| | |
| | |
Stat |
Members: 3643 Articles: 2'487'895 Articles rated: 2609
29 March 2024 |
|
| | | |
|
Article overview
| |
|
Breakdown of Heterogeneous Materials | Purusattam Ray
; | Date: |
18 Mar 2005 | Subject: | Statistical Mechanics; Materials Science | cond-mat.stat-mech cond-mat.mtrl-sci | Abstract: | We discuss the threshold activated extremal dynamics that is prevalent in the breakdown processes in heterogeneous materials. We model such systems by an elastic spring network with random breaking thresholds assigned to the springs. Results are obtained from molecular dynamics simulation of the system under constant stress and constant strain conditions. We find that the distribution $P(m)$ of the avalanches of size $m$, caused by the rupturing of the springs till the failure of the network, decays as a power-law: $P(m) sim m^{-alpha}$, where $alpha$ can be closely approximated to 5/2. The average avalanche size $$ diverges as $ sim (F_c - F)^{-1/2}$ close to the stress $F_c$ at which the total failure of the network occurs. We study the time evolution of the breakdown process: we find that the bonds rupture randomly over the network at initial times but the rupturing becomes highly correlated at late times to give rise to a well-defined macroscopic crack. | Source: | arXiv, cond-mat/0503473 | Services: | Forum | Review | PDF | Favorites |
|
|
No review found.
Did you like this article?
Note: answers to reviews or questions about the article must be posted in the forum section.
Authors are not allowed to review their own article. They can use the forum section.
browser claudebot
|
| |
|
|
|
| News, job offers and information for researchers and scientists:
| |