![](/images/graphics-bg.png)
Markov Chain Models for the Stochastic Modeling of Pitting Corrosion
المؤلفون المشاركون
Valor, A.
Caleyo, F.
Alfonso, L.
Velázquez, J. C.
Hallen, J. M.
المصدر
Mathematical Problems in Engineering
العدد
المجلد 2013، العدد 2013 (31 ديسمبر/كانون الأول 2013)، ص ص. 1-13، 13ص.
الناشر
Hindawi Publishing Corporation
تاريخ النشر
2013-06-20
دولة النشر
مصر
عدد الصفحات
13
التخصصات الرئيسية
الملخص EN
The stochastic nature of pitting corrosion of metallic structures has been widely recognized.
It is assumed that this kind of deterioration retains no memory of the past, so only the current state of the damage influences its future development.
This characteristic allows pitting corrosion to be categorized as a Markov process.
In this paper, two different models of pitting corrosion, developed using Markov chains, are presented.
Firstly, a continuous-time, nonhomogeneous linear growth (pure birth) Markov process is used to model external pitting corrosion in underground pipelines.
A closed-form solution of the system of Kolmogorov's forward equations is used to describe the transition probability function in a discrete pit depth space.
The transition probability function is identified by correlating the stochastic pit depth mean with the empirical deterministic mean.
In the second model, the distribution of maximum pit depths in a pitting experiment is successfully modeled after the combination of two stochastic processes: pit initiation and pit growth.
Pit generation is modeled as a nonhomogeneous Poisson process, in which induction time is simulated as the realization of a Weibull process.
Pit growth is simulated using a nonhomogeneous Markov process.
An analytical solution of Kolmogorov's system of equations is also found for the transition probabilities from the first Markov state.
Extreme value statistics is employed to find the distribution of maximum pit depths.
نمط استشهاد جمعية علماء النفس الأمريكية (APA)
Valor, A.& Caleyo, F.& Alfonso, L.& Velázquez, J. C.& Hallen, J. M.. 2013. Markov Chain Models for the Stochastic Modeling of Pitting Corrosion. Mathematical Problems in Engineering،Vol. 2013, no. 2013, pp.1-13.
https://search.emarefa.net/detail/BIM-1008467
نمط استشهاد الجمعية الأمريكية للغات الحديثة (MLA)
Valor, A.…[et al.]. Markov Chain Models for the Stochastic Modeling of Pitting Corrosion. Mathematical Problems in Engineering No. 2013 (2013), pp.1-13.
https://search.emarefa.net/detail/BIM-1008467
نمط استشهاد الجمعية الطبية الأمريكية (AMA)
Valor, A.& Caleyo, F.& Alfonso, L.& Velázquez, J. C.& Hallen, J. M.. Markov Chain Models for the Stochastic Modeling of Pitting Corrosion. Mathematical Problems in Engineering. 2013. Vol. 2013, no. 2013, pp.1-13.
https://search.emarefa.net/detail/BIM-1008467
نوع البيانات
مقالات
لغة النص
الإنجليزية
الملاحظات
Includes bibliographical references
رقم السجل
BIM-1008467
قاعدة معامل التأثير والاستشهادات المرجعية العربي "ارسيف Arcif"
أضخم قاعدة بيانات عربية للاستشهادات المرجعية للمجلات العلمية المحكمة الصادرة في العالم العربي
![](/images/ebook-kashef.png)
تقوم هذه الخدمة بالتحقق من التشابه أو الانتحال في الأبحاث والمقالات العلمية والأطروحات الجامعية والكتب والأبحاث باللغة العربية، وتحديد درجة التشابه أو أصالة الأعمال البحثية وحماية ملكيتها الفكرية. تعرف اكثر
![](/images/kashef-image.png)