Title

Analytic Mathematical Models for Fracture Growth Due to Hydrogen Embrittlement

Faculty Mentor(s)

Dr. Alla Balueva

Campus

Gainesville

Proposal Type

Oral Presentation

Subject Area

Mathematics

Location

Conference Room

Start Date

22-3-2019 2:00 PM

End Date

22-3-2019 3:00 PM

Description/Abstract

Abstract: Analytic Mathematical Models for Fracture Growth Due to Hydrogen Embrittlement.

Dr. A. Balueva, J. Magaña, 2019

Prepared for ARC, 2019.

Hydrogen Embrittlement, or Hydrogen Induced Cracking (HIC), is a physical phenomenon that affects structural steel in pipelines, and other applications, which are subject tothe diffusion of gaseous hydrogen. Over the last two decades, a great amount of research has focused on understanding the basic mechanisms that govern HIC. The ability to reliably predict the growth-rate of a Hydrogen-driven fracture is key to developing safe and efficient practices in the natural gas industry and other operations in which HIC is a common occurance.

The aim of our research is to propose a mathematical model that predicts the size of the fracture opening as a function of time. We derive this model analytically, first modeled under ideal gas, and again under non-ideal gas. A physical justification is provided for our model. With our resultant equations, we calculate the expected crack-growth for a real-life example, using known data. We conclude with a discussion about crack-propagation under very high pressures, limitations for the model, and generalization for the future.

Media Format

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Mar 22nd, 2:00 PM Mar 22nd, 3:00 PM

Analytic Mathematical Models for Fracture Growth Due to Hydrogen Embrittlement

Conference Room

Abstract: Analytic Mathematical Models for Fracture Growth Due to Hydrogen Embrittlement.

Dr. A. Balueva, J. Magaña, 2019

Prepared for ARC, 2019.

Hydrogen Embrittlement, or Hydrogen Induced Cracking (HIC), is a physical phenomenon that affects structural steel in pipelines, and other applications, which are subject tothe diffusion of gaseous hydrogen. Over the last two decades, a great amount of research has focused on understanding the basic mechanisms that govern HIC. The ability to reliably predict the growth-rate of a Hydrogen-driven fracture is key to developing safe and efficient practices in the natural gas industry and other operations in which HIC is a common occurance.

The aim of our research is to propose a mathematical model that predicts the size of the fracture opening as a function of time. We derive this model analytically, first modeled under ideal gas, and again under non-ideal gas. A physical justification is provided for our model. With our resultant equations, we calculate the expected crack-growth for a real-life example, using known data. We conclude with a discussion about crack-propagation under very high pressures, limitations for the model, and generalization for the future.