Field-theoretical description of the formation of a crack tip process zone
1 IEE S.A. ZAE Weiergewan, 11, rue
Edmond Reuter, 5326
2 Institute for Problems of Mechanical Engineering, RAS, Bol’shoi prosp. V. O. 61, 199178 St. Petersburg, Russia
Received in final form: 3 October 2016
Published online: 5 December 2016
The crack tip process zone is regarded as a region where the solid physical properties are altered due to high stress. They are controlled by the solid degrees of freedom existing within the zone and vanishing outside, and can be divided into two classes: (1) zones always existing at the tip and (2) those emerging as soon as certain conditions are met. We focus on the zones of the second kind and argue that they can be described analogously to phase transitions taking place locally. We report both a numerical and an analytical solution for the process zone. We find that the zone can only exist within a limited domain of the dynamic phase diagram, at one side of the phase transition line. We describe this domain and establish its dependence on the crack velocity. We show the existence of a critical crack velocity above which the zone cannot exist.
Key words: Solid State and Materials
© The Author(s) 2016. This article is published with open access at Springerlink.com
This is an open access article distributed under the terms of the Creative Commons Attribution License (http://creativecommons.org/licenses/by/4.0/), which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.