Temperature and structure numerical analysis in the overlaying of a bimetallic roll

A. M. Pokrovskiy, A. Chermoshentseva, E. Dubovitskiy
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Abstract

A model was created describing the field of temperatures and distribution of the phase and structural composition in a bimetallic casting roller throughout the built-in welding process. The non-linear and non-static problem of thermal conductivity is solved using a method based on finite elements. Limit conditions of the third kind are used to describe the conditions of thermal conductivity. Heat emitted at phase and structural transitions is taken into account. It was assumed that heat physics coefficients depend on the temperature and structure. Liquid-to-solid transition was modelled using linear approximation. Avrami equation was used to describe the kinetics of austenite-to-perlite transition. The transition between the isothermal kinetics of the austenite degradation to the non-isothermal conditions was calculated using the theory of isokinetic reaction, using the additivity rule. The results for the calculation of temperatures and structures throughout the build-up welding process are presented. The software developed in the course of this research can be used for numeric modelling of the strained and deformed casting roller during the build-up welding.A model was created describing the field of temperatures and distribution of the phase and structural composition in a bimetallic casting roller throughout the built-in welding process. The non-linear and non-static problem of thermal conductivity is solved using a method based on finite elements. Limit conditions of the third kind are used to describe the conditions of thermal conductivity. Heat emitted at phase and structural transitions is taken into account. It was assumed that heat physics coefficients depend on the temperature and structure. Liquid-to-solid transition was modelled using linear approximation. Avrami equation was used to describe the kinetics of austenite-to-perlite transition. The transition between the isothermal kinetics of the austenite degradation to the non-isothermal conditions was calculated using the theory of isokinetic reaction, using the additivity rule. The results for the calculation of temperatures and structures throughout the build-up welding process are presented. Th...
双金属轧辊复盖过程中的温度与结构数值分析
建立了双金属铸造轧辊内嵌焊过程的温度场、相分布和组织成分分布模型。采用基于有限元的方法求解了非线性非静态导热系数问题。第三类极限条件用于描述导热性的条件。考虑了相变和结构转变时发出的热量。假设热物理系数与温度和结构有关。采用线性逼近法建立了液固过渡模型。采用Avrami方程描述了奥氏体向珍珠岩转变的动力学过程。采用等温反应理论,利用可加性规则,计算了奥氏体降解的等温动力学到非等温条件的转变。给出了堆焊过程中温度和结构的计算结果。本研究开发的软件可用于堆焊过程中铸造轧辊的应变和变形的数值模拟。建立了双金属铸造轧辊内嵌焊过程的温度场、相分布和组织成分分布模型。采用基于有限元的方法求解了非线性非静态导热系数问题。第三类极限条件用于描述导热性的条件。考虑了相变和结构转变时发出的热量。假设热物理系数与温度和结构有关。采用线性逼近法建立了液固过渡模型。采用Avrami方程描述了奥氏体向珍珠岩转变的动力学过程。采用等温反应理论,利用可加性规则,计算了奥氏体降解的等温动力学到非等温条件的转变。给出了堆焊过程中温度和结构的计算结果。Th……
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