Parameter studies of modal vibrations associated with impurity pinned dislocations in a metal single crystal

Citation
Ch. Cooke et J. Kroll, Parameter studies of modal vibrations associated with impurity pinned dislocations in a metal single crystal, NUMER M P D, 17(5), 2001, pp. 427-439
Citations number
4
Language
INGLESE
art.tipo
Article
Categorie Soggetti
Engineering Mathematics
Journal title
NUMERICAL METHODS FOR PARTIAL DIFFERENTIAL EQUATIONS
ISSN journal
0749-159X → ACNP
Volume
17
Issue
5
Year of publication
2001
Pages
427 - 439
Database
ISI
SICI code
0749-159X(200109)17:5<427:PSOMVA>2.0.ZU;2-S
Abstract
Koehler's model [1-2] of motion for edge-type dislocations in a metal singl e crystal that are pinned down by impurity atoms is studied. An exact solut ion can be found, which is composed of a rapidly decaying transient and a s teady time-oscillating, steady state vibration. This solution is used to im prove Koehler's [I] approximation to the steady time-oscillating steady sta te vibration. General parameter studies of the modes of oscillation are the n performed. The present result is of some significance, because it allows insight into the behavior of crystalline solids over a wide parameter range , whereas Koehler's asymptotic approach is valid only for materials that ex hibit order-of-magnitude variation in system parameters. (C) 2001 John Wile y & Sons, Inc.