Applications of phase field fracture in modelling hydrogen assisted failures

Kristensen, Philip K.; Niordson, Christian Frithiof; Martínez‐Pañeda, Emilio

doi:10.1016/j.tafmec.2020.102837

Cited by 62 publications

(24 citation statements)

References 63 publications

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“…Thirdly, phase field fracture modelling has shown to be very compelling and robust from a computational viewpoint. Advanced fracture features such as complex crack trajectories, crack branching, nucleation, and merging can be captured in arbitrary geometries and dimensions, and on the original finite element mesh (see, e.g., [ 25 , 26 , 27 , 28 ]). Also, computations can be conducted in a Backward Euler setting without the convergence issues observed when using other computational fracture methods.…”

Section: Introductionmentioning

confidence: 99%

A Unified Abaqus Implementation of the Phase Field Fracture Method Using Only a User Material Subroutine

2021

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We present a simple and robust implementation of the phase field fracture method in Abaqus. Unlike previous works, only a user material (UMAT) subroutine is used. This is achieved by exploiting the analogy between the phase field balance equation and heat transfer, which avoids the need for a user element mesh and enables taking advantage of Abaqus’ in-built features. A unified theoretical framework and its implementation are presented, suitable for any arbitrary choice of crack density function and fracture driving force. Specifically, the framework is exemplified with the so-called AT1, AT2 and phase field-cohesive zone models (PF-CZM). Both staggered and monolithic solution schemes are handled. We demonstrate the potential and robustness of this new implementation by addressing several paradigmatic 2D and 3D boundary value problems. The numerical examples show how the current implementation can be used to reproduce numerical and experimental results from the literature, and efficiently capture advanced features such as complex crack trajectories, crack nucleation from arbitrary sites and contact problems. The code developed is made freely available.

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Section: Introductionmentioning

confidence: 99%

A Unified Abaqus Implementation of the Phase Field Fracture Method Using Only a User Material Subroutine

2021

Self Cite

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“…a value of

ϕ = 0

in intact material points and of

ϕ = 1

in fully cracked material points, and varying smoothly in‐between (akin to a damage variable). Phase field fracture methods have opened new modelling horizons, enabling the prediction of complex cracking phenomena such as crack branching, deflection, nucleation, and merging in arbitrary geometries and dimensions 36‐39 . Applications have soared and now include the fracture of functionally graded materials, 40,41 composites, 42‐44 rock‐like materials, 45,46 ductile 47‐49 and embrittled 50‐52 metals, and natural materials 53,54 .…”

Section: A Phase Field Fatigue Formulation For Smasmentioning

confidence: 99%

Modelling fatigue crack growth in shape memory alloys

Simoes

Braithwaite

Makaya

et al. 2022

Fatigue Fract Eng Mat Struct

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We present a phase field‐based framework for modelling fatigue damage in Shape Memory Alloys (SMAs). The model combines, for the first time: (i) a generalized phase field description of fracture, incorporating multiple phase field formulations, (ii) a constitutive model for SMAs, based on a Drucker–Prager form of the transformation surface, and (iii) a fatigue degradation function, with damage driven by both elastic and transformation strains. The theoretical framework is numerically implemented, and the resulting linearized system is solved using a robust monolithic scheme, based on quasi‐Newton methods. Several paradigmatic boundary value problems are addressed to gain insight into the role of transformation stresses, stress‐strain hysteresis, and temperature. Namely, we compute Δε − N curves, quantify Paris law parameters, and predict fatigue crack growth rates in several geometries. In addition, the potential of the model for solving large‐scale problems is demonstrated by simulating the fatigue failure of a 3D lattice structure.

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“…For example, the degradation function has been defined based on atomistic calculations of surface energy susceptibility to hydrogen coverage, upon the assumption of embrittlement due to atomic decohesion [56]. Among others, phase field formulations for hydrogen assisted fracture have been used to (i) assess the suitability of Slow Strain Rate Tests (SSRTs), the testing configuration most widely used to evaluate hydrogen susceptibility [61], (ii) predict the hydrogenenhancement of fatigue crack growth rates, providing Virtual S-N curves [62]; and (iii) conduct virtual laboratory and field experiments [63,64]. Representative results are shown in Fig.…”

Section: Hydrogen Embrittlementmentioning

confidence: 99%

Progress and opportunities in modelling environmentally assisted cracking

Martínez‐Pañeda

2021

RILEM Tech Lett

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Environmentally assisted cracking phenomena are widespread across the transport, defence, energy and construction sectors. However, predicting environmentally assisted fractures is a highly cross-disciplinary endeavour that requires resolving the multiple material-environment interactions taking place. In this manuscript, an overview is given of recent breakthroughs in the modelling of environmentally assisted cracking. The focus is on the opportunities created by two recent developments: phase field and multi-physics modelling. The possibilities enabled by the confluence of phase field methods and electro-chemo-mechanics modelling are discussed in the context of three environmental assisted cracking phenomena of particular engineering interest: hydrogen embrittlement, localised corrosion and corrosion fatigue. Mechanical processes such as deformation and fracture can be coupled with chemical phenomena like local reactions, ionic transport and hydrogen uptake and diffusion. Moreover, these can be combined with the prediction of an evolving interface, such as a growing pit or a crack, as dictated by a phase field variable that evolves based on thermodynamics and local kinetics. Suitable for both microstructural and continuum length scales, this new generation of simulation-based, multi-physics phase field models can open new modelling horizons and enable Virtual Testing in harmful environments.

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Applications of phase field fracture in modelling hydrogen assisted failures

Cited by 62 publications

References 63 publications

A Unified Abaqus Implementation of the Phase Field Fracture Method Using Only a User Material Subroutine

A Unified Abaqus Implementation of the Phase Field Fracture Method Using Only a User Material Subroutine

Modelling fatigue crack growth in shape memory alloys

Progress and opportunities in modelling environmentally assisted cracking

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