A phase field formulation for hydrogen assisted cracking
TLDR
In this paper, a phase field modeling framework for hydrogen assisted cracking is presented, based on 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.About:
This article is published in Computer Methods in Applied Mechanics and Engineering.The article was published on 2018-12-01 and is currently open access. It has received 226 citations till now. The article focuses on the topics: Hydrogen embrittlement & Fracture mechanics.read more
Citations
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Book ChapterDOI
Phase-field modeling of fracture
TL;DR: This chapter provides an extensive overview of the literature on the so-called phase-field fracture/damage models (PFMs), particularly, for quasi-static and dynamic fracture of brittle and quasi-brittle materials, from the points of view of a computational mechanician.
Journal ArticleDOI
The synergistic action and interplay of hydrogen embrittlement mechanisms in steels and iron: Localized plasticity and decohesion
TL;DR: In this paper, a review of the synergistic interplay of hydrogen embrittlement mechanisms in STEEL and IR is presented, with a particular emphasis on the proposal of the novel and unified HELP+HEDE model based on the specific microstructural mapping of the dominant HE mechanisms with implications on the fracture process and resulting hydrogen-assisted fracture modes.
Journal ArticleDOI
Phase field modelling of crack propagation in functionally graded materials
TL;DR: A phase field formulation for fracture in functionally graded materials builds upon homogenization theory and accounts for the spatial variation of elastic and fracture properties and identifies material gradient profiles that prevent unstable fracture and enhance crack growth resistance.
Journal ArticleDOI
On the BFGS monolithic algorithm for the unified phase field damage theory
TL;DR: This work proposes in this work, for the first time, to use the Broyden–Fletcher–Goldfarb–Shanno (BFGS) algorithm to solve in a monolithic manner the system of coupled governing equations, rather than the standard Newton one which is notoriously poor for problems involving non-convex energy functional.
Journal ArticleDOI
Phase field fracture modelling using quasi-Newton methods and a new adaptive step scheme
TL;DR: In this paper, the authors investigate the potential of quasi-Newton methods in facilitating convergence of monolithic solution schemes for phase field fracture modelling, and propose a new adaptive time increment scheme to further reduce the computational cost while allowing to accurately resolve sudden changes in material behavior.
References
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Journal ArticleDOI
Revisiting brittle fracture as an energy minimization problem
TL;DR: In this paper, a variational model of quasistatic crack evolution is proposed, which frees itself of the usual constraints of that theory : a preexisting crack and a well-defined crack path.
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A phase field model for rate-independent crack propagation: Robust algorithmic implementation based on operator splits
TL;DR: In this paper, a variational framework for rate-independent diffusive fracture was proposed based on the introduction of a local history field, which contains a maximum reference energy obtained in the deformation history, which may be considered as a measure for the maximum tensile strain obtained in history.
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Numerical experiments in revisited brittle fracture
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Effects of hydrogen on the properties of iron and steel
TL;DR: In this paper, the effects of hydrogen on the physical and mechanical properties of iron and steel are reviewed and a new mechanism for the cold work peak for hydrogen in iron is considered.
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Thermodynamically consistent phase‐field models of fracture: Variational principles and multi‐field FE implementations
TL;DR: In this article, a thermodynamically consistent framework for phase-field models of crack propagation in elastic solids, developed incremental variational principles and considering their numerical implementations by multi-field finite element methods is presented.