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 Fatigue of thin periodic triangular lattice plates

2019 ◽  
Vol 300 ◽  
pp. 03002 ◽  
Author(s):  
Yifan Li ◽  
Anton Shterenlikht ◽  
Martyn Pavier ◽  
Harry Coules
Keyword(s):  
Fatigue Crack ◽  
Crack Propagation ◽  
Triangular Lattice ◽  
Crack Propagation Rate ◽  
Propagation Rate ◽  
Fatigue Tests ◽  
Fatigue Properties ◽  
Fatigue Crack Propagation Rate ◽  
Stress And Strain ◽  
Effective Stress Intensity Factor

A method for predicting the fatigue life of triangular lattices is proposed in this paper by considering fatigue properties of single lattice struts. Fatigue tests of different sizes of lattice plates of aluminium alloy, and tests of single struts with different maximum fluctuating loads, have been conducted to validate this method. It is found that the struts in a triangular lattice break near to strut intersections, where stress and strain concentrations occur. Similar crack propagation paths were observed in different lattice plate specimens: the cracks grew at a 30° angle to the initial edge crack in the upper half of lattice plate. The mixed-mode fatigue crack propagation rate was also studied and expressed using an effective stress intensity factor. A size effect on the crack growth rate of triangular lattice plates was also observed: a fatigue crack will propagate slightly quicker in larger triangular plates than in smaller ones.

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.

scholarly journals Spiral magnetism and chiral superconductivity in a Kondo-Hubbard triangular lattice model

2022 ◽  
Vol 105 (4) ◽  
Author(s):  
O. Ndiaye ◽  
D. Dione ◽  
A. Traoré ◽  
A. S. Ndao ◽  
J. P. L. Faye
Keyword(s):  
Triangular Lattice ◽  
Lattice Model
Sign in / Sign up

Export Citation Format

Share Document