Characterization of fatigue crack growth by cyclic material forces

Khodor, Jad; Özenç, Kaan; Lin, Guoyu; Kaliske, Michael

doi:10.1016/j.engfracmech.2020.107514

Cited by 5 publications

(4 citation statements)

References 22 publications

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“…In case of fatigue crack propagation, a continuum is subjected to cyclic loading, therefore, a new balance of energy momentum is derived in our previous work Khodor et al (2021) and is called balance of cyclic energy momentum. In the aforementioned work, the balance of cyclic energy momentum is appropriate for elastic-plastic materials at cyclic loading.…”

Section: Balance Of Cyclic Energy Momentummentioning

confidence: 99%

“…However, this parameter is path-dependent and requires to know in advance the active plastic zone around the crack tip. In our previous study Khodor et al (2021), a path-independent domain integral based on cyclic material forces is introduced. The domain-integral is able to characterize the overload effect in small strain elastic-plastic materials without any need to identify the active plastic zone.…”

Section: Introductionmentioning

confidence: 99%

“…The aim of the study at hand is to derive a pathindependent domain integral to describe fatigue crack growth in viscoelastic solids at cyclic loading. The method has been previously introduced for elasticplastic materials in Khodor et al (2021). The approach is based on cyclic material forces.…”

Section: Introductionmentioning

confidence: 99%

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Fatigue fracture characterization by cyclic material forces in viscoelastic solids at small strain

et al. 2022

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The study at hand introduces a new approach to characterize fatigue crack growth in small strain linear viscoelastic solids by configurational mechanics. In this study, Prony series with n-Maxwell elements are used to describe the viscoelastic behavior. As a starting point in this work, the local balance of energy momentum is derived using the free energy density. Moreover, at cyclic loading, the cyclic free energy substitutes the free energy. Using the cyclic free energy, the balance of cyclic energy momentum is obtained. The newly derived balance law at cyclic loading is appropriate for each cycle. In the finite element framework, nodal material forces and cyclic nodal material forces are obtained using the weak and discretized forms of the balance of energy momentum and cyclic energy momentum, respectively. The crack driving force and the cyclic crack driving force are determined by the nodal material forces and the cyclic nodal material forces, respectively. Finally, numerical examples are shown to illustrate path-independence of the domain integrals using material forces and cyclic material forces. The existence of the balance of energy momentum and cyclic energy momentum are also illustrated by numerical examples.

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Section: Balance Of Cyclic Energy Momentummentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

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Fatigue fracture characterization by cyclic material forces in viscoelastic solids at small strain

et al. 2022

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“…In the fracture process, small cracks usually originate at stress concentration points or material flaws and slowly develop under cyclic loading. In the case of fatigue crack growth, Khodor et al [109] mentioned the microscopic defects within the material, which can evolve into small cracks due to repeated cyclic stresses. González et al [110] thought that, in humid environments, corrosive agents can speed up crack initiation.…”

Section: Fracture Mechanisms In Coastal Environmentsmentioning

confidence: 99%

Fracture Behaviour of Aluminium Alloys under Coastal Environmental Conditions: A Review

Alqahtani,

Starr,

Khan

2024

Metals

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Aluminium alloys have been integral to numerous engineering applications due to their favourable strength, weight, and corrosion resistance combination. However, the performance of these alloys in coastal environments is a critical concern, as the interplay between fracture toughness and fatigue crack growth rate under such conditions remains relatively unexplored. This comprehensive review addresses this research gap by analysing the intricate relationship between fatigue crack propagation, fracture toughness, and challenging coastal environmental conditions. In view of the increasing utilisation of aluminium alloys in coastal infrastructure and maritime industries, understanding their behaviour under the joint influences of cyclic loading and corrosive coastal atmospheres is imperative. The primary objective of this review is to synthesise the existing knowledge on the subject, identify research gaps, and propose directions for future investigations. The methodology involves an in-depth examination of peer-reviewed literature and experimental studies. The mechanisms driving fatigue crack initiation and propagation in aluminium alloys exposed to saltwater, humidity, and temperature variations are elucidated. Additionally, this review critically evaluates the impact of coastal conditions on fracture toughness, shedding light on the vulnerability of aluminium alloys to sudden fractures in such environments. The variability of fatigue crack growth rates and fracture toughness values across different aluminium alloy compositions and environmental exposures was discussed. Corrosion–fatigue interactions emerge as a key contributor to accelerated crack propagation, underscoring the need for comprehensive mitigation strategies. This review paper highlights the pressing need to understand the behaviour of aluminium alloys under coastal conditions comprehensively. By revealing the existing research gaps and presenting an integrated overview of the intricate mechanisms at play, this study aims to guide further research and engineering efforts towards enhancing the durability and safety of aluminium alloy components in coastal environments.

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A path‐independent domain integral to characterize fatigue crack propagation by cyclic material forces

Khodor

Kaliske

2023

Proc Appl Math and Mech

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A lot of structures undergoing cyclic loading fail at load values smaller than their ultimate design loads. In the framework of fracture mechanics, the crack propagation process can be separated into three different stages. In the first stage, micro‐cracks propagate and form together a macro‐crack. The macro‐crack propagates stably in the second stage, which is also known as the PARIS' regime. In the third stage, the crack propagates unstably leading to the failure of the structure. The pioneering law characterizing the stable crack growth is PARIS' law. The aforementioned law correlates the crack growth rate to the cyclic stress intensity factor. Unfortunately, the cyclic stress intensity factor is limited to cases where the theory of linear elastic fracture mechanics is applicable. To overcome the limitations of the cyclic stress intensity factor, domain‐integrals evaluated by configurational forces or material forces are used as a fatigue crack growth criterion. However, the aforementioned domain‐integrals are path‐dependent. The aim of the study at hand is to derive a path‐independent domain integral to characterize fatigue crack propagation in elastic‐plastic and linear viscoelastic solids at small strains. First of all, the cyclic material forces are derived using the cyclic free energy. Furthermore, the path‐independence of the cyclic material forces approach is illustrated by numerical examples. Finally, the cyclic material force approach is validated by comparing it to experimental results.

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Characterization of fatigue crack growth by cyclic material forces

Cited by 5 publications

References 22 publications

Fatigue fracture characterization by cyclic material forces in viscoelastic solids at small strain

Fatigue fracture characterization by cyclic material forces in viscoelastic solids at small strain

Fracture Behaviour of Aluminium Alloys under Coastal Environmental Conditions: A Review

A path‐independent domain integral to characterize fatigue crack propagation by cyclic material forces

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