User login


You are here

A phase field formulation for hydrogen assisted cracking [code included]

Emilio Martínez Pañeda's picture

I hope some of you may find this work interesting, the finite element code developed (Abaqus UEL subroutine) can be downloaded from


A phase field formulation for hydrogen assisted cracking


Emilio Martínez-Pañeda, Alireza Golahmar, Christian F. Niordson


Computer Methods in Applied Mechanics and Engineering, 342, pp. 742-761 (2018)


We present a phase field modeling framework for hydrogen assisted cracking. The model builds upon a coupled mechanical and hydrogen diffusion response, driven by chemical potential gradients, and a hydrogen-dependent fracture energy degradation law grounded on first principles calculations. The coupled problem is solved in an implicit time integration scheme, where displacements, phase field order parameter and hydrogen concentration are the primary variables. We show that phase field formulations for fracture are particularly suitable to capture material degradation due to hydrogen. Specifically, we model (i) unstable crack growth in the presence of hydrogen, (ii) failure stress sensitivity to hydrogen content in notched specimens, (iii) cracking thresholds under constant load, (iv) internal hydrogen assisted fracture in cracked specimens, and (v) complex crack paths arising from corrosion pits. Computations reveal a good agreement with experiments, highlighting the predictive capabilities of the present scheme. The work could have important implications for the prediction and prevention of catastrophic failures in corrosive environments. The finite element code developed can be downloaded from


Very interesting paper.

Thank you for sharing :)

Subscribe to Comments for "A phase field formulation for hydrogen assisted cracking [code included]"

Recent comments

More comments


Subscribe to Syndicate