Random walk model of impact phenomena
β Scribed by Bruce J. West; Michael Shlesinger
- Publisher
- Elsevier Science
- Year
- 1984
- Tongue
- English
- Weight
- 980 KB
- Volume
- 127
- Category
- Article
- ISSN
- 0378-4371
No coin nor oath required. For personal study only.
β¦ Synopsis
A model of the permanent distortion of an elastic material due to high velocity projectile impact is described using a random walk model, with unusual temporal statistics, of the transport of dislocations.
The biased motion of dislocations in a stress field and also in a random environment is considered.
A temperature dependence for certain scaling exponents is derived. The experimentally observed scaling of the total integrated momentum as well as the scaling of the penetration and strength of the shock wave with time are obtained with this model.
π SIMILAR VOLUMES
We consider the spectrum of the Laplacian corresponding to the random walk on the fractal graph depending on parameter /3 > 0. The spectrum of this Laplacian is given by the iteration of the polynomial R(/l, x) = -(/l + 2)x(x -2) and the Julia set of this polynomial is the main part of the spectrum