Geodesic
A Stochastic Paris-Erdogan Model for Fatigue Crack Growth Using Two-State Model
Bulletin of the Malaysian Mathematical Society, Tome 31 (2008) no. 1 Cet article a éte moissonné depuis la source Bulletin of the Malaysian Mathematical Society website

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The one-state stochastic Paris-Erdogan crack model, da/dn = C({K}) m is extended and replaced by two-state model for fatigue crack growth. This is done by means of memoryless transformation and introduction of an auxilliary process. The mean and variance of the crack size are then derived analytically and the validity of the expressions obtained is verified by comparing them with simulation results. It is found that the results obtained from simulation and analytic expression are sufficiently in good agreement to allow us to conclude the validity of the analytic expression and to validate the numerical simulation procedure.
Classification : 62P30. 
@article{BMMS_2008_31_1_a10,
     author = {Asma Ahmad Shariff},
     title = {A {Stochastic} {Paris-Erdogan} {Model} for {Fatigue} {Crack} {Growth} {Using} {Two-State} {Model}},
     journal = {Bulletin of the Malaysian Mathematical Society},
     year = {2008},
     volume = {31},
     number = {1},
     url = {http://geodesic.mathdoc.fr/item/BMMS_2008_31_1_a10/}
}
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ID  - BMMS_2008_31_1_a10
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%A Asma Ahmad Shariff
%T A Stochastic Paris-Erdogan Model for Fatigue Crack Growth Using Two-State Model
%J Bulletin of the Malaysian Mathematical Society
%D 2008
%V 31
%N 1
%U http://geodesic.mathdoc.fr/item/BMMS_2008_31_1_a10/
%F BMMS_2008_31_1_a10
Asma Ahmad Shariff. A Stochastic Paris-Erdogan Model for Fatigue Crack Growth Using Two-State Model. Bulletin of the Malaysian Mathematical Society, Tome 31 (2008) no. 1. http://geodesic.mathdoc.fr/item/BMMS_2008_31_1_a10/