68
Author(s):  
M. Yi ◽  
B.-X Xu
Keyword(s):  
Shape Memory Alloys ◽  
Shape Memory ◽  
Phase Field ◽  
Field Model ◽  
Phase Field Model ◽  
Real Space ◽  
Ferromagnetic Shape Memory Alloys ◽  
Ferromagnetic Shape Memory

Isogeometric analysis of a dynamic thermo-mechanical phase-field model applied to shape memory alloys

2014 ◽  
Vol 53 (6) ◽  
pp. 1235-1250 ◽  
Author(s):  
R. P. Dhote ◽  
H. Gomez ◽  
R. N. V. Melnik ◽  
J. Zu
Keyword(s):  
Shape Memory Alloys ◽  
Shape Memory ◽  
Phase Field ◽  
Isogeometric Analysis ◽  
Field Model ◽  
Phase Field Model

Phase Field Dynamic Modelling of Shape Memory Alloys Based on Isogeometric Analysis

2012 ◽  
Vol 78 ◽  
pp. 63-68 ◽  
Author(s):  
Rakesh Dhote ◽  
Hector Gomez ◽  
Roderick Melnik ◽  
Jean Zu
Keyword(s):  
Shape Memory Alloys ◽  
Numerical Simulations ◽  
Shape Memory ◽  
Microstructure Evolution ◽  
Phase Field ◽  
Isogeometric Analysis ◽  
Field Model ◽  
Phase Field Model ◽  
Higher Order ◽  
Martensitic Phase Transformations

Shape Memory Alloys (SMAs) exhibit complex behaviors as a result of their constituent phases and microstructure evolution. In this paper, we focus on the numerical simulations of microstructure evolution in SMAs using a phase-field model for the two dimensional square-to-rectangular martensitic phase transformations. The phase-field model, based on the Ginzburg-Landau theory, has strong non-linearity, thermo-mechanical coupling, and higher-order differential terms and presents substantial challenges for numerical simulations. The isogeometric analysis, developed in this paper using the rich NURBS basis functions, offers several advantages in solving such complex problems with higher-order partial differential equations as the problem at hand. To our best knowledge, we report here for the first time the use of the new method in the study of microstructure evolution in SMAs. The numerical experiments of microstructure evolution have been carried out on the FePd SMA specimen. The results are in good agreement with those previously reported in the literature.

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