scholarly journals Irregular lattice model for quasistatic crack propagation

2005 ◽  
Vol 71 (9) ◽  
Author(s):  
J. E. Bolander ◽  
N. Sukumar
Keyword(s):  
Crack Propagation ◽  
Lattice Model

Cellular Automata to Simulate Crack Propagation of Quasi-Brittle Materials

2011 ◽  
Vol 90-93 ◽  
pp. 748-751 ◽  
Author(s):  
Jun Lian He ◽  
Ming Tian Li
Keyword(s):  
Cellular Automata ◽  
Crack Propagation ◽  
Lattice Model ◽  
Experimental Results ◽  
Homogeneous Material ◽  
Cellular Automata Model ◽  
Secondary Cracks ◽  
Good Accordance ◽  
Cellular Automaton Method ◽  
Theoretical Results

Crack propagation in quasi-brittle material such as rock and concrete is studied by a new numerical method, lattice cellular automata. Cellular automaton method is an efficient method that simulates the process of self-organization of the complex system by constructing some simple local rules. It is of the advantage of localization and parallelization. Lattice model can transform a complex triaxial problem into a simpler uniaxial problem as well as consider the heterogeneity of the materials. Lattice cellular automata integrate advantages of both cellular automata and lattice model. In this paper the importance of the study of crack propagation, fundamentals and applications of cellular automata are briefly introduced firstly. Then the cellular automata model is presented, and in order to verify lattice cellular automata, the propagation of mode-I crack in homogeneous material is studied. Results of the numerical simulation are in good accordance with the experimental results and theoretical results of classical fracture mechanics. Furthermore, based on lattice cellular automata, the crack propagation of single crack under uniaxial compression was simulated. During the crack growth the wing crack and secondary cracks were found. The simulation results were consistent with the experimental results.

Crack propagation simulation of concrete with the regular triangular lattice model

2005 ◽  
Vol 2 (2) ◽  
pp. 165-176 ◽  
Author(s):  
Byung-Wan Jo ◽  
Ghi-Ho Tae ◽  
Erik Schlangen ◽  
Chang-Hyun Kim
Keyword(s):  
Crack Propagation ◽  
Triangular Lattice ◽  
Lattice Model

scholarly journals Mixed Mode Crack Propagation in Polymers Using a Discrete Lattice Method

Polymers ◽  
2021 ◽  
Vol 13 (8) ◽  
pp. 1290
Author(s):  
Matías Braun ◽  
Josué Aranda-Ruiz ◽  
José Fernández-Sáez
Keyword(s):  
Crack Propagation ◽  
Lattice Model ◽  
Nearest Neighbor ◽  
Peak Load ◽  
Polymeric Materials ◽  
Discrete Models ◽  
Lattice Method ◽  
Crack Propagation Process ◽  
Static Fracture ◽  
Selection Of

The fracture behavior of polymeric materials has been widely studied in recent years, both experimentally and numerically. Different numerical approaches have been considered in the study of crack propagation processes, from continuum-based numerical formulations to discrete models, many of the latter being limited in the selection of the Poisson’s coefficient of the considered material. In this work, we present a numerical and experimental analysis of the crack propagation process of polymethylmethacrylate beams with central and eccentric notches subjected to quasi-static three-point bending tests. The developed discrete numerical model consists of a regular triangular lattice model based on axial and normal interaction springs, accounting for nearest-neighbor interactions. The proposed model allows solving the above mentioned limitation in the selection of Poisson’s coefficient, incorporating a fracture criterion defined by a bilinear law with softening that includes the fracture energy in the formulation and allows considering a progressive damage. One of the main objectives of this work is to show the capacity of this lattice to simulate quasi-static fracture problems. The obtained results show that the proposed lattice model is capable of providing results close to the experimental ones in terms of crack pattern, peak load and initial stiffening.

Mechanism of irregular crack-propagation in thermal controlled fracture of ceramics induced by microwave

2020 ◽  
Vol 21 (6) ◽  
pp. 610
Author(s):  
Xiaoliang Cheng ◽  
Chunyang Zhao ◽  
Hailong Wang ◽  
Yang Wang ◽  
Zhenlong Wang
Keyword(s):  
Crack Propagation ◽  
Industrial Application ◽  
Ceramic Materials ◽  
Advanced Technology ◽  
Analytical Models ◽  
Propagation Mechanism ◽  
Unstable Crack ◽  
Fracture Simulation ◽  
Initial Stage ◽  
Controlled Fracture

Microwave cutting glass and ceramics based on thermal controlled fracture method has gained much attention recently for its advantages in lower energy-consumption and higher efficiency than conventional processing method. However, the irregular crack-propagation is problematic in this procedure, which hinders the industrial application of this advanced technology. In this study, the irregular crack-propagation is summarized as the unstable propagation in the initial stage, the deviated propagation in the middle stage, and the non-penetrating propagation in the end segment based on experimental work. Method for predicting the unstable propagation in the initial stage has been developed by combining analytical models with thermal-fracture simulation. Experimental results show good agreement with the prediction results, and the relative deviation between them can be <5% in cutting of some ceramics. The mechanism of deviated propagation and the non-penetrating propagation have been revealed by simulation and theoretical analysis. Since this study provides effective methods to predict unstable crack-propagation in the initial stage and understand the irregular propagation mechanism in the whole crack-propagation stage in microwave cutting ceramics, it is of great significance to the industrial application of thermal controlled fracture method for cutting ceramic materials using microwave.

High Cycle Fatigue and Fatigue Crack Propagation Behaviors of Modified A7075-T73 Alloy

2014 ◽  
Vol 52 (4) ◽  
pp. 283-291 ◽  
Author(s):  
Gwan Yeong Kim ◽  
Kyu Sik Kim ◽  
Joong Cheol Park ◽  
Shae Kwang Kim ◽  
Young Ok Yoon ◽  
...  
Keyword(s):  
Fatigue Crack ◽  
Crack Propagation ◽  
Fatigue Crack Propagation ◽  
High Cycle Fatigue ◽  
Cycle Fatigue
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