The Volume Strain Energy Density Factor Criterion for Sharp V-Notches under Mixed-Mode I and II

Liu, Xiao Mei; Bian, Yong Ming; Liang, Yuping

doi:10.4028/www.scientific.net/amm.782.170

Cited by 3 publications

(2 citation statements)

References 22 publications

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“…So far, a wide range of analytical, numerical and experimental techniques have been developed to predict the failure of notched members subjected to various loading conditions. For instance, extensive studies have been conducted to obtain theoretical solutions for fracture prediction of various types of notches, including sharp V- [11][12][13][14], blunt V- [15,16], U- [17][18][19][20], key-hole [21][22][23][24] and VO-shaped [25,26] notches. As computers have become more powerful, recent research has been more focused on computational methods such as phase-field [27][28][29], extended finite-element [30][31][32][33] and mesh-free [34,35] simulations.…”

Section: Introductionmentioning

confidence: 99%

Data-driven based fracture prediction of notched components

Talebi,

Bahrami,

Daneshfar

et al. 2023

Phil. Trans. R. Soc. A.

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A data-driven approach is developed to predict the fracture load of a notched component. To do so, more than 1500 fracture tests (507 unique experimental data points) on mixed-mode I/II loading of notched brittle samples were collected from the literature. After pre-processing the raw data, six features of maximum tangential stress ( σ θ θ max ) , maximum tangential stress angle ( θ σ θ θ max ) , ultimate tensile strength ( σ u ) , fracture toughness ( K I c ) , notch opening angle ( 2 α ) and notch tip radius ( ρ ) were selected by using the neighbourhood component analysis (NCA) technique. To predict the fracture load of various types of notched samples, several machine learning (ML) models were trained using the methods of Gaussian process regression (GPR), decision tree ensemble and artificial neural network (ANN). Then, the Bayesian optimization algorithm was applied to find the optimum hyperparameters for each model. Lastly, the performance of the models in predicting fracture load was evaluated against 124 unseen data points. The results revealed the high potential of data-driven methods for assessing the fracture load of notched brittle components with acceptable precisions of 92%, 89% and 88% accuracy, respectively, for GPR, decision tree ensemble and ANN models. The superior performance of the GPR method can be attributed to its ability to capture complex nonlinear relationships in the data while providing reliable uncertainty estimates. Furthermore, thanks to its interpolation capabilities, GPR is able to seamlessly fill the gaps between data points, resulting in more comprehensive and precise predictions across the entire range of input data. Additionally, the presented models were capable of predicting the fracture load of VO-shaped notched samples with acceptable accuracy, though this type of notch was not used in the model training process. This article is part of the theme issue 'Physics-informed machine learning and its structural integrity applications (Part 2)'.

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Section: Introductionmentioning

confidence: 99%

Data-driven based fracture prediction of notched components

Talebi,

Bahrami,

Daneshfar

et al. 2023

Phil. Trans. R. Soc. A.

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“…At present, fracture criteria are yet to be established specifically for cement soil, and their fracture failures are described with the fracture criteria of rock materials. Scholars worldwide have established three typical failure criteria for mixed mode I-II fractures: the maximum energy release rate criterion (G criterion) (Hussain et al, 1973), the minimum strain energy density criterion (S criterion) (Liu et al, 2015), and the maximum tangential stress criterion (MTS criterion) (Erdoga and Sih, 1963). Most of the existing research has adopted the three fracture criteria above to describe fracture failures.…”

mentioning

confidence: 99%

The influence of cement proportion and curing age on the mixed mode I-II fracture characteristics of cement soil

Liu,

Du,

et al. 2024

Front. Mater.

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To study the fracture failure mechanism of cement soil under tensile-shear stress, mixed mode I-II fracture tests were conducted on cement soil semi-circular bending specimens with different cement proportions (p = 5%, 10%, 15%, 20%, and 25%) and curing ages (T = 1, 3, 5, and 7 days). The test results showed that the cracks were jagged as they propagated, and mode I stress intensity factor (KI) and mode II stress intensity factor (KII)gradually increased with the increase of cement proportion and curing age. In addition, the KII/KIC values were between 0.39 and 0.45 under different cement proportions and between 0.40 and 0.44 under different curing ages. Subsequently, the limitations of using traditional fracture criteria (MTS, S, G, and circular criteria) to describe cement soil fracture damage were identified. In contrast, the generalized maximum tangential stress (GMTS) criterion fitted the test results well, with the KII/KIC value and the crack initiation angle near the critical size rc = 1 mm curve. Based on the generalized maximum tangential stress (GMTS) criterion, the rc of the cement soil crack tip micro-fracture zone was calculated as 0.3 mm–1.9 mm.

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