Coupled Analysis of Hydrogen Transport using ABAQUS

Abstract

This paper describes two user subroutines developed within ABAQUS to simulate coupled hydrogen transport equations. Developed user subroutines incorporate two key features in coupled hydrogen transport equations, such as the hydrostatic stress and plastic strain effects on hydrogen transport, and hydrogen-induced dilatational deformation rate. To validate developed subroutines, present simulation results are compared with published results, showing good agreements for all cases considered.

Scale Transition in Finite Element Simulations of Hydrogen–Plasticity Interactions

“…The flowchart of the user subroutine integration in Abaqus is presented on Figure 4.1; the developments have been made in order to simultaneously solve the mechanical and diffusion problem. The procedure used is 'coupled temp-disp', based on the analogy between the thermal and Fick diffusion equations (Oh et al, 2010). Kinetic trapping (Equation [4.10]) (Benannoune et al, 2018;Charles et al, 2018), as well as transient thermal fields (Benannoune et al, 2019b;Vasikaran et al, 2019) might also been included in computations.…”

Implementation of a reaction-diffusion process in the Abaqus finite element software

“…Numerous studies account for such interactions in finite element codes, in various application fields (metal/ hydrogen, water/polymer, metal/lithium ions, see [9][10][11][12][13][14][15][16][17] among others), but very few developments include several phenomena in the computations [18,19], especially in the commercial finite element codes, due to their inherent limitations in terms of available degrees of freedoms at each node. Such an inclusion may, however, be of importance, e.g., to model the behavior of structures in the presence of both impurities and evolving thermal boundary conditions [20].…”

Numerical models for simulating hydrogen diffusion and embrittlement in high strength steels

“…Both are the conserved quantities in the global balance. This fact was already noted by Barrera et al (Barrera et al, 2016): the analogous variable to the internal energy is total concentration , and not the chemical potential as was suggested by Oh et al (Oh et al, 2010).…”

“…Due to the scarce versatility allowed by mass diffusion analysis in Finite Element commercial codes, some authors have used the analogy comparing heat transfer and diffusion for numerical implementation (Falkenberg et al, 2010;Kim, Oh, Kim, Yoon, & Ma, 2012;Oh, Kim, & Yoon, 2010).…”

“…ABAQUS is the commercial software used, so different subroutines are written in order to modify the thermal analysis and obtain concentration distributions in Finite Element simulations. Barrera et al (Barrera, Tarleton, Tang, & Cocks, 2016) have recently discussed the numerical details for the implementation of this thermal analogy, improving the numerical procedure previously proposed by Oh et al (Oh et al, 2010). Regarding diffusion equations, a consistent approach with (Barrera et al, Chapter 3.…”