不同晶粒形状材料的力学性能的有限元分析

In this paper, 2D finite element method is used to explore the mechanics of the nanoindentation process for Berkovich indenter. The mesh and boundary condition of this model and the material property of sample are introduced. The influence of the shape and size of the grain's section on the mechanical properties of the materials was investigated based on finite element calculation results from the indentation load vs indentation displacement. For the same type of materials with the same grain cross sectional area, the hardness of the materials whose crystalline grain section shape is rectangular is higher than that of the materials whose grain section shape is triangular at the same indentation depth. Moreover, if the grain cross sections have the same shape, the hardness value would increase with the increase of the size. Our analysis shows that as the force delivery relationship is different, the material's mechanical properties vary with the shape of the grain's section.