Mesoscopic model for ferromagnets with isotropic hardening

Roubicek T; Kruzik M

首页> 外文期刊>ZAMP: Zeitschrift fur Angewandte Mathematik und Physik: = Journal of Applied Mathematics and Physics: = Journal de Mathematiques et de Physique Appliquees >Mesoscopic model for ferromagnets with isotropic hardening

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Mesoscopic model for ferromagnets with isotropic hardening

机译：各向同性强化铁磁体的介观模型

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The proposed model combines tendency for minimization of Gibbs' magnetic energy with the rate-independent maximum-dissipation mechanism that reflects the macroscopic quantity of energy required to change one pole of a magnet to another. This energy can increase within the evolution which is the effect like hardening in plasticity. The microstructure is described on a "mesoscopic" level in terms of Young measures. Such a mesoscopic, distributed-parameter model is formulated (and, after a suitable regularization), analyzed, discretized, implemented, and eventually tested computationally on a uni-axial magnet. The desired hysteretic "macroscopic" response, including effects as virgin curves and minor loops, is demonstrated.

机译：所提出的模型将吉布斯磁能最小化的趋势与速率无关的最大耗散机制结合在一起，后者反映了将磁体的一个磁极改变为另一个磁极所需的宏观能量。该能量可以在演变过程中增加，这是诸如可塑性硬化之类的效果。用杨氏量度在“介观”水平上描述微观结构。这种介观的，分布参数的模型被制定（并经过适当的正则化），分析，离散化，实现并最终在单轴磁体上进行了计算测试。证明了所需的歇斯底里的“宏观”响应，包括原始曲线和较小环的影响。

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《ZAMP: Zeitschrift fur Angewandte Mathematik und Physik: = Journal of Applied Mathematics and Physics: = Journal de Mathematiques et de Physique Appliquees》 |2005年第1期|共29页
作者
Roubicek T; Kruzik M;
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正文语种 eng
中图分类应用数学;
关键词
variational inequalities; ferromagnetism; hysteresis; hardening; rate-independent dissipation; MICROMAGNETICS; MICROSTRUCTURE; HYSTERESIS; APPROXIMATION; FORMULATION; RELAXATION; PRINCIPLE;

机译：变分不等;铁磁性;磁滞;硬化;速率无关的耗散;磁学;微结构;磁滞;近似;配方;松弛;原理;

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1. Mesoscopic model for ferromagnets with isotropic hardening [J] . Roubicek T, Kruzik M ZAMP: Zeitschrift fur Angewandte Mathematik und Physik: = Journal of Applied Mathematics and Physics: = Journal de Mathematiques et de Physique Appliquees . 2005,第1期

机译：各向同性强化铁磁体的介观模型
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Mesoscopic model for ferromagnets with isotropic hardening

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