Modeling crack propagation path of anisotropic rocks using boundary element method

2008 ◽  
Vol 33 (9) ◽  
pp. 1227-1253 ◽  
Author(s):  
Chien-Chung Ke ◽  
Chao-Shi Chen ◽  
Cheng-Yu Ku ◽  
Chih-Hao Chen
2012 ◽  
Vol 2012 ◽  
pp. 1-26 ◽  
Author(s):  
Chien-Chung Ke ◽  
Cheng-Lung Kuo ◽  
Shih-Meng Hsu ◽  
Shang-Chia Liu ◽  
Chao-Shi Chen

This work calculates the stress intensity factors (SIFs) at the crack tips, predicts the crack initiation angles, and simulates the crack propagation path in the two-dimensional cracked anisotropic materials using the single-domain boundary element method (BEM) combined with maximum circumferential stress criterion. The BEM formulation, based on the relative displacements of the crack tip, is used to determine the mixed-mode SIFs and simulate the crack propagation behavior. Numerical examples of the application of the formulation for different crack inclination angles, crack lengths, degree of material anisotropy, and crack types are presented. Furthermore, the propagation path in Cracked Straight Through Brazilian Disc (CSTBD) specimen is numerically predicted and the results of numerical and experimental data compared with the actual laboratory observations. Good agreement is found between the two approaches. The proposed BEM formulation is therefore suitable to simulate the process of crack propagation. Additionally, the anisotropic rock slope failure initiated by the tensile crack can also be analyzed by the proposed crack propagation simulation technique.


2013 ◽  
Vol 560 ◽  
pp. 87-98
Author(s):  
Chien Chung Ke ◽  
Wong Rui Lee ◽  
Shih Meng Hsu ◽  
Chao Shi Chen

This paper evaluates the stress intensity factors (SIFs) at the crack tips, predicts the crack initiation angles and simulates the crack propagation path in the two-dimensional cracked anisotropic materials using the single-domain boundary element method (SDBEM) combined with maximum circumferential stress criterion. Numerical examples of the application of the formulation for different crack inclination angles, crack lengths, degree of material anisotropy, and crack types are presented. Furthermore, the propagation path in Cracked Straight Through Brazilian Disc (CSTBD) specimen is numerically predicted and the results of numerical and experimental data compared with the actual laboratory observations. Good agreement is found between the two approaches. The proposed BEM formulation is therefore suitable to simulate the process of crack propagation. Additionally, the anisotropic rock slope failure initiated by the tensile crack can also be analyzed by the proposed crack propagation simulation technique.


2008 ◽  
Vol 20 (1) ◽  
pp. 45-55
Author(s):  
Ahmad Kamal Ariffin Mohd Ihsan ◽  
◽  
Nik Abdullah Nik Mohamed ◽  
Fadhlur Rahman Mohd Romlay ◽  

2013 ◽  
Vol 560 ◽  
pp. 129-155 ◽  
Author(s):  
Roberto G. Citarella ◽  
G. Cricrì ◽  
E. Armentani

In this work, the performance of a new methodology, based on the Dual Boundary Element Method (DBEM) and applied to reinforced cracked aeronautic panels, is assessed. Such procedure is mainly based on two-dimensional stress analyses, whereas the three-dimensional modelling, always implemented in conjunction with the sub-modelling approach, is limited to those situations in which the so-called secondary bending effects cannot be neglected. The connection between the different layers (patches and main panel) is realised by rivets: a peculiar original arrangement of the rivet configuration in the two-dimensional DBEM model allows to take into account the real in-plane panel stiffness and the transversal rivet stiffness, even with a two dimensional approach. Different in plane loading configurations are considered, depending on the presence of a biaxial or uniaxial remote load. The nonlinear hole/rivet contact, is simulated by gap elements when needed. The most stressed skin holes are highlighted, and the effect of through the thickness cracks, initiated from the aforementioned holes, is analysed in terms of stress redistribution, SIF evaluation and crack propagation. The two-dimensional approximation for such kind of problems is generally not detrimental to the accuracy level, due the low thickness of involved panels, and is particularly efficient for studying varying reinforcement configurations, where reduced run times and a lean pre-processing phase are prerequisites.The accuracy of the proposed approach is assessed by comparison with Finite Element Method (FEM) results and experimental tests available in literature.This approach aims at providing a general purpose prediction tool useful to improve the understanding of the fatigue resistance of aeronautic panels.KEYWORDSDBEM, full scale aeronautic panel, 2D/3D crack growth, MSD, doubler-skin assembly, damage tolerance


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