Analytic solution of the critical-state model for an elliptical cylinder with field-dependent critical current density

Bhagwat, K. V. ; Chaddah, P. (1991) Analytic solution of the critical-state model for an elliptical cylinder with field-dependent critical current density Physical Review B: Condensed Matter and Materials Physics, 44 (13). pp. 6950-6954. ISSN 1098-0121

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Official URL: http://prb.aps.org/abstract/PRB/v44/i13/p6950_1

Related URL: http://dx.doi.org/10.1103/PhysRevB.44.6950

Abstract

We present an exact solution of the critical-state model for a cylinder of elliptic cross section, and derive the equations for the constant-B contours. A method of obtaining magnetization curves is presented for the case where the critical current density Jc is a general function of the field. The explicit cases of Jc decaying exponentially with the field, and also according to Kim's model, are solved. Numerical results are presented for the exponentially decaying Jc. The relevance of this calculation to the problem of sandpiles is discussed.

Item Type:Article
Source:Copyright of this article belongs to The American Physical Society.
ID Code:84818
Deposited On:27 Feb 2012 12:16
Last Modified:27 Feb 2012 12:16

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