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On Ginzburg-Landau Vortices of Superconducting Thin Films

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Acta Mathematica Sinica,English Series 2006年第2期22卷 469-476页

作者： Shi Jin DING Qiang DU Department of Mathematics South China Normal University Department of Mathematics Penn State University

In this paper, we discuss the vortex structure of the superconducting thin films placed in a magnetic field. We show that the global minimizer of the functional modelling the superconducting thin films has a bounded number of vortices when the applied magnetic field hex 〈 Hc1 ＋ K log ｜ logε｜ where Hc1 is the lower critical field of the film obtained by Ding and Du in SIAM J. Math. Anal., 2002. The locations of the vortices are also given.

关键词： Superconducting thin films Global minimizer Vortices pinning mechanism

Effect of Mg Addition on Inhibiting Austenite Grain Growth in Heat Affected Zones of Ti-Bearing Low Carbon Steels

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Journal of Iron and Steel Research International 2011年第9期18卷 60-64页

作者： ZHU Kai YANG Jian WANG Rui-zhi YANG Zhen-guo Department of Materials Science Fudan University Shanghai 200433 China Metallurgical ProcessDepartment Research and Development Center Baoshan Iron and Steel Co Ltd Shanghai 201900 China

To study the effect of Mg addition on inhibiting weld heat affected zones （HAZ） austenite grain growth of Ti-bearing low carbon steels, two steels with and without Mg treated were prepared using a laboratory vacuum. The welding testing was simulated by Gleeble 3500 thermomechanical simulator. The performance of HAZ was investiga ted that the toughness was improved from 3.3 to 185 J by adding 0. 005%Mg （in mass percent） to the steel, and the fracture mechanism changed from cleavage fracture to toughness fracture. Through in-situ observation by a confocal scanning laser microscope, a significant result was found that the austenite grain of the steel with Mg treated was still keeping fine-grained structure after holding at 1 400℃ and lasting for 300 s. This inhibition of austenite grain growth was mainly attributed to the formation of pinning particles after the addition of Mg. The obtained results pro pose a potential method for improving HAZ toughness of structure steels.

关键词： low carbon steel Mg microstructure pinning mechanism

pinning of Vortices for a Variational Problem Related to the Superconductivity with Thermal Noise

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Northeastern Mathematical Journal 2002年第3期18卷 197-208页

作者：刘祖汉钱晓松 DepartmentofMathematics YangzhouUniversityYangzhouJiangsu225002 DepartmentofMathematics TongjiUniversityShanghai20092

This paper is concerned with the minimization problem related to the superconductivity with thermal noise. We study the asymptotic behavior of the minimizes of this problem as the parameters tending to zero and prove ... 详细信息

关键词： superconductivity vortice pinning mechanism