Transition probabilities matrix of Markov Chain in the fatigue crack growth model

Research output: Chapter in Book/Report/Conference proceedingConference contribution

Abstract

Markov model is one of the reliable method to describe the growth of the crack from the initial until fracture phase. One of the important subjects in the crack growth models is to obtain the transition probability matrix of the fatigue. Determining probability transition matrix is important in Markov Chain model for describing probability behaviour of fatigue life in the structure. In this paper, we obtain transition probabilities of a Markov chain based on the Paris law equation to describe the physical meaning of fatigue crack growth problem. The results show that the transition probabilities are capable to calculate the probability of damage in the future with the possibilities of comparing each stage between time.

Original languageEnglish
Title of host publication4th International Conference on Quantitative Sciences and Its Applications, ICOQSIA 2016
PublisherAmerican Institute of Physics Inc.
Volume1782
ISBN (Electronic)9780735414440
DOIs
Publication statusPublished - 25 Oct 2016
Event4th International Conference on Quantitative Sciences and Its Applications, ICOQSIA 2016 - Bangi, Selangor, Malaysia
Duration: 16 Aug 201618 Aug 2016

Other

Other4th International Conference on Quantitative Sciences and Its Applications, ICOQSIA 2016
CountryMalaysia
CityBangi, Selangor
Period16/8/1618/8/16

Fingerprint

Markov chains
transition probabilities
cracks
fatigue life
damage

Keywords

  • fatigue crack growth
  • Markov Chain model
  • probability transition matrix

ASJC Scopus subject areas

  • Physics and Astronomy(all)

Cite this

Mohd Nopiah, Z., Januri, S. S., Mohd Ihsan, A. K. A., Masseran, N., & Abdullah, S. (2016). Transition probabilities matrix of Markov Chain in the fatigue crack growth model. In 4th International Conference on Quantitative Sciences and Its Applications, ICOQSIA 2016 (Vol. 1782). [020001] American Institute of Physics Inc.. https://doi.org/10.1063/1.4966055

Transition probabilities matrix of Markov Chain in the fatigue crack growth model. / Mohd Nopiah, Zulkifli; Januri, Siti Sarah; Mohd Ihsan, Ahmad Kamal Ariffin; Masseran, Nurulkamal; Abdullah, Shahrum.

4th International Conference on Quantitative Sciences and Its Applications, ICOQSIA 2016. Vol. 1782 American Institute of Physics Inc., 2016. 020001.

Research output: Chapter in Book/Report/Conference proceedingConference contribution

Mohd Nopiah, Z, Januri, SS, Mohd Ihsan, AKA, Masseran, N & Abdullah, S 2016, Transition probabilities matrix of Markov Chain in the fatigue crack growth model. in 4th International Conference on Quantitative Sciences and Its Applications, ICOQSIA 2016. vol. 1782, 020001, American Institute of Physics Inc., 4th International Conference on Quantitative Sciences and Its Applications, ICOQSIA 2016, Bangi, Selangor, Malaysia, 16/8/16. https://doi.org/10.1063/1.4966055
Mohd Nopiah Z, Januri SS, Mohd Ihsan AKA, Masseran N, Abdullah S. Transition probabilities matrix of Markov Chain in the fatigue crack growth model. In 4th International Conference on Quantitative Sciences and Its Applications, ICOQSIA 2016. Vol. 1782. American Institute of Physics Inc. 2016. 020001 https://doi.org/10.1063/1.4966055
Mohd Nopiah, Zulkifli ; Januri, Siti Sarah ; Mohd Ihsan, Ahmad Kamal Ariffin ; Masseran, Nurulkamal ; Abdullah, Shahrum. / Transition probabilities matrix of Markov Chain in the fatigue crack growth model. 4th International Conference on Quantitative Sciences and Its Applications, ICOQSIA 2016. Vol. 1782 American Institute of Physics Inc., 2016.
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