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首页> 外文期刊>Applied Mathematical Modelling >Solution Of Non-linear Thermal Transient Problems By A New Adaptive Time-step Method In Quenching Process
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Solution Of Non-linear Thermal Transient Problems By A New Adaptive Time-step Method In Quenching Process

机译：淬火过程中新的自适应时间步法求解非线性热瞬态问题

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摘要

Quenching process is a thermo-elastic-plasticity problem with a high material non-linearity. The numerical oscillation is likely caused in the simulation of quenching process. In order to avoid the numerical oscillation and improve the calculation accuracy of temperature and phase-transformation fields in the quenching process, a new self-adaptive time-step size method is presented. The method can adjust the time-step size according to the maximum and minimum differences of temperature fields between the previous simulation step and the current simulation step. FEM software for evaluating the temperature, stress/strain and phase-transformation is also developed. A cooling example with numerical analytical results and a quenching example with experiment results are used to verify the calculation accuracy of this software. Five methods including the method in this paper, two constant time-step sizes and two geometric proportion time-step sizes are applied to simulate the quenching process of a 40Cr steel cylinder, respectively. A comparison of the simulation results shows that, the method presented in this paper can effectively avoid the numerical oscillation, ensure the calculation accuracy and cost less calculation time.
机译：淬火过程是具有高材料非线性的热弹塑性问题。在淬火过程的模拟中可能引起数值振荡。为了避免淬火过程中的数值振荡，提高温度和相变场的计算精度，提出了一种新的自适应时间步长法。该方法可以根据先前模拟步骤和当前模拟步骤之间的温度场的最大和最小差异来调整时间步长。还开发了用于评估温度，应力/应变和相变的FEM软件。通过一个带有数值分析结果的冷却实例和一个带有实验结果的淬火实例来验证该软件的计算准确性。本文采用了5种方法，分别采用了两个恒定时间步长和两个几何比例时间步长来模拟40Cr钢圆柱体的淬火过程。仿真结果比较表明，本文提出的方法可以有效避免数值振荡，保证计算精度，减少计算时间。

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