 | | Mechanics of Solids
A Journal of Russian Academy of Sciences | | Founded
in January 1966
Issued 6 times a year
Print ISSN 0025-6544
Online ISSN 1934-7936 |
Archive of Issues
| Total articles in the database: | | 13288 |
| In Russian (Èçâ. ÐÀÍ. ÌÒÒ): | | 8164
|
| In English (Mech. Solids): | | 5124 |
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| << Previous article | Volume 60, Issue 4 / 2025 | Next article >> |
| Zheng Meng, Hui Chen, Hui Peng, and Yang Liu, "A Novel Model for Obtaining Equivalent Stress Distribution in Plastic Zone on Metallic Materials via Spherical Indentation," Mech. Solids. 60 (4), 3244-3257 (2025) |
| Year |
2025 |
Volume |
60 |
Number |
4 |
Pages |
3244-3257 |
| DOI |
10.1134/S0025654425601788 |
| Title |
A Novel Model for Obtaining Equivalent Stress Distribution in Plastic Zone on Metallic Materials via Spherical Indentation |
| Author(s) |
Zheng Meng (School of Civil and Environmental Engineering, Changsha University of Science and Technology, Changsha, 410114 China)
Hui Chen (School of Civil and Environmental Engineering, Changsha University of Science and Technology, Changsha, 410114 China, chen_hui5352@163.com)
Hui Peng (School of Civil and Environmental Engineering, Changsha University of Science and Technology, Changsha, 410114 China)
Yang Liu (School of Civil and Environmental Engineering, Changsha University of Science and Technology, Changsha, 410114 China) |
| Abstract |
The classical contact mechanics provides elastic solutions for the load-depth relationship
and stress distribution of the spherical indentation problem and verifies that the stress field of elastic-plastic indentation with an arbitrary blunt indenter approximates the expanding cavity model. This
study reviews the stress solution of the elastic zone for spherical indentation using power-law hardening materials derived from predecessors based on the expanding cavity model and elastoplastic
mechanics. Furthermore, the expression of von Mises equivalent stress distribution in the plastic zone
beneath the spherical indenter is derived based on the analytical stress solution for an internally pressurized spherical shell. The numerical verification shows that the equivalent stresses calculated from
finite element analysis are in good agreement with the theoretical solution of the elastic zone, but there are still significant deviations in the theoretical solution of the plastic zone. Therefore, to accurately
characterize the equivalent stress distribution within the plastic zone of spherical indentation in
power-law hardening materials, a novel dimensionless exponential function model is proposed based
on a combination of the dimensional analysis and the finite element analysis. Finally, the equivalent
stress distribution model is verified across a range of ductile metallic materials, with the results demonstrating good agreement between the finite element results and the model predictions. |
| Keywords |
spherical indentation, expanding cavity model, dimensional analysis, finite element analysis, elastoplastic contact |
| Received |
15 April 2025 | Revised |
12 June 2025 | Accepted |
13 June 2025 |
| Link to Fulltext |
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