Modelling of environmentally assisted material degradation in the crack phase-field framework

Falkenberg, Rainer

doi:10.1177/1464420718761220

Cited by 3 publications

(4 citation statements)

References 44 publications

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“…In this sense, for example, the simulation of crack propagation was conducted with a diffusive crack model in a variation framework, and where consideration is given in Falkenberg. 21 In any case, the investigated materials are very common in use in engineering practice precisely due to their behavior under load. These materials are characterized by a high level of ultimate tensile strength, yield strength, creep resistance to some extent, and fatigue behavior.…”

Section: Short Time Creep Testingmentioning

confidence: 99%

Comparison of responses of different types of steel alloys under the same loading and environmental conditions

Brnić

Kršćanski

Brčić

2021

Proceedings of the Institution of Mechanical Engineers, Part L:

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Modern construction must meet the function for which it has been made and must be safe and economical to operate. In order to achieve the foregoing, the design of the structure should strive for an optimal solution. Such a design is usually based on the optimal choice of material and the optimal dimensions of structural elements. In order to select the optimal material for the manufacture of structural elements, it is necessary to have data on the behavior of the material in the intended operating conditions. In this sense, this paper deals with experimental research and analysis of the behavior of several types of materials subjected to approximately the same operating conditions. Under considerations were low-alloy structural steel (1.7225), special structural steel (1.7147), alloy carbon steel (1.5920), and alloy stainless steel (1.4034). The mechanical behavior of the tested materials, in terms of monitoring changes and mutual comparisons of mechanical properties, is shown on the basis of engineering stress–strain diagrams, while their creep resistances are monitored and compared with each other based on creep curves. As for the fracture toughness, it can be estimated based on the results of the fracture impact energy test, applying the known calculation method. In accordance with the tests performed at room temperature, the following results related to the maximum ultimate tensile strength ([Formula: see text]/MPa), Charpy V-notch impact energy ( CVN/J), and fatigue limit ([Formula: see text] at stress ratio [Formula: see text], are shown as follows: [Mat. Nr.[Formula: see text]; [Formula: see text]; [Formula: see text]; [Formula: see text].

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Section: Short Time Creep Testingmentioning

confidence: 99%

Comparison of responses of different types of steel alloys under the same loading and environmental conditions

Brnić

Kršćanski

Brčić

2021

Proceedings of the Institution of Mechanical Engineers, Part L:

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“…PFM can also be used for hydrogen-dependent fracture energy to simulate HAC [37][38][39][40], with many results reported. However, previous computational models apply the PFM standard of Bourdin et al [22].…”

Section: Introductionmentioning

confidence: 99%

A Phase-Field Regularized Cohesion Model for Hydrogen-Assisted Cracking

Zhang,

Shen

2024

Coatings

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Hydrogen-assisted cracking (HAC) usually causes premature mechanical failure of the material and results in structural damage in hydrogen environments. A phase-field regularized cohesion model (PF-CZM) was proposed to address hydrogen-assisted cracking. It incorporated the hydrogen-enhanced decohesion mechanism to decrease the critical energy release rate to address damage initiation and progression in a chemo-mechanical coupled environment. This model is based on coupled mechanical and hydrogen diffusion responses, driven by chemical potential gradients, and the introduction of hydrogen-related fracture energy degradation laws. The coupling problem is solved by an implicit time integral, in which hydrogen concentration, displacement and phase-field order parameters are the main variables. Three commonly used loading regimes (tension, shear, and three-point bending) were provided for comparing crack growth. Specifically, (i) hydrogen-dependent fracture energy degradation, (ii) mechanical–chemical coupling, and (iii) the diffusion coefficient D is influenced by both the phase field and the chemical field. By considering these factors, the PF-CZM model provided a variational framework by coupling mechanical loading with concentration diffusion for studying the complex interplay between a chemo-mechanical coupled environment and material damage, thereby enhancing our understanding of hydrogen-assisted cracking phenomena.

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“…Finite element method is increasingly developed for the prediction of crack propagation in diverse engineering applications. [1][2][3] Brittle fracture of solids means the brutal deterioration of their mechanical strength due to mechanical or thermal loading. The modeling of crack paths is one of the most complicated tasks of brittle fracture mechanics.…”

Section: Introductionmentioning

confidence: 99%

“…Finite element method is increasingly developed for the prediction of crack propagation in diverse engineering applications. 1–3…”

Section: Introductionmentioning

confidence: 99%

Variational approach and experimental investigation of the phase-field model predicting brittle fracture

Fraj

Hentati

Messaoudi

et al. 2023

Proceedings of the Institution of Mechanical Engineers, Part L:

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Cracks are described as sharp and diffusive surfaces in failure mechanical models. In this paper, a finite element model is developed by using a diffusive description of crack discontinuities. The main objective of this study is to prove the accuracy of the phase-field model in which the alternate minimization iteration and the spectral decomposition formulation are considered. We conduct a set of benchmark numerical tests on notched specimens using the phase-field model, which allows the prediction of the quasi-brittle failure. The fracture surface is approximated by a diffusive field, which interpolates between undamaged and fully damaged states. A mechanical loading was applied on quenched C90 steel and different obtained crack patterns are discussed. Microstructural analyses are performed to prove the accuracy of the proposed numerical approach. Through the determination of microstructural properties of untreated and quenched C90 steel, it is concluded that the presence of the micro-cracks may have a great influence on the crack path evolution.

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Modelling of environmentally assisted material degradation in the crack phase-field framework

Cited by 3 publications

References 44 publications

Comparison of responses of different types of steel alloys under the same loading and environmental conditions

Comparison of responses of different types of steel alloys under the same loading and environmental conditions

A Phase-Field Regularized Cohesion Model for Hydrogen-Assisted Cracking

Variational approach and experimental investigation of the phase-field model predicting brittle fracture

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