A Probabilistic Model of Growth for Two-Sided Cracks Based on the Physical Description of the Phenomenon

Authors

  • Kamon Budsaba Department of Mathematics and Statistics, Faculty of Science and Technology, Thammasat University, Rangsit Center, Pathum Thani, Thailand
  • Poonchayar Patthanangkoor Department of Mathematics and Statistics, Faculty of Science and Technology, Thammasat University, Rangsit Center, Pathum Thani, Thailand
  • Andrei Volodin Department of Mathematics and Statistics, University of Regina, Regina, Saskatchewan, Canada

Keywords:

Failure time models, Birnbaum-Saunders distribution, physical model of a phenomenon

Abstract

There is detailed, consistent, and rigorous general probability model of growth of a one-sided crack for a metallic block presented below. So far there is no such model for a development of a fatigue cracks from upper and bottom sides of the block. Our goal is to present such detailed, consistent, and rigorous general probability model of growth of a two-sided cracks. The significance of this research follows from the fact that such type of investigations have numerous applications in physics, engineering, statistics, environment studies and economics.

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Published

2019-12-12

How to Cite

Budsaba, K., Patthanangkoor, P., & Volodin, A. (2019). A Probabilistic Model of Growth for Two-Sided Cracks Based on the Physical Description of the Phenomenon. Thailand Statistician, 18(1), 16–26. Retrieved from https://ph02.tci-thaijo.org/index.php/thaistat/article/view/228875

Issue

Vol. 18 No. 1 (2020): January

Section

Articles