New Phase-Field Models for Phase Transitions in Elastic Solids Driven by Configurational Forces

2014 ◽  
Vol 2 (4) ◽  
pp. 320-328
Author(s):  
Peicheng Zhu
Keyword(s):  
Phase Transitions ◽  
Phase Field ◽  
Configurational Forces ◽  
Elastic Solids ◽  
Phase Field Models ◽  
New Phase

Mathematical Models for Solid-Solid Phase Transitions Driven by Configurational Forces

2013 ◽  
Vol 774-776 ◽  
pp. 488-492
Author(s):  
Pei Cheng Zhu
Keyword(s):  
Phase Transitions ◽  
Mathematical Models ◽  
Shape Memory ◽  
Phase Field ◽  
Mean Curvature ◽  
Solid Phase ◽  
Configurational Forces ◽  
Two Phase ◽  
Phase Field Models ◽  
Martensitic Phase Transformations

Two phase-field models for solid-solid phase transitions driven by configurational forces are reviewed, and the formulation of the models is briefly presented for the non-conserved case, as an example. Applications include martensitic phase transformations in, e.g., shape memory alloys and sintering in ceramic producing. They are compared with two other famous models for phase transitions that are driven by mean curvature.

scholarly journals Phase-field modeling of geologic fracture incorporating pressure-dependence and frictional contact

2020 ◽  
Vol 205 ◽  
pp. 03004
Author(s):  
Jinhyun Choo ◽  
Fan Fei
Keyword(s):  
Pressure Dependence ◽  
Phase Field ◽  
Frictional Contact ◽  
Induced Earthquakes ◽  
Phase Field Modeling ◽  
Phase Field Models ◽  
Fracture Simulation ◽  
Field Modeling ◽  
Geologic Fractures ◽  
New Phase

Geologic fractures such as joints and faults are central to many problems in energy geotechnics. Notable examples include hydraulic fracturing, injection-induced earthquakes, and geologic carbon storage. Nevertheless, our current capabilities for simulating the development and evolution of geologic fractures in these problems are still insufficient in terms of efficiency and accuracy. Recently, phase-field modeling has emerged as an efficient numerical method for fracture simulation which does not require any algorithm for tracking the geometry of fracture. However, existing phase-field models of fracture neglected two distinct characteristics of geologic fractures, namely, the pressure-dependence and frictional contact. To overcome these limitations, new phase-field models have been developed and described in this paper. The new phase-field models are demonstrably capable of simulating pressure-dependent, frictional fractures propagating in arbitrary directions, which is a notoriously challenging task.

Fracture of thermo-elastic solids: Phase-field modeling and new results with an efficient monolithic solver

2021 ◽  
Vol 376 ◽  
pp. 113648
Author(s):  
Tushar Kanti Mandal ◽  
Vinh Phu Nguyen ◽  
Jian-Ying Wu ◽  
Chi Nguyen-Thanh ◽  
Alban de Vaucorbeil
Keyword(s):  
Phase Field ◽  
Elastic Solids ◽  
Phase Field Modeling ◽  
Field Modeling ◽  
Monolithic Solver

scholarly journals Creating polar antivortex in PbTiO3/SrTiO3 superlattice

2021 ◽  
Vol 12 (1) ◽  
Author(s):  
Adeel Y. Abid ◽  
Yuanwei Sun ◽  
Xu Hou ◽  
Congbing Tan ◽  
Xiangli Zhong ◽  
...  
Keyword(s):  
Phase Transitions ◽  
Phase Field ◽  
Driving Force ◽  
Topological Phase ◽  
Phase Field Simulation ◽  
Topological Structures ◽  
Field Simulation ◽  
Condensed Matters ◽  
Topological Phase Transitions ◽  
Insight Into

AbstractNontrivial topological structures offer a rich playground in condensed matters and promise alternative device configurations for post-Moore electronics. While recently a number of polar topologies have been discovered in confined ferroelectric PbTiO3 within artificially engineered PbTiO3/SrTiO3 superlattices, little attention was paid to possible topological polar structures in SrTiO3. Here we successfully create previously unrealized polar antivortices within the SrTiO3 of PbTiO3/SrTiO3 superlattices, accomplished by carefully engineering their thicknesses guided by phase-field simulation. Field- and thermal-induced Kosterlitz–Thouless-like topological phase transitions have also been demonstrated, and it was discovered that the driving force for antivortex formation is electrostatic instead of elastic. This work completes an important missing link in polar topologies, expands the reaches of topological structures, and offers insight into searching and manipulating polar textures.

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