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      A phase field formulation for hydrogen assisted cracking

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          Abstract

          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 www.empaneda.com/codes

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          Most cited references20

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          Extended finite element method for cohesive crack growth

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            A statistical, physical-based, micro-mechanical model of hydrogen-induced intergranular fracture in steel

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              Phase field modeling of ductile fracture at finite strains: A variational gradient-extended plasticity-damage theory

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                Author and article information

                Journal
                26 July 2018
                Article
                10.1016/j.cma.2018.07.021
                1808.03264
                657ff6d9-d7e4-4dc4-8fd5-c5182e6afc55

                http://arxiv.org/licenses/nonexclusive-distrib/1.0/

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                Custom metadata
                Computer Methods in Applied Mechanics and Engineering (2018)
                math.NA

                Numerical & Computational mathematics
                Numerical & Computational mathematics

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