A Markov Model for the Dynamics of Cracks of a Special Type

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Abstract

Stochastic Markov models describe various natural and technical processes. They are often used in the most diverse fields. We single out the Markov models with discrete time and small number of states. In specific cases, such models allow carrying out effective analysis and calculations. We discuss in detail the models with four states. The processes associated with the elliptic cracks are simulated.

Original languageEnglish
Pages (from-to)145-152
Number of pages8
JournalJournal of Applied and Industrial Mathematics
Volume12
Issue number1
DOIs
Publication statusPublished - 1 Jan 2018

Keywords

  • crack
  • dynamics
  • Markov model
  • probability
  • stochastic modeling

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