Abstract
This paper reports the derivation of the explicit integral kernels for the elastic fields due to eigenstrains in two joined and perfectly bonded half-space solids or bimaterials. The domain integrations of these kernels result in the analytical solutions to displacements and stresses. When the eigenstrains are all in solid I, the kernel for the elastic fields has four groups in this solid and two groups in the other joined solid. Explicit closed-form solutions for a cuboidal inclusion with uniform eigenstrains are derived as the basic solutions, i.e., the influence coefficients. When the computational domain is meshed into cuboidal elements of the same sizes, the total elastic fields can be quickly obtained by implementing three-dimensional fast Fourier transform-based algorithms. The results for the fields due to a cuboidal, a spherical, and a cylindrical inclusion, as well as multiple cuboidal inclusions are presented and discussed. Residual stresses in an elasto-plastic contact involved a coated substrate is further analyzed with the new solution approach.
Original language | English (US) |
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Pages (from-to) | 1-28 |
Number of pages | 28 |
Journal | International journal of plasticity |
Volume | 76 |
DOIs | |
State | Published - Aug 17 2016 |
Funding
Z. Wang would like to express sincere gratitude to the support from the National Science Foundation of China under Grant No. 51475055 and the Fundamental Research Funds for the Central Universities under Grant No. CDJZR14285502. The authors would also like to acknowledge supports from State Key Laboratory of Mechanical Transmission at Chongqing University, Chongqing, No. 0301002109162, China.
Keywords
- A. Inclusions
- Analytical solutions
- B. Layered material
- Fast Fourier transform (FFT)
- Joined half-spaces
ASJC Scopus subject areas
- General Materials Science
- Mechanics of Materials
- Mechanical Engineering