Mathematical simulation and experimental mark of ductile-brittle transition process for materials

This paper studies the mathematical simulation of the `properties-temperature' curve of ductile-brittle transition process for materials and finds the best mathematical model of ductile-brittle transition. According to the mathematical model, the relation between the energy ductile-brittle transition temperature T_c and nil-ductile transition temperature T_NDT is found. These relationships obtained above not only find the common principle for determining the material's ductile-brittle transition temperature and the mathematical method of a quantitative analysis for ductile-brittle transition process, but also find a method to translate the properties transition curves into mechanism transition ones, and the basis to build the mechanism diagram of cold-brittle fracture.