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An Integrated Approach for Evaluation of Linear Cohesive Zone Model�s Performance in Fracturing of Rocks

Garg, P and Pandit, B and Hedayat, A and Griffiths, DV and Babu, GLS (2021) An Integrated Approach for Evaluation of Linear Cohesive Zone Model�s Performance in Fracturing of Rocks. In: Rock Mechanics and Rock Engineering .

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Official URL: https://doi.org/10.1007/s00603-021-02561-5


Fracturing in rocks results in the formation of an inelastic region surrounding the crack tip called the fracture process zone (FPZ), which is often characterized using the Linear Cohesive Zone Model (LCZM). Various numerical studies have shown that the prediction of the FPZ characteristics is significantly influenced by variability in the input parameters of LCZM, such as crack tip opening displacement and tensile strength. In this study, an integrated approach was used for evaluating the LCZM performance in predicting fracture processes of Barre granite specimens, as a representative rock, under Mode I loading. The approach involved experimental testing, numerical simulation, uncertainty quantification of overall fracture behavior, and global sensitivity analysis. First, parameters of the LCZM were estimated from three-point bending tests on center notch Barre granite specimen using the two-dimensional digital image correlation (2D-DIC) technique. This was followed by the implementation of the LCZM in XFEM-based numerical model to simulate the evolution of the FPZ in tested geometry. The results from the deterministic numerical simulation showed that while LCZM can predict all stages of FPZ evolution, the variability in the experimental results, such as the FPZ size, cannot be accounted. The variability of the material response was quantified using a random variable analysis, which involved treating the LCZM�s parameters as random variables. This was followed by the global sensitivity analysis that revealed the most sensitive input parameters is the tensile strength for accurate prediction of the global response of rock specimens under Mode I loading. © 2021, The Author(s), under exclusive licence to Springer-Verlag GmbH Austria, part of Springer Nature.

Item Type: Journal Article
Publication: Rock Mechanics and Rock Engineering
Publisher: Springer
Additional Information: The copyright for this article belongs to Springer
Keywords: Bending dies; Bending tests; Crack propagation; Crack tips; Forecasting; Fracture testing; Granite; Integrated control; Numerical models; Random variables; Scattering parameters; Tensile strength; Uncertainty analysis, Cohesive zone model; Crack tip opening displacement; Digital image correlations; Experimental testing; Fracture process zone; Global sensitivity analysis; Simulation , uncertainty; Three-point bending test, Sensitivity analysis
Department/Centre: Division of Mechanical Sciences > Civil Engineering
Date Deposited: 02 Sep 2021 11:10
Last Modified: 02 Sep 2021 11:10
URI: http://eprints.iisc.ac.in/id/eprint/69626

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