Skip to Main Content
 

Global Search Box

 
 
 
 

Files

File List


WorkmanM.the (final comments).pdf (1.56 MB)

ETD Abstract Container

Abstract Header

On Probabilistic Transition Rates Used in Markov Models for Pitting Corrosion

Workman, Michael
http://rave.ohiolink.edu/etdc/view?acc_num=akron1396448113

Abstract Details

2014, Master of Science, University of Akron, Applied Mathematics.
A stochastic initiation and propagation model is developed to predict the effects of pitting corrosion on susceptible metals. The model relies upon an inhomogeneous Markov chain system in order to describe the propagation of pit depths throughout a discretized set of states. This work mainly examines the flexibility of the model with respect to the probabilistic transition rates λi used in the Markov system. Depending on the form of λi, either an analytical or a numerical solution procedure can be used to solve the Markov system, with the numerical form of λi being able to simulate a wider variety of systems, especially for dynamically changing environments. By modifying the expression of λi, increases or decreases, cyclical changes, or abrupt shifts in environmental corrosivity are studied. Simplifications to the model are also suggested for the sake of computational efficiency. A tool in the form of a Mathematica Computational Document is offered as an example of the model's possible use in industry. Additionally, suggestions are made in regard to metastable pitting and situations where the metal begins in a corroded state. The model is flexible enough to handle these scenarios as long as appropriate data is available.
Nao Mimoto, Dr. (Advisor)
Curtis Clemons, Dr. (Advisor)
Kevin Kreider, Dr. (Advisor)
Gerald Young, Dr. (Advisor)
96 p.
Applied Mathematics
Markov; Markov system; pitting; pitting corrosion; environment; growth rate; cdf; model; prediction; stochastic

Recommended Citations

Citations

  • Workman, M. (2014). On Probabilistic Transition Rates Used in Markov Models for Pitting Corrosion [Master's thesis, University of Akron]. OhioLINK Electronic Theses and Dissertations Center. http://rave.ohiolink.edu/etdc/view?acc_num=akron1396448113

    APA Style (7th edition)

  • Workman, Michael. On Probabilistic Transition Rates Used in Markov Models for Pitting Corrosion. 2014. University of Akron, Master's thesis. OhioLINK Electronic Theses and Dissertations Center, http://rave.ohiolink.edu/etdc/view?acc_num=akron1396448113.

    MLA Style (8th edition)

  • Workman, Michael. "On Probabilistic Transition Rates Used in Markov Models for Pitting Corrosion." Master's thesis, University of Akron, 2014. http://rave.ohiolink.edu/etdc/view?acc_num=akron1396448113

    Chicago Manual of Style (17th edition)

akron1396448113
677
© 2014, all rights reserved.
This open access ETD is published by University of Akron and OhioLINK.