Williams' expansion‐based approximation of the displacement field in an Al 2024 compact tension specimen reconstructed from optical measurements

Seitl, Stanislav; Malíková, Lucie; Ruzicka, Vladimir; Moreno, B.; López-Crespo, P.

doi:10.1111/ffe.12842

Cited by 3 publications

(3 citation statements)

References 27 publications

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“…Thus, the coefficients An could be calculated, which was programmed in Wolfram Mathematica code [49] and php software [50]. More details on advantages, restrictions and accuracy of the ODM can be found in [10][11][12][13].…”

Section: Over-deterministic Methods (Odm)mentioning

confidence: 99%

“…The frame rate of the camera was set to 12. Overall the camera/sample/illumination/loading rig setup was analogous to that employed previously [10,27]. In order to not introduce additional sources of error, the raw information measured by DIC, was fed into the elastic analytical model to conduct the fracture mechanics analysis (see following section).…”

Section: Full-field Experimental Measurement Of Displacementsmentioning

confidence: 99%

“…Understanding the evolution of higher order terms for different geometries is key to predict the constraint of elastic-plastic crack tip fields [9]. Consequently, a large effort has been devoted in recent times to develop algorithms for fast determination of higher order terms and to improve the accuracy in the estimation of higher order terms [10][11][12][13] both quasi-statically [14] and in dynamic situations [15]. Digital Image Correlation technique (DIC) was applied successfully on NiTi pseudoelastic alloy for evaluation of fracture toughness and another fracture properties [16].…”

Section: Introductionmentioning

confidence: 99%

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Approximation of the crack-tip field in fatigue cracks in bridge steel specimens: DIC analysis of different constraint levels

Seitl¹,

Miarka

Ruzicka

et al. 2019

Frattura Ed Integrità Strutturale

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A study on the accuracy of the approximation of the displacement field around of crack tip in a sample made from bridge steel (S355) is main objective of contribution. Linear elastic fracture mechanics (LEFM) theory in framework of multi-parameter formulation, i.e. postulated by Williams is used to determine of coefficients of Williams power series terms. Over deterministic method was used to calculate the terms based on the least squares regression technique, applied on data from numerical simulation and experiment on S355 steel grades. Comparison between the stress fields (by principal stress  1 and von Mises stress  HMH) obtain from experimental measurement DIC, Hybrid method and obtain from reconstruction by using various number of Williams power terms are quantified in order to get key information around the crack tip region on bridge steel specimens.

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Section: Over-deterministic Methods (Odm)mentioning

confidence: 99%

Section: Full-field Experimental Measurement Of Displacementsmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

See 1 more Smart Citation

Approximation of the crack-tip field in fatigue cracks in bridge steel specimens: DIC analysis of different constraint levels

Seitl¹,

Miarka

Ruzicka

et al. 2019

Frattura Ed Integrità Strutturale

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Evaluation of in situ hot-rolling forming effect on plastic zone of wire + arc additively manufactured 5087 alloys using digital image correlation technique

Liang

Yang

James

et al. 2022

International Journal of Fatigue

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Modified Model of Crack Tip Stress Field Considering Dislocation Slip Accumulation and Crack Tip Blunting

Yang

Wang

et al. 2023

Chin. J. Mech. Eng.

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This study uses the digital image correlation technique to measure the crack tip displacement field at various crack lengths in U71MnG rail steel, and the interpolated continuous displacement field was obtained by fitting with a back propagation (BP) neural network. The slip and stacking of dislocations affect crack initiation and growth, leading to changes in the crack tip field and the fatigue characteristics of crack growth. The Christopher-James-Patterson (CJP) model describes the elastic stress field around a growing fatigue crack that experiences plasticity-induced shielding. In the present work, this model is modified by including the effect of the dislocation field on the plastic zone of the crack tip and hence on the elastic field by introducing a plastic flow factor ρ, which represents the amount of blunting of the crack tip. The Levenberg-Marquardt (L-M) nonlinear least squares method was used to solve for the stress intensity factors. To verify the accuracy of this modified CJP model, the theoretical and experimental plastic zone errors before and after modification were compared, and the variation trends of the stress intensity factors and the plastic flow factor ρ were analysed. The results show that the CJP model, with the introduction of ρ, exhibits a good blunting trend. In the low plasticity state, the modified model can accurately describe the experimental plastic zone, and the modified stress intensity factors are more accurate, which proves the effectiveness of dislocation correction. This plastic flow correction provides a more accurate crack tip field model and improves the CJP crack growth relationship.

show abstract

Williams' expansion‐based approximation of the displacement field in an Al 2024 compact tension specimen reconstructed from optical measurements

Cited by 3 publications

References 27 publications

Approximation of the crack-tip field in fatigue cracks in bridge steel specimens: DIC analysis of different constraint levels

Approximation of the crack-tip field in fatigue cracks in bridge steel specimens: DIC analysis of different constraint levels

Evaluation of in situ hot-rolling forming effect on plastic zone of wire + arc additively manufactured 5087 alloys using digital image correlation technique

Modified Model of Crack Tip Stress Field Considering Dislocation Slip Accumulation and Crack Tip Blunting

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