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Relation Between Power and Exponential Laws of Slow Crack Growth
Author(s) -
Gupta P. K.
Publication year - 1982
Publication title -
journal of the american ceramic society
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.9
H-Index - 196
eISSN - 1551-2916
pISSN - 0002-7820
DOI - 10.1111/j.1151-2916.1982.tb10350.x
Subject(s) - dimensionless quantity , exponential function , power law , limit (mathematics) , stress intensity factor , law , exponential growth , mathematics , physics , thermodynamics , mathematical physics , mathematical analysis , materials science , condensed matter physics , chemistry , analytical chemistry (journal) , fracture mechanics , statistics , political science , chromatography
The coefficients V̂ 0 Q̂, and N of the power law of slow crack growth, V̂=V̂ 0 exp [–Q̂/(RT)](K/K C ) N , are evaluated in terms of the fundamental parameters V 0 . Q 0 . and B of the exponential law, V=V 0 exp [(‐Q 0 +BK)/(RT)]. It is shown that N =θ(BK C )/(RT),Q̂=Q̂ 0 −θBK C , and V̂ 0 =V 0 θ −N , where θ is a dimensionless coefficient with a value ranging from 0.2858 to 1.0, depending on the ratio of stress intensity at the fatigue limit to the critical stress intensity factor.