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Modeling of Phase Transformations in Hypoeutectoid Fe-C Steels During Heating

机译:发热过程中红细胞切蛋白Fe-C钢相变化的建模

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Two numerical models have been developed inorder to simulate the reaustenitisation from ferrite/pearlitemicrostructures in Fe-C steels. The first one describes thedissolution of pearlite which takes place just above the eutectoidtemperature. It is based upon a two-dimensional finite elementmethod and an adaptive mesh. The diffusion equation is solved inaustenite (#gamma#) for a typical domain representative of theperiodic structure of ferrite (#alpha#) and cementite (theta#)lamellae. The #alpha#/#gamma# and #theta#/#gamma# interfacesare allowed to move with respect to the local equilibriumcondition including curvature effects via the Gibbs-Thomsoncoefficient. The model is able to predict the dissolution rate, theconcentration field and the shape of the interface at different stagesof the pearlite dissolution. The second model describes thetransformation of proeutectoid ferrite into austenite which followsthe pearlite dissolution in hypoeutectoid steels. The diffusionequation is solved for a domain representative of the #alpha#-#gamma# grain structures, using a finite volume method basedupon a hexagonal grid. The discrete #alpha#/#gamma# boundary isrepresented by special interfacial elements which separate #alpha#-elements from #gamma#-elements. This technique allows tohandle the displacement of the interface while respecting the fluxcondition at the interface. Simulated microstructures showing thedissolution of ferrite regions in the austenite matrix are presentedat different stages of the phase transformation. A reverse TTT-diagram calculated with this 2D model is compared withdilatometric measurements performed at the same heating rates.
机译:两个数字模型已经被开发序来模拟对Fe-C钢的铁素体/ pearlitemicrostructures的reaustenitisation。第一个介绍的珠光体thedissolution这只需在上面eutectoidtemperature地方。它是基于二维有限元和自适应网格。该扩散方程为典型域代表铁素体的结构做周期(#阿尔法#)和渗碳体(THETA#)薄片的解决inaustenite(#伽马#)。所述#alpha#/#伽马#和#theta#/#伽马#interfacesare允许相对于移动到本地equilibriumcondition包括通过吉布斯-Thomsoncoefficient曲率的效果。该模型能够预测的溶解速率,theconcentration字段和接口中的stagesof珠光体溶解不同的形状。第二个模型描述的先共析铁素体的成thetransformation奥氏体其中followsthe珠光体溶解在亚共析钢。该扩散方程被求解域代表#alpha#的 - #伽马#晶粒结构,使用basedupon六角形网格有限体积法。离散#alpha#/#伽马#边界isrepresented由从#伽马#-elements分离#阿尔法#-elements特殊的界面元素。这种技术允许tohandle的界面的位移,同时尊重在界面处的fluxcondition。示出了在奥氏体基体铁素体区的thedissolution模拟微结构相变的presentedat不同阶段。与此二维模型计算出的反向TTT-图相比较,在相同的加热速率下进行withdilatometric测量。

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