Domain evolution in ferroelectric materials: A continuum phase field model and finite element implementation

被引：120

作者：

Schrade, D. ^{[1
]}

Mueller, R. ^{[1
]}

Xu, Bx ^{[1
]}

Gross, D. ^{[1
]}

机构：

[1] Tech Univ Darmstadt, Dept Civil Engn & Geodesy, D-64289 Darmstadt, Hessen, Germany

来源：

COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING | 2007年 / 196卷 / 41-44期

关键词：

phase field model; ferroelectrics; finite elements; micromechanics; configurational forces;

D O I：

10.1016/j.cma.2007.05.010

中图分类号：

T [工业技术];

学科分类号：

08 ;

摘要：

A numerical tool for simulating the polarization distribution in ferroelectric materials is presented. Using the concept of a phase field, a continuum physics model is established which is descretized with finite elements. The main feature of the numerical implementation is an implicit time integration of the non-linear evolution equation. Representative examples and comparison to experimental measurements from the literature show the main features of the model. (c) 2007 Elsevier B.V. All rights reserved.

引用

页码：4365 / 4374

页数：10

共 22 条

[1] Size dependence of domain patterns in a constrained ferroelectric system
Ahluwalia, R
Cao, WW
[J]. JOURNAL OF APPLIED PHYSICS, 2001, 89 (12) : 8105 - 8109
[2] AHLUWALJA R, PHYS REV B, V63, DOI UNSP 012103
[3] Ferroelectric perovskites for electromechanical actuation
Bhattacharya, K
Ravichandran, G
[J]. ACTA MATERIALIA, 2003, 51 (19) : 5941 - 5960
[4] THEORY OF TETRAGONAL TWIN STRUCTURES IN FERROELECTRIC PEROVSKITES WITH A 1ST-ORDER PHASE-TRANSITION
CAO, WW
CROSS, LE
[J]. PHYSICAL REVIEW B, 1991, 44 (01): : 5 - 12
[5] DOMAIN-WALL DYNAMICS IN FERROELECTRIC-FERROELASTIC MOLYBDATES
FLIPPEN, RB
[J]. JOURNAL OF APPLIED PHYSICS, 1975, 46 (03) : 1068 - 1071
[6] Configurational forces and their application in solid mechanics
Gross, D
Kolling, S
Mueller, R
Schmidt, I
[J]. EUROPEAN JOURNAL OF MECHANICS A-SOLIDS, 2003, 22 (05) : 669 - 692
[7] Hughes TJR., 2000, The Finite Element Method
[8] Ferroelectric and ferroelastic piezoceramics - modeling of electromechanical hysteresis phenomena
Kamlah, M
[J]. CONTINUUM MECHANICS AND THERMODYNAMICS, 2001, 13 (04) : 219 - 268
[9] A 2-DIMENSIONAL ANALYSIS OF THE EVOLUTION OF COHERENT PRECIPITATES IN ELASTIC MEDIA
MCCORMACK, M
KHACHATURYAN, AG
MORRIS, JW
[J]. ACTA METALLURGICA ET MATERIALIA, 1992, 40 (02): : 325 - 336
[10] Driving forces on domain walls in ferroelectric materials and interaction with defects
Mueller, R
Gross, D
Lupascu, DC
[J]. COMPUTATIONAL MATERIALS SCIENCE, 2006, 35 (01) : 42 - 52

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