Abstract
The effective-medium theory developed in previous papers is extended to the superelastic problem, where a fraction p of the bonds in a central-force elastic network have a spring constant and a fraction 1-p of the bonds have a spring constant . The superelastic limit is obtained as /→0 such that remains finite. In this paper we present comparisons between effective-medium theory and numerical simulations for the triangular net with nearest-neighbor central forces and the square net with nearest- and next-nearest-neighbor central forces. Some unexpected symmetries are found in these models.
- Received 13 September 1985
DOI:https://doi.org/10.1103/PhysRevB.33.3289
©1986 American Physical Society