Fracture mechanics analysis of multiple cracks in anisotropic media

Tu, Chih-Ho; Chen, Chao-Shi; Yu, Tong Lei

doi:10.1002/nag.953

Cited by 8 publications

(4 citation statements)

References 23 publications

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“…The numerical examples presented by Liu and Borja demonstrate that in the dynamic regime, the traction field on the fault faces does not exhibit spurious oscillation, unlike in the quasi‐static case . This is a promising development because it shows the potential of their approach for problems of rupture dynamics and random propagation of geologic faults, as well as for other inherently dynamic problems such as the hydraulic fracturing of rocks .…”

Section: Introductionmentioning

confidence: 90%

Extended finite element framework for fault rupture dynamics including bulk plasticity

Liu

Borja

2013

Num Anal Meth Geomechanics

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SUMMARYWe present an explicit extended finite element framework for fault rupture dynamics accommodating bulk plasticity near the fault. The technique is more robust than the standard split‐node method because it can accommodate a fault propagating freely through the interior of finite elements. To fully exploit the explicit algorithmic framework, we perform mass lumping on the enriched finite elements that preserve the kinetic energy of the rigid body and enrichment modes. We show that with this technique, the extended FE solution reproduces the standard split‐node solution, but with the added advantage that it can also accommodate randomly propagating faults. We use different elastoplastic constitutive models appropriate for geomaterials, including the Mohr–Coulomb, Drucker–Prager, modified Cam‐Clay, and a conical plasticity model with a compression cap, to capture off‐fault bulk plasticity. More specifically, the cap model adds robustness to the framework because it can accommodate various modes of deformation, including compaction, dilatation, and shearing. Copyright © 2013 John Wiley & Sons, Ltd.

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Section: Introductionmentioning

confidence: 90%

Extended finite element framework for fault rupture dynamics including bulk plasticity

Liu

Borja

2013

Num Anal Meth Geomechanics

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“…Zhou and Xia [28] conducted Brazilian splitting tests on fractured as well as fracturefree rock samples, analyzed the crack propagation law based on the phase-field model of quasistatic fractures, investigated the effect of crack dip angle on prefabricated fractured Brazilian disc samples, and analyzed the effects of crack length and critical energy release rate on crack propagation. In recent years, owing to the rapid development of computer technologies, which has resulted in computers that can repeatedly process complex rock computational problems in a fast and efficient manner, various analysis tools have continuously emerged that have been applied in the research of rock fracture mechanics; these include FEM [29][30], BEM [31][32], DDM [33][34],…”

Section: Introductionmentioning

confidence: 99%

Prediction of rock tensile-shear fracture propagation and crack interaction

Li,

Qin

et al. 2023

Preprint

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The interaction and influence between various rock cracks (unequal and noncolinear) are the root cause of fracture in natural rock bodies. In this study, to analyze the interaction law of such cracks, elastic mechanics and the principle of distributed dislocation were superimposed to calculate the mechanical parameters and expressions of the tip stress intensity factor (SIF) and equivalent SIF of two tensile-shear cracks subjected to far-field force. The effects of secondary crack characteristics on the interactions of SIFs at the main crack tip were theoretically analyzed. Then, a secondary crack inclination angle prediction model was established based on the PSO-LSTM theory. The calculated SIF was found to be consistent with the results of the classical Kachanov method and SIF handbook, which further verified the correctness of the derived expression. The results of this study can provide theoretical guidance for evaluating the stability of underground rock excavation projects.

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“…The boundary integral equation method (BIEM) is widely used to study the stress-strain state (SSS) of anisotropic plates with holes [1][2][3] and cracks [4][5][6][7][8][9]. The integral equations for anisotropic plates are usually determined based on the Somigliana identity.…”

Section: Introductionmentioning

confidence: 99%

Determination of Stresses in Composite Plates with Holes and Cracks Based on Singular Integral Equations

Maksymovych¹,

Podhorecki²

2020

Dynamical Systems Theory

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The problems of determination of stresses at crack in bounded plates with holes of different shapes under the action of concentrated forces or distributed forces at its boundary are considered. The study is performed by the singular integral equation method. They were determined based on the established interdependences between the Lekhnitskii potentials and the stress and strain. The numerical method for solving integral equations is developed based on the quadrature method for the systems of holes and cracks. The eigen solutions of the problem were taken into account in this method. The research of stresses at cracks in samples which are used in experimental studies of crack fracture resistance was performed.

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Fracture mechanics analysis of multiple cracks in anisotropic media

Cited by 8 publications

References 23 publications

Extended finite element framework for fault rupture dynamics including bulk plasticity

Extended finite element framework for fault rupture dynamics including bulk plasticity

Prediction of rock tensile-shear fracture propagation and crack interaction

Determination of Stresses in Composite Plates with Holes and Cracks Based on Singular Integral Equations

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