Application of Johnson-Mehl-Avrami-Kolmogorov type equation in non-isothermal phase process: Re-discussion

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• 作者：Xuanwei Lei ; Jihua Huang ; ^{jhhuang62@sina.com" class="auth_mail" title="E-mail the corresponding author} ; Xing Jin ; Shuhai Chen ; Xingke Zhao
• 关键词：Phase transformation ; Metals and alloys ; Kinetics ; JMAK type equation
• 刊名：Materials Letters
• 出版年：2016
• 出版时间：15 October 2016
• 年：2016
• 卷：181
• 期：Complete
• 页码：240-243
• 全文大小：1316 K

文摘

A new non-isothermal phase kinetic equation which keeps the form of Johnson-Mehl-Avrami-Kolmogorov (JMAK) equation is established. This non-isothermal JMAK type equation is expressed as

the MathML source" class="mathImg" data-mathURL="/science?_ob=MathURL&_method=retrieve&_eid=1-s2.0-S0167577X16309958&_mathId=si0001.gif&_user=111111111&_pii=S0167577X16309958&_rdoc=1&_issn=0167577X&md5=5c7a50356d8d2c6413435c75d4a493f4">the MathML source" title="View the MathML source" src="/sd/grey_pxl.gif" data-inlimgeid="1-s2.0-S0167577X16309958-si0001.gif">$X\left(t\right)=1-\exp \left[-(K{t)}^n\right],K=K_0\exp \left(-\frac{Q}{R{T}_0}\right)$

T₀ can be given a linear relationship with transformation temperature T in relatively large parameter fluctuation ranges. The applications of non-isothermal JMAK type equation in γ→α phase process of Fe-0.002 wt%C alloy under linear cooling process and welding thermal process do show its good agreements with the experimental data.