A stochastic Paris-Erdogan model for fatigue crack growth using two-state model
The one-state stochastic Paris-Erdogan crack model, da/dn = C(δK)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...
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2008
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my.um.eprints.256452020-12-11T07:18:14Z http://eprints.um.edu.my/25645/ A stochastic Paris-Erdogan model for fatigue crack growth using two-state model Shariff, Asma Ahmad Q Science (General) QA Mathematics The one-state stochastic Paris-Erdogan crack model, da/dn = C(δK)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. Springer Verlag 2008 Article PeerReviewed Shariff, Asma Ahmad (2008) A stochastic Paris-Erdogan model for fatigue crack growth using two-state model. Bulletin of the Malaysian Mathematical Sciences Society, 31 (1). pp. 97-108. ISSN 0126-6705 http://math.usm.my/bulletin/pdf/v31n1/v31n1p11.pdf |
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Q Science (General) QA Mathematics Shariff, Asma Ahmad A stochastic Paris-Erdogan model for fatigue crack growth using two-state model |
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The one-state stochastic Paris-Erdogan crack model, da/dn = C(δK)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. |
| format |
Article |
| author |
Shariff, Asma Ahmad |
| author_facet |
Shariff, Asma Ahmad |
| author_sort |
Shariff, Asma Ahmad |
| title |
A stochastic Paris-Erdogan model for fatigue crack growth using two-state model |
| title_short |
A stochastic Paris-Erdogan model for fatigue crack growth using two-state model |
| title_full |
A stochastic Paris-Erdogan model for fatigue crack growth using two-state model |
| title_fullStr |
A stochastic Paris-Erdogan model for fatigue crack growth using two-state model |
| title_full_unstemmed |
A stochastic Paris-Erdogan model for fatigue crack growth using two-state model |
| title_sort |
stochastic paris-erdogan model for fatigue crack growth using two-state model |
| publisher |
Springer Verlag |
| publishDate |
2008 |
| url |
http://eprints.um.edu.my/25645/ http://math.usm.my/bulletin/pdf/v31n1/v31n1p11.pdf |
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