Simple closed-form expression of the generalised temperature integral in the basic equation to describe kinetic reactions for solid materials in linear heating process is always suitable for use in determining parameters. Many developed solutions only can give high accuracies on the general conditions. A new analytical approximate solution was deduced in this work. The deviations of this solution from the true value are fully analysed. This solution takes advantage in broader application conditions than other known solutions. The application of the new analytical approximate solution in austenite kinetic reaction in this work reinforces that austenite reaction rate is feasible to be given a priori.

中文翻译：

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动力学反应广义温度积分的新解析近似解

描述固体材料在线性加热过程中的动力学反应的基本方程中广义温度积分的简单闭式表达式总是适用于确定参数。许多开发的解决方案只能在一般条件下提供高精度。在这项工作中推导出了一个新的解析近似解。充分分析了该解与真值的偏差。该解决方案在比其他已知解决方案更广泛的应用条件下发挥优势。在这项工作中应用新的解析近似解在奥氏体动力学反应中加强了奥氏体反应速率是可行的。