适合裂尖穿越界面行为分析的断裂模拟方法研究

陈昌荣

doi:10.3879/j.issn.1000-0887.2014.09.004

适合裂尖穿越界面行为分析的断裂模拟方法研究

doi: 10.3879/j.issn.1000-0887.2014.09.004

陈昌荣

上海工程技术大学飞行学院,上海 201620

基金项目: 国家自然科学基金（51175321）

详细信息

作者简介:
陈昌荣（1964—），男，湖北宜昌人，教授，博士，民航高级理论教员（E-mail: 13761742152@163.com）.

中图分类号: O343
计量
- 文章访问数: 1229
- HTML全文浏览量: 126
- PDF下载量: 896
- 被引次数: 0
出版历程
- 收稿日期: 2014-03-10
- 修回日期: 2014-05-05
- 刊出日期: 2014-09-15

On the Fracture Modeling Method for Crack Tips Penetrating Elastic Interfaces

CHEN Chang-rong

School of Flight Technology, Shanghai University of Engineering Science, Shanghai 201620, P.R.China

Funds: The National Natural Science Foundation of China（51175321）

摘要

摘要: 分析了线弹性断裂力学在模拟裂尖垂直穿越弹性界面行为时存在的理论缺陷；对理想化的层状弹性材料，采用内聚力模型研究了界面前方材料的内聚强度对裂尖穿越界面行为的影响；根据有限元计算结果，讨论了内聚力模型与线弹性断裂力学在模拟裂纹垂直于界面扩展时的差别.计算结果显示，界面前方材料的内聚强度大小对裂尖穿越界面行为有重要影响，是导致内聚力模型与线弹性断裂力学模型计算结果差异的关键因素.计算结果分析表明：研究复杂材料中裂纹扩展行为时，不仅需要一个基于能量的断裂准则，还需要补加一个强度准则，内聚力模型在理论上符合这一要求.
- 内聚力模型 /
- 断裂过程区 /
- 裂纹扩展准则 /
- 弹性界面
Abstract: 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.
- cohesive zone model /
- fracture process zone /
- crack growth criterion /
- elastic interface

HTML全文

参考文献(13)

[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))