A Novel Analytical Solution on the Mode I SIF for Finite Plates with Slanted Cracks

Farahani, Behzad V.; Melo, F.J.M.Q. de; Tavares, Paulo J.; Moreira, P.M.G.P.

doi:10.1016/j.prostr.2020.10.027

Cited by 2 publications

(2 citation statements)

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“…In order to validate the XFEM outcomes, an experimental determination of the mode I SIF is conducted and compared with numerical results. B. V. Farahani et al [3] offer a novel analytical solution for mode I SIF in finite cracked plates. Component deformation around the cracked region and SIF are determined through a hybrid experimental and numerical study utilizing Digital Image Correlation (DIC) and FEM.…”

Section: Introductionmentioning

confidence: 99%

Experimental and Numerical Investigation of Intact and Cracked Steel Plates under tensile loading using Non-local Method

Abadi,

Kabir

2024

Preprint

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This study examines intact and cracked steel plates under uniform tensile loading, using local and non-local methods, and predicts crack growth with the energy released rate criterion. The impact of initial crack orientation, crack development, crack branching, the number of material points, and the horizon size on the ultimate strength of the steel plates are analyzed. Non-local relationships are established and applied to the equation of motion, with the principle of virtual work employed to solve the associated Lagrange equation. The study determines that the accuracy of the model improves with a horizon function length closer to 0.4 mm, and increasing the number of material points from 50 to 250 enables a more accurate evaluation of crack branching. The lowest and highest load capacities are related to plates with double and single-edge cracks, respectively. The study also shows that as the crack angle increases, the plate's load-carrying capacity under tensile loading increases. The effect of loading speed rate on the intensification of crack branching is investigated, and the results of the non-local method are compared with numerical approaches and experimental tests, showing a maximum difference of 2.13%. The robustness of the developed non-local method for predicting crack growth path, micro-cracks, and branching of cracks is demonstrated thoroughly in comparison with other numerical approaches and experimental tests. In summary, our study offers insights into steel plate behavior under tensile loads and introduces a new approach to predict crack growth, improving safety and reliability in critical steel structures.

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Section: Introductionmentioning

confidence: 99%

Experimental and Numerical Investigation of Intact and Cracked Steel Plates under tensile loading using Non-local Method

Abadi,

Kabir

2024

Preprint

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“…The crack tip field's singularity makes it difficult to compute the SIFs. Currently, the most often utilized methods are the analytical method, weight function method, finite element method (FEM), dual boundary element method (DBEM) (Armentani and Citarella, 2006), and linked FEM-DBEM approaches (Giannella et al, 2017).The analytical approach (Farahani et al, 2020) is limited in its application to real-world complicated engineering circumstances, such as shaped structures and multiple loading, and can only get analytical solutions under a few ideal conditions. The weight function method (Chen et al, 2001) can calculate high-precision SIFs under complex load conditions by integrating the weight function of the crack body and the stress product of the hypothetical crack position of the non-crack body.…”

Section: Introductionmentioning

confidence: 99%

Stress intensity factors analysis for crack around film cooling holes in Ni-based single crystal with contour integral method

Li,

Wen,

Wang

et al. 2023

MMMS

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PurposeThis paper aims to provide SIF calculation method for engineering application.Design/methodology/approachIn this paper, the stress intensity factors (SIFs) calculation method is applied to the anisotropic Ni-based single crystal film cooling holes (FCHs) structure.FindingsBased on contour integral, the anisotropic SIFs analysis finite element method (FEM) in Ni-based single crystal is proposed. The applicability and mesh independence of the method is assessed by comparing the calculated SIFs using mode of plate with an edge crack. Anisotropic SIFs can be calculated with excellent accuracy using the finite element contour integral approach. Then, the effect of crystal orientation and FCHs interference on the anisotropic SIFs is clarified. The SIFs of FCH edge crack in the [011] orientated Ni-based single crystal increases faster than the other two orientations. And the SIF of horizontal interference FCHs edge crack is also larger than that of the inclined interference one.Originality/valueThe SIFs of the FCH edge crack in the turbine air-cooled blade are innovatively computed using the sub-model method. Both the Mode I and II SIFs of FCHs edge crack in blade increase with crack growing.

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A Novel Analytical Solution on the Mode I SIF for Finite Plates with Slanted Cracks

Cited by 2 publications

References 20 publications

Experimental and Numerical Investigation of Intact and Cracked Steel Plates under tensile loading using Non-local Method

Experimental and Numerical Investigation of Intact and Cracked Steel Plates under tensile loading using Non-local Method

Stress intensity factors analysis for crack around film cooling holes in Ni-based single crystal with contour integral method

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