The bean model in superconductivity: Variational formulation and numerical solution

被引:113
作者
Prigozhin, L [1 ]
机构
[1] UNIV OXFORD, OCIAM, INST MATH, OXFORD, ENGLAND
关键词
D O I
10.1006/jcph.1996.0243
中图分类号
TP39 [计算机的应用];
学科分类号
081203 ; 0835 ;
摘要
The Bean critical-state model describes the penetration of magnetic field into type-II superconductors. Mathematically, this is a free boundary problem and its solution is of interest in applied superconductivity. We derive a variational formulation for the Bean model and use it to solve two-dimensional and axially symmetric critical-state problems numerically. (C) 1996 Academic Press, Inc.
引用
收藏
页码:190 / 200
页数:11
相关论文
共 27 条
[1]   FLUX DISTRIBUTION AND HYSTERESIS LOSS IN A ROUND SUPERCONDUCTING WIRE FOR THE COMPLETE RANGE OF FLUX-PENETRATION [J].
ASHKIN, M .
JOURNAL OF APPLIED PHYSICS, 1979, 50 (11) :7060-7066
[2]   ROTATIONAL HYSTERESIS LOSS IN HIGH-FIELD SUPERCONDUCTORS [J].
BEAN, CP .
JOURNAL OF APPLIED PHYSICS, 1970, 41 (06) :2482-&
[3]   MAGNETIZATION OF HIGH-FIELD SUPERCONDUCTORS [J].
BEAN, CP .
REVIEWS OF MODERN PHYSICS, 1964, 36 (1P1) :31-+
[4]   MAGNETIZATION OF HARD SUPERCONDUCTORS [J].
BEAN, CP .
PHYSICAL REVIEW LETTERS, 1962, 8 (06) :250-+
[5]  
Berdichevsky V.L., 1983, Variational Principles of Continuous Medium Mechanics
[6]   NUMERICAL MODELING OF SUPERCONDUCTORS IN 3 DIMENSIONS - A MODEL AND A FINITE-ELEMENT METHOD [J].
BOSSAVIT, A .
IEEE TRANSACTIONS ON MAGNETICS, 1994, 30 (05) :3363-3366
[7]   Universality of flux creep in superconductors with arbitrary shape and current-voltage law [J].
Brandt, EH .
PHYSICAL REVIEW LETTERS, 1996, 76 (21) :4030-4033
[8]   TYPE-II SUPERCONDUCTING STRIP IN PERPENDICULAR MAGNETIC-FIELD [J].
BRANDT, EH ;
INDENBOM, MV ;
FORKL, A .
EUROPHYSICS LETTERS, 1993, 22 (09) :735-740
[9]   FLUX VORTICES AND TRANSPORT CURRENTS IN TYPE II SUPERCONDUCTORS [J].
CAMPBELL, AM ;
EVETTS, JE .
ADVANCES IN PHYSICS, 1972, 21 (90) :199-+
[10]   THE HYSTERESIS OF MAGNETIZATION IN THE GENERALIZED CRITICAL-STATE MODEL - LOW-FIELD APPROXIMATION [J].
CHEN, JL ;
YANG, TJ .
PHYSICA C-SUPERCONDUCTIVITY AND ITS APPLICATIONS, 1994, 224 (3-4) :345-356