Coupled hydrogen diffusion simulation using a heat transfer analogy

Díaz, Andrés; Alegre, J.M.; Cuesta, I.I.

doi:10.1016/j.ijmecsci.2016.07.020

Cited by 80 publications

(43 citation statements)

References 26 publications

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“…These boundary conditions mimic the usual scenario in field applications and laboratory experiments, where the specimen is precharged before loading in the same aggressive environment; accordingly, we assume C b = C 0 . For materials with high hydrogen diffusivity, the use of generalized Neumann-type boundary conditions [44] or σ H -dependent Dirichlet boundary conditions [33,45,46] could provide a more accurate description of the electrochemistry-diffusion interface. As in [39], we adopt the following material properties: Young's modulus E = 210 GPa, Poisson's ratio ν = 0.3, and critical energy release rate G c (0) = 2.7 MPa mm.…”

Section: Cracked Square Plate Subjected To Tension In a Hydrogenous Ementioning

confidence: 99%

A phase field formulation for hydrogen assisted cracking

Martínez‐Pañeda

Golahmar

Niordson

2018

Computer Methods in Applied Mechanics and Engineering

303

197

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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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Section: Cracked Square Plate Subjected To Tension In a Hydrogenous Ementioning

confidence: 99%

A phase field formulation for hydrogen assisted cracking

Martínez‐Pañeda

Golahmar

Niordson

2018

Computer Methods in Applied Mechanics and Engineering

303

197

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“…It is important to note that the value of χ will likely be affected by other modeling assumptions, such as accounting for the increase in apparent solubility due to hydrostatic stresses [97][98][99] or the use of strain gradient plasticity to resolve micro-scale deformation [6,100]. Moreover, physical interpretation of the values of χ is hindered by the phenomenological, macroscopic approach adopted, where both the elastic and plastic parts of the strain energy density contribute to fracture and where the damage micromechanisms are not explicitly resolved.…”

Section: 4mentioning

confidence: 99%

On the suitability of slow strain rate tensile testing for assessing hydrogen embrittlement susceptibility

et al. 2020

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The onset of sub-critical crack growth during slow strain rate tensile testing (SSRT) is assessed through a combined experimental and modeling approach. A systematic comparison of the extent of intergranular fracture and expected hydrogen ingress suggests that hydrogen diffusion alone is insufficient to explain the intergranular fracture depths observed after SSRT experiments in a Ni-Cu superalloy. Simulations of these experiments using a new phase field formulation indicate that crack initiation occurs as low as 40% of the time to failure. The implications of such sub-critical crack growth on the validity and interpretation of SSRT metrics are then explored.

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“…The numerical implementation is carried out in the well-known finite element package ABAQUS. To this end, a UMATHT subroutine is developed to exploit the analogy with heat transfer [15,16]. Thus, the energy balance for a stationary solid in the absence of heat sources is given by, Heat transfer Mass diffusion…”

Section: Coupled Mechanical-diffusion Through the Analogy With Heat Tmentioning

confidence: 99%