Abstract
The present study is on the analytical solution for the elastic field due to a cuboidal inclusion of uniform eigenstrain within a transversely isotropic full-space material, and a numerical method to model inclusions of any arbitrary shapes and with any eigenstrain distributions as the integration of a set of such cuboidal inclusions. The fast Fourier transform (FFT) is applied for efficient computation. The developed method and results are implemented to analyze the elastic field in a transversely isotropic full-space material containing inclusions of different shapes, different eigenstrain distributions, and multiple cuboids of different densities. Furthermore, the effect of material anisotropy on the stress field subjected to a spherical inclusion with pure dilatant eigenstrains is explored by comparing the behavior of a transversely isotropic material with that of a corresponding isotropic one. The numerical results show that the induced stresses are drastically influenced by the Young's moduli of transversely isotropic materials, and that material constant C33 has a large influence on normal stress σ33.
| Original language | English (US) |
|---|---|
| Pages (from-to) | 177-196 |
| Number of pages | 20 |
| Journal | International Journal of Solids and Structures |
| Volume | 203 |
| DOIs | |
| State | Published - Oct 15 2020 |
Funding
The authors would like to acknowledge the support from Tribology Research Institute at Southwest Jiaotong University , Chengdu, China, and Center for Surface Engineering and Tribology at Northwestern University , Evanston, USA . Zhanjiang Wang would like to acknowledge the supports from the National Nature Secience Foundation of China under grant 51775457. Le Zhao whould also like to thank the scholarship from the China Scholarship Council under grant 201907000100. The authors would like to acknowledge the support from Tribology Research Institute at Southwest Jiaotong University, Chengdu, China, and Center for Surface Engineering and Tribology at Northwestern University, Evanston, USA. Zhanjiang Wang would like to acknowledge the supports from the National Nature Secience Foundation of China under grant 51775457. Le Zhao whould also like to thank the scholarship from the China Scholarship Council under grant 201907000100.
Keywords
- Arbitrary eigenstrains
- Fast Fourier transform
- Material anisotropy
- Transversely isotropic materials
ASJC Scopus subject areas
- Modeling and Simulation
- General Materials Science
- Condensed Matter Physics
- Mechanics of Materials
- Mechanical Engineering
- Applied Mathematics