| A continuous-discontinuous cellular automaton method for cracks growth and coalescence in brittle material简 |
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| 作者姓名： | Fei Yan Xia-Ting Feng Peng-Zhi Pan Shao-Jun Li |
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| 基金项目： | supported by the National Key Basic Research Program of China(2013CB036405);the National Natural Science Foundation of China(11002154,41272349,and 41372315);the CAS/SAFEA International Partnership Program for Creative Research Teams(KZCX2-YW-T12) |
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| 摘 要： | A method of continuous-discontinuous cellular automaton for modeling the growth and coalescence of multiple cracks in brittle material is presented. The method uses the level set to track arbitrary discontinuities, and calculation grids are independent of the discontinuities and no remeshing are required with the crack growing. Based on Grif- fith fracture theory and Mohr-Coulumb criterion, a mixed fracture criterion for multiple cracks growth in brittle mate- rial is proposed. The method treats the junction and coales- cence of multiple cracks, and junction criterion and coales- cence criterion for brittle material are given, too. Besides, in order to overcome the tracking error in the level set ap- proximation for crack junction and coalescence, a dichotomy searching algorithm is proposed. Introduced the above the- ories into continuous-discontinuous cellular automaton, the present method can be applied to solving multiple crack growth in brittle material, and only cell stiffness is needed and no assembled global stiffness is needed. Some numerical examples are given to shown that the present method is efficient and accurate for crack junction, coalescence and percolation problems.
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| 关 键 词： | 准脆性材料 元胞自动机 多裂纹 聚合 非连续 跟踪误差 计算网格 网格重构 |
A continuous-discontinuous cellular automaton method for cracks growth and coalescence in brittle material |
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| Fei Yan,Xia-Ting Feng,Peng-Zhi Pan,Shao-Jun Li.A continuous-discontinuous cellular automaton method for cracks growth and coalescence in brittle material[J].Acta Mechanica Sinica,2014,30(1):73-83. |
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| Authors: | Fei Yan Xia-Ting Feng Peng-Zhi Pan Shao-Jun Li |
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| Institution: | 1. State Key Laboratory of Geomechanics and Geotechnical Engineering, Institute of Rock and Soil Mechanics, Chinese Academy of Science, 430071, Wuhan, China
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| Abstract: | A method of continuous-discontinuous cellular automaton for modeling the growth and coalescence of multiple cracks in brittle material is presented. The method uses the level set to track arbitrary discontinuities, and calculation grids are independent of the discontinuities and no remeshing are required with the crack growing. Based on Griffith fracture theory and Mohr-Coulumb criterion, a mixed fracture criterion for multiple cracks growth in brittle material is proposed. The method treats the junction and coalescence of multiple cracks, and junction criterion and coalescence criterion for brittle material are given, too. Besides, in order to overcome the tracking error in the level set approximation for crack junction and coalescence, a dichotomy searching algorithm is proposed. Introduced the above theories into continuous-discontinuous cellular automaton, the present method can be applied to solving multiple crack growth in brittle material, and only cell stiffness is needed and no assembled global stiffness is needed. Some numerical examples are given to shown that the present method is efficient and accurate for crack junction, coalescence and percolation problems. ![src=]() |
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| Keywords: | Continuous-discontinuous cellular automaton method Multiple crack growth Discontinuous cellular au-tomaton Junction criterion Coalescence criterion |
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