Abstract
The basic concepts and fundamental framework for the theory of elasticity for quasi-crystalline materials, including some one-dimensional (1D), two-dimensional (2D), and three-dimensional (3D) quasi-crystals were studied. It shows that Fourier method is widely effective, and the complex variable function theory method for some boundary value problems of quasi-crystals is also powerful. A variational principle was proposed, based on which the generalized solutions or weak solutions can be found. The numerical results are found to be in good agreement with the analytic solutions.
| Original language | English |
|---|---|
| Pages (from-to) | 325-343 |
| Number of pages | 19 |
| Journal | Applied Mechanics Reviews |
| Volume | 57 |
| Issue number | 1-6 |
| DOIs | |
| Publication status | Published - Jan 2004 |
| Externally published | Yes |
ASJC Scopus subject areas
- Mechanical Engineering