摘要
分别利用Boltzmann函数和双曲正切函数两种数学模型对系列冲击试验中的试验数据进行拟合,得到了材料的冲击韧脆转变曲线,比较了这两种数学模型的优劣和适应性,并对数学模型中各参数的选择进行了讨论。结果表明:Boltzmann函数和双曲正切函数这两种数学模型是同一函数的不同表达式,在拟合冲击韧脆转变曲线过程中都具有同样良好的效果;当曲线上、下平台不明显时,合理地假设上、下平台值,是准确预测韧脆转变温度的前提。
Serial impact test datas were fitted with Boltzmann function and hyperbolic tangent function mathematical model separately and the ductile-brittle transition temperature curve were gained. Quality and applicability of these two models were compared and parameters selection of these two models were discussed. The results show that mathematical model of Boltzmann function and hyperbolic tangent function were two different expressions of the same function. They had equal effects on ductile-brittle transition curve fitting. When high level value and low level value were not obvious, it was the precondition of determining accurately ductile-brittle transition temperature to suppose logically high level value and low level value.
出处
《理化检验(物理分册)》
CAS
2009年第10期617-620,632,共5页
Physical Testing and Chemical Analysis(Part A:Physical Testing)
关键词
冲击试验
韧脆转变曲线
数学模型
Bohzmann函数
双曲正切函数
impact test
ductile-brittle transition temperature curve
mathematical model
Boltzmann function hyperbolic tangent function