The phase-field method in optimal design

被引：0

作者：

Bourdin, Blaise ^{[1
]}

Chambolle, Antonin ^{[2
]}

机构：

[1] Louisiana State Univ, Dept Math, Baton Rouge, LA 70803 USA

[2] Ecole Polytech, CNRS, CMAP, UMR 7641, F-91128 Palaiseau, France

来源：

IUTAM SYMPOSIUM ON TOPOLOGICAL DESIGN OPTIMIZATION OF STRUCTURES, MACHINES AND MATERIALS: STATUS AND PERSPECTIVES | 2006年 / 137卷

关键词：

phase-field; multi-physics optimal design; perimeter penalization;

D O I：

暂无

中图分类号：

TH [机械、仪表工业];

学科分类号：

0802 ;

摘要：

We describe the phase-field method, a new approach to optimal design originally introduced in Bourdin and Chambolle (2000, 2003). It is based on the penalization of the variation of the properties of the designs, and its variational approximation (in the sense of Gamma-convergence. It uses a smooth function, the phase-field, to represent all materials involved. We describe our approach, and detail its application to two problems.

引用

页码：207 / +

页数：3

共 50 条

[1] Optimal topologies derived from a phase-field method
Wallin, Mathias
Ristinmaa, Matti
Askfelt, Henrik
STRUCTURAL AND MULTIDISCIPLINARY OPTIMIZATION, 2012, 45 (02) : 171 - 183
[2] Optimal topologies derived from a phase-field method
Mathias Wallin
Matti Ristinmaa
Henrik Askfelt
Structural and Multidisciplinary Optimization, 2012, 45 : 171 - 183
[3] The optimal time control of a phase-field system
Wang, LJ
Wang, GS
SIAM JOURNAL ON CONTROL AND OPTIMIZATION, 2003, 42 (04) : 1483 - 1508
[4] Nucleation and successive microstructure evolution via phase-field and phase-field crystal method
Prieler, Robert
Li, Daming
Emmerich, Heike
JOURNAL OF CRYSTAL GROWTH, 2010, 312 (08) : 1434 - 1436
[5] Precipitation kinetics of γ′ phase investigated by phase-field method
Sun X.-S.-Y.
Zhao Y.
Lu X.-G.
Sun X.-F.
Zhou L.
Zhongguo Youse Jinshu Xuebao/Chinese Journal of Nonferrous Metals, 2018, 28 (01): : 116 - 125
[6] OPTIMAL DISTRIBUTED CONTROL FOR A COUPLED PHASE-FIELD SYSTEM
Chen, Bosheng
Li, Huilai
Liu, Changchun
DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS-SERIES B, 2022, 27 (03): : 1789 - 1825
[7] Multiphase topology optimization with a single variable using the phase-field design method
Seong, Hong Kyoung
Kim, Cheol Woong
Yoo, Jeonghoon
Lee, Jaewook
INTERNATIONAL JOURNAL FOR NUMERICAL METHODS IN ENGINEERING, 2019, 119 (05) : 334 - 360
[8] Application of phase-field method in rechargeable batteries
Qiao Wang
Geng Zhang
Yajie Li
Zijian Hong
Da Wang
Siqi Shi
npj Computational Materials, 6
[9] Phase-field method of materials microstructures and properties
Chen, Long-Qing
Moelans, Nele
MRS BULLETIN, 2024, 49 (06) : 551 - 555
[10] A phase-field method for boiling heat transfer
Wang, Zhicheng
Zheng, Xiaoning
Chryssostomidis, Chryssostomos
Karniadakis, George Em
JOURNAL OF COMPUTATIONAL PHYSICS, 2021, 435

← 1 2 3 4 5 →