CHEN Chang-rong. On the Fracture Modeling Method for Crack Tips Penetrating Elastic Interfaces[J]. Applied Mathematics and Mechanics, 2014, 35(9): 979-985. doi: 10.3879/j.issn.1000-0887.2014.09.004
Citation: CHEN Chang-rong. On the Fracture Modeling Method for Crack Tips Penetrating Elastic Interfaces[J]. Applied Mathematics and Mechanics, 2014, 35(9): 979-985. doi: 10.3879/j.issn.1000-0887.2014.09.004

On the Fracture Modeling Method for Crack Tips Penetrating Elastic Interfaces

doi: 10.3879/j.issn.1000-0887.2014.09.004
Funds:  The National Natural Science Foundation of China(51175321)
  • Received Date: 2014-03-10
  • Rev Recd Date: 2014-05-05
  • Publish Date: 2014-09-15
  • The theoretical defects of the linear elastic fracture mechanics in modeling crack tips passing through elastic interfaces were analyzed; for an idealized layered material, the cohesive zone model was applied to study the effects of the material cohesive strength ahead of the interface on the behavior of a crack perpendicularly approaching and penetrating an elastic interface; based on the finite element calculation results, the difference between the cohesive zone model and the linear elastic fracture mechanics in simulating a perpendicular crack near an elastic interface was discussed. The results show that the material cohesive strength ahead of the interface is the key factor causing the simulation difference between the cohesive zone model and the linear elastic fracture mechanics. The study gives the conclusion that, to model the crack growth in complex materials, the strength criterion is needed in addition to the traditional energy-based fracture criterion, and the cohesive zone model theoretically satisfies this requirement.
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  • [1]
    Chen C R, Pascual J, Fischer F D, Kolednik O, Danzer R. Prediction of the fracture toughness of a ceramic multilayer composite: modeling and experiments[J].Acta Mater,2007,55 (2): 409-421.
    [2]
    Simh N K, Fischer F D, Kolednik O, Chen C R. Inhomogeneity effects on the crack driving force in elastic and elastic-plastic materials[J].J Mech Phys Solids,2003,51(1): 209-240.
    [3]
    Romeo A, Ballarini R. A cohesive zone model for cracks terminating at a bimaterial interface[J].Int J Solid Struct,1997,34(11): 1307-1326.
    [4]
    Wappling D, Gunnars J, Stahle P. Crack growth across a strength mismatched bimaterial interface[J].Int J Fract,1998,89(3): 223-243.
    [5]
    Cornetti P, Pugno N, Carpinteri A, Taylor D. Finite fracture mechanics: a coupled stress and energy failure criterion[J].Eng Fract Mech,2006,73(14): 2021-2033.
    [6]
    Lee J J W, Lloyd I K, Chai H, Jung Y G, Lawn B R. Arrest, deflection, penetration and reinitiation of cracks in brittle layers across adhesive inter-layers[J].Acta Mater,2007, 55(17): 5859-5866.
    [7]
    何铭华, 辛克贵. 粘聚律的分离功分析以及一种一致关联粘聚律[J]. 应用数学和力学, 2011,32(11): 1342-1351.(HE Ming-hua, XIN Ke-gui. Separation work analysis of cohesive law and consistently coupled cohesive law[J].Appl Math Mech,2011,32(11): 1342-1351.(in Chinese))
    [8]
    An B B, Zhang D S. Study of rising fracture toughness of human dentin with the cohesive zone modeling[J].Chinese Journal of Solid Mechanics,2011,32(3): 277-281.
    [9]
    Lee J J W, Chai H, Lloyd I K, Lawn B R. Crack propagation across an adhesive interlayer in flexural loading[J].Scripta Mater,2007,57(12): 1077-1080.
    [10]
    Chen C R, Bermejo R, Kolednik O. Numerical analysis on special cracking phenomena of residual compressive inter-layer in ceramic laminates[J].Eng Fract Mech,2010,77(13): 2567-2576.
    [11]
    Simha N K, Fischer F D, Shan G X, Chen C R, Kolednik O.J -integral and crack driving force in elastic-plastic materials[J].J Mech Phys Solids,2008,56(9): 2876-2895.
    [12]
    Chen C R, Kolednik O, Scheider I, Siegmund T, Tatschl T, Fischer F D. On the determination of the cohesive zone parameters for the modeling of micro-ductile crack growth in thick specimens[J].Int J Fract,2003,120(3): 517-536.
    [13]
    Lawn B. 脆性固体断裂力学[M]. 龚江宏 译. 北京: 高等教育出版社, 2010.(Lawn B.Fracture of Brittle Solids [M]. GONG Jiang-hong transl. Beijing: Higher Education Press, 2010.(in Chinese))
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