Abstract
Free space Green's functions are derived for graded materials in which the thermal conductivity varies exponentially in one coordinate. Closed-form expressions are obtained for the steady-state diffusion equation, in two and three dimensions. The corresponding boundary integral equation formulations for these problems are derived, and the three-dimensional case is solved numerically using a Galerkin approximation. The results of test calculations are in excellent agreement with exact solutions and finite element simulations.
| Original language | English (US) |
|---|---|
| Pages (from-to) | 543-549 |
| Number of pages | 7 |
| Journal | Journal of Applied Mechanics, Transactions ASME |
| Volume | 70 |
| Issue number | 4 |
| DOIs | |
| State | Published - Jul 2003 |
| Externally published | Yes |
All Science Journal Classification (ASJC) codes
- Condensed Matter Physics
- Mechanics of Materials
- Mechanical Engineering