晶体塑性本构模型材料参数识别方法研究

Material Parameter Identification Method of Crystal Plastic Constitutive Models

关键词:  晶体塑性  材料参数识别  Voronoi模型  晶粒  微结构建模

Key words:  Crystal plasticity  Material parameter identification  Voronoi model  Grain  Microstructure modeling

摘要:

为建立简单高效的晶体塑性本构模型材料参数识别方法，将传统Voronoi多晶/柱晶微结构模型进行了简化，探索了简化微结构模型的建模策略，验证了利用简化微结构模型进行材料参数识别的合理性，分别形成了针对多晶、柱晶与单晶合金的材料参数识别策略，获得了ZSGH4169，DZ125与DD6合金共15组材料参数。结果显示：简化模型的网格数量远远低于传统Voronoi微结构模型，极大地降低了计算代价；为保证简化模型的结果合理且计算代价适中，简化多晶模型需大致含有125个晶粒；相同材料参数条件下，简化模型与传统Voronoi模型的计算结果基本一致；3类合金仿真/实验结果间的最大误差均不超过5%。文中所开发材料参数识别方法计算成本小、操作难度低、运行效率高。

Abstract:

This investigation aims to develop a simple and efficient material parameter identification method of crystal plastic constitutive models. The traditional Voronoi polycrystal and columnar crystal microstructure model was simplified. And the modeling strategy of the simplified model was explored. It was verified that using the simplified model to identify the material parameter is reasonable. The material parameter identification methods for polycrystal， columnar crystal and single crystal superalloys were proposed respectively. Fifteen sets of material parameters of ZSGH4169， DZ125， and DD6 superalloys were obtained. Results show that the element quantity of the simplified model was much lower than that in the traditional Voronoi model， which could significantly reduce the computational cost. In order to ensure that the results of the simplified model are reasonable and the computational cost is acceptable， the simplified polycrystal model should contain approximately 125 grains. The calculation results of the simplified model were consistent with the conventional Voronoi model using the same material parameters. The maximum relative error between the simulation results and the experiment results for three alloys did not exceed 5%. The proposed material parameter identification method has the advantages of low calculation cost， low implement difficulty， and high operation efficiency.