TY - GEN
T1 - Crack Growth Rate for Ideal and Non-Ideal Sink for Hydrogen Diffusion Model
AU - Madsen, Andrew
AB - In this study, we model a non-ideal sink of hydrogen diffusion into a crack and its consequential growth in metal over time. First, we study how the crack grows in an ideal-sink approximation, which is when we donâ€™t take into account that hydrogen inside the crack can diffuse back into the material. In both cases, we start with the equation of state for the ideal gas, *PV *= *mRT*, and sequentially derive the gas pressure *P*, the crack volume *V*, and the gas mass* ***m**. For the gas mass *m*, we calculate the gas flux through the crack, *Q*(*t*). To obtain a result when a non-ideal sink is taken into account, we come up with a different method of calculating the gas flux, *Q*(*t*), to include the loss of hydrogen inside the crack. After formulating the integral equation for the crack radius, we then differentiate both sides to reduce it to a differential equation. After solving the differential equation, we finally obtain a closed form solution how the radius of the crack depends on time.
DA - 2016-3-25
PY - 2023
PB - unav
N1 - *Acknowledgements: *

Alla Baleuva

ER -