Solutions to a phase‐field model for martensitic phase transformations driven by configurational forces

2021 ◽  
Vol 146 (3) ◽  
pp. 730-752
Author(s):  
Fan Wu ◽  
Xingzhi Bian ◽  
Lixian Zhao
Keyword(s):  
Phase Transformations ◽  
Phase Field ◽  
Field Model ◽  
Phase Field Model ◽  
Martensitic Phase ◽  
Configurational Forces ◽  
Martensitic Phase Transformations

Multiphase Phase-Field Approach for Virtual Melting: A Brief Review

2021 ◽  
Vol 18 (2) ◽  
pp. 102-107
Author(s):  
Arunabha Mohan Roy
Keyword(s):  
Phase Transformations ◽  
Phase Field ◽  
Field Model ◽  
Solid Phase ◽  
Scale Effects ◽  
Phase Field Model ◽  
Short Review ◽  
Nanoscale Material ◽  
Material Parameters ◽  
Field Approach

A short review on a thermodynamically consistent multiphase phase-field approach for virtual melting has been presented. The important outcomes of solid-solid phase transformations via intermediate melt have been discussed for HMX crystal. It is found out that two nanoscale material parameters and solid-melt barrier term in the phase-field model significantly affect the mechanism of PTs, induces nontrivial scale effects, and changes PTs behaviors at the nanoscale during virtual melting.

Isogeometric Analysis of 3D Dynamic Thermo-Mechanical Phase-Field Model for Cubic-to-Tetragonal Phase Transformations in Shape Memory Alloys

2015 ◽  
Author(s):  
Rakesh Dhote ◽  
Kamran Behdinan
Keyword(s):  
Shape Memory ◽  
Phase Transformations ◽  
Phase Field ◽  
Isogeometric Analysis ◽  
Domain Walls ◽  
Landau Theory ◽  
Phase Field Model ◽  
Diffuse Interface ◽  
Free Energy Function ◽  
Martensitic Phase Transformations

In this paper, we study the dynamic thermo-mechanical behaviors of 3D shape memory alloy (SMA) nanostructures using the phase-field (PF) model. The PF model is based on the Ginzburg-Landau theory and requires a non-convex free energy function for an adequate description of the cubic-to-tetragonal martensitic phase transformations. We have developed a model that includes domain walls, treated as a diffuse interface, which leads to a fourth-order differential equation in a strain-based order parameter PF model. Arising numerical challenges have been overcome based on an isogeometric analysis (IGA) framework. Microstructure morphology evolution and consequent thermo-mechanical properties have been studied on SMA nanostructures of different geometries. The numerical results are in agreement with experimental observations. The developed coupled dynamic model has provided a better understanding of underlying microstructures and behaviors, which can be used for development of better SMA-based devices.

scholarly journals Experimental Calibration of a Cahn-Hilliard Phase-Field Model for Phase Transformations in Li-Sn Electrodes

2016 ◽  
Vol 163 (13) ◽  
pp. A2647-A2659 ◽  
Author(s):  
Srivatsan Hulikal ◽  
Chun-Hao Chen ◽  
Eric Chason ◽  
Allan Bower
Keyword(s):  
Phase Transformations ◽  
Phase Field ◽  
Field Model ◽  
Phase Field Model ◽  
Experimental Calibration
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