Abstract
In this paper we discuss a parallel computer implementation of a finite difference method (equivalent to spring-networks) for elliptic-type boundary value problems. The parallelization consists in dividing the material domain into a number of connected subdomains, each of which corresponds to a single processor, and connecting them. The method is illustrated on an example of a functionally graded composite having circular inclusions with graded interphases - a material with many length scales. Rigorous scale-dependent bounds on the effective conductivity of such a composite are calculated from boundary value problems under the essential and natural boundary conditions. It is found that the presence of a narrow graded interphase dramatically changes the effective conductivity from that of a composite with perfect interfaces.
| Original language | English (US) |
|---|---|
| Pages (from-to) | 71-79 |
| Number of pages | 9 |
| Journal | American Society of Mechanical Engineers, Applied Mechanics Division, AMD |
| Volume | 212 |
| State | Published - 1995 |
| Externally published | Yes |
| Event | Proceedings of the 1995 ASME International Mechanical Engineering Congress and Exposition - San Francisco, CA, USA Duration: Nov 12 1995 → Nov 17 1995 |
ASJC Scopus subject areas
- Mechanical Engineering