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点蚀萌生的突变数学模型

A MATHEMATICAL MODEL FOR PITTING INITIATION BASED ON THE CATASTROPHE THEORY

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【作者】 姚红宇宋余九涂铭旌

【Author】 YAO Hongyu;SONG Yujou;TU Mingling(Department of Materials Science and Engineering.Xi’an Jiaotong University, Xi’an 710049)

【机构】 西安交通大学材料系

【摘要】 在氧化膜(或钝化膜)自修复和金属自催化溶解的物理模型基础上建立了金属溶解电流的数学模型。应用突变论对此模型进行的分析表明:在临界电位以下,模型具有稳定的定态0解,系统是的涨落启动的溶解电流随时间的延长而平息。在临界电位以上:,模型的定态0解失稳,突变为稳定的作0定态解,系统行为发生突变,在涨落的启动下发生不能平息的溶解,点蚀便萌生了。

【Abstract】 Based on the physical model that an oxide or a passive film is self-repaired and metal dissolves self-catalytically,a mathematical model for metal’s dissolution current is set up.By application of the catastrophe theory to this model, it is revealed that below a critical potential the model has a stable 0 steady solution.Thus,any dissolution current initiated by fluctuation in the system will decay to 0 with time.The system possesses stable passivation. Above the critical potential.however.the 0 steady solution losses its stability and turns to a stable non-0 steady solutioll.As a result,electrochemical behavior of the system changes drastically.Any dissolution current initiated by the fluctuation will decay no longer.Then, pitting is initiated.

【关键词】 钝化点蚀自催化
【Key words】 passivationpittingself-catalysis
【基金】 中国科学院腐蚀科学开放研究实验室资助
  • 【文献出处】 腐蚀科学与防护技术 ,CORRSION SCIENCE AND PROTECTION TECHNOLOGY , 编辑部邮箱 ,1994年01期
  • 【分类号】TG174.1
  • 【被引频次】2
  • 【下载频次】140
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