The theory of non-steady state fracture kinetics analysis—1: General theory of crack propagation

✍ Scribed by A.S. Krausz; K. Krausz

• Publisher: Elsevier Science
• Year: 1980
• Tongue: English
• Weight: 586 KB
• Volume: 13
• Category: Article
• ISSN: 0013-7944
• DOI: 10.1016/0013-7944(80)90006-5

✦ Synopsis

The kinetics theory of thermally activated time dependent crack propagation is extended to describe the crack size dist~but~on in non-steady state. The dis~but~on is represented by a series of n differential equations, each expressing the rate of crack tip concentration change over the system of n consecutive energy barriers. The general solution for the set of homogeneous linear first order differential equations developed in this report is of the form pi = &c,,~ e -"f + Ci, where pi is the crack tip concentration in the ith valley. The theory takes into consideration the discrete character of solids in contrast with the usual continuum models of fracture studies. The analysis is readily applicable to Regions I and II of stress corrosion cracking.