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

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

doi:10.1007/s10704-021-00607-x

Cited by 2 publications

(2 citation statements)

References 35 publications

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“…. Detailed derivations related to the local balance of energy momentum and cyclic energy momentum in linear viscoelastic solids can be found in [3].…”

Section: Local Balance Of Cyclic Energy Momentum In Linear Viscoelast...mentioning

confidence: 99%

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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“…. Detailed derivations related to the local balance of energy momentum and cyclic energy momentum in linear viscoelastic solids can be found in [3].…”

Section: Local Balance Of Cyclic Energy Momentum In Linear Viscoelast...mentioning

confidence: 99%

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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“…In the limit of slow crack growth and slow cyclic loading, a simple integral derivation equation is used to predict the crack growth rate at different cyclic loading frequencies. Jad Khodor [36] et al used configuration mechanics to characterize the growth of fatigue cracks in small-strain linear viscoelastic solids. Huailei Cheng [37] et al…”

Section: Introductionmentioning

confidence: 99%

Fatigue failure of incorporated crack HTPB(Hydroxyl-terminated polybutadiene) propellant under strain control

Li,

Gao,

et al. 2024

Preprint

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To study the fatigue properties of incorporated crack HTPB (hydroxyl terminated polybutadiene propellant) propellant under strain control, fatigue tests with different strain amplitudes were carried out on the MTS fatigue testing machine. Four groups of specimens were set up in this test, namely one group with specimens and three groups with incorporated crack specimens with different angles (0°/45°/75°/ to the horizontal) of cracks. During the fatigue test, an infrared camera was used to monitor the temperature of the whole test piece in the whole process. The results show that at the same frequency, the increase of the strain amplitude will shorten the fatigue life. The fatigue life of the three incorporated crack specimens is similar reaching at 20000times, all in the same order of magnitude, and the fatigue life of the un-cracked specimen is larger reaching at 100000times, showing a cross-order phenomenon. In the fatigue test, the samples exhibit obvious strain hysteresis phenomenon and has significant viscoelastic material properties, in terms of the surface temperature monitoring of the specimens, the four groups of specimens all show a trend of temperature increase, and the final surface temperature and fatigue life are positive related.

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

Cited by 2 publications

References 35 publications

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

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

Fatigue failure of incorporated crack HTPB(Hydroxyl-terminated polybutadiene) propellant under strain control

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