The Numerical Analysis Of The Interaction Between Rigid Indenter And Elastic-Plastic Half-Space

This paper employs a numerical method in solving the stress field of elastic-plastic half-space under normal concentrated load of rigid indenter, and has obtained the stress-displacement curve when the indenter is Vickers or cone indenter. The numerical method is based on the solution to half-space under normal distributed force at the boundary. By Generalized Meyer Law of D. Tabor, the formula of stress field of elastic-plastic half space under normal distributed force is deduced. With this formula, the analysis of stress field of elastic-plastic half space under normal static force of Vickers and cone indenter is carried out. The relationship between the value of Meyer index n and stress under the indenter at the same loading is found out, also comparison of indented depth at the same n but different indenter is implemented.This paper uses the numerical superposition method to obtain the sum of displacements of each small unit under the actions of the stress both in itself and in all the other small units, and due to this a series of linear equations are deduced. Then we can derive the distributed stress on each small unit by matrix inversion. Therefore, the more of the number of the units are divided, the values obtained are more precise.The stress distribution of elastic-plastic materials in the area under the rigid indenter is closely related to the hardness study of the materials. It can link hardness, indenter shape, material properties and other factors together, then we will understand the properties of various materials better. So it has great significance to do deep research on the distribution of the stress under the indenter.