Abstract
A stochastic analysis of hydrogen-assisted fatigue crack growth in steel plates is presented. First, a simplified deterministic model of the process is proposed. It captures the basic empirical property that the influence of hydrogen diminishes, as the crack growth rate increases. However, it only applies to cases, when diffusion is rate limiting. Next, the model parameters are randomized to reflect the uncertainty inherent in the physical situation. On the basis of the obtained stochastic equation, probabilistic moments of the time, in which the crack reaches a critical length, are computed. Theoretical results are illustrated by a numerical example.
Highlights
IntroductionIt accelerates fatigue crack growth, thereby shortening fatigue lifetime of structures [ 1]
From the stochastic point of view, hydrogen concentration in the plate is described by a twodimensional stationary random field C(x,y,y), where x, y are the coordinates on the plate, and y is the parameter of randomness
Hydrogen concentration is approximately constant in the cohesive zone
Summary
It accelerates fatigue crack growth, thereby shortening fatigue lifetime of structures [ 1]. In the present paper a simple model of the influence of hydrogen on fatigue crack growth is presented. The model is employed to perform a stochastic analysis of crack growth in a thin plate with a random hydrogen content
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