考虑夹杂相互作用的复合陶瓷夹杂界面的断裂分析

付云伟; 张龙; 倪新华; 刘协权; 于金凤; 陈诚

doi:10.6052/0459-1879-14-399

考虑夹杂相互作用的复合陶瓷夹杂界面的断裂分析

1.
军械工程学院火炮工程系, 石家庄 050003
2. 军械工程学院车辆与电气工程系, 石家庄 050003
3. 军械工程学院基础部, 石家庄 050003
4. 中国人民解放军78638部队, 什邡 618400

基金项目: 国家自然科学基金资助项目(11272355).

详细信息

通讯作者:
付云伟,博士研究生,研究方向:复合材料损伤与断裂.E-mail:fywoec@163.com

中图分类号: O346
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出版历程
- 收稿日期: 2014-12-09
- 修回日期: 2015-10-20
- 刊出日期: 2016-01-17

INTERFACE CRACKING ANALYSIS WITH INCLUSIONS INTERACTION IN COMPOSITE CERAMIC

1.
Department of Artillery Engineering, Ordnance Engineering College, Shijiazhuang 050003, China
2. Department of Vehicle and Electric Engineering, Ordnance Engineering College, Shijiazhuang 050003, China
3. Department of Basic Course, Ordnance Engineering College, Shijiazhuang 050003, China
4. Unit No.78638 of PLA, Shifang 618400, China

摘要

摘要: 复合材料中夹杂含量较高时,夹杂间的相互作用能显著改变材料细观应力应变场分布,基体和夹杂中的平均应力应变水平也会发生较大变化,导致复合材料强度等力学性能发生显著变化. 为修正单一夹杂模型运用在实际材料中的误差,基于相互作用直推估计法,建立一种考虑含夹杂相互作用的夹杂界面裂纹开裂模型. 首先根据相互作用直推估计法,得到残余应力和外载应力共同作用下夹杂中的平均应力,再计算无限大基体中相同的夹杂达到相同应力场时的等效加载应力,将此加载应力作为含界面裂纹夹杂的等效应力边界条件,在此边界条件下求得界面裂纹尖端的应力强度因子,进而得到界面裂纹开裂的极限加载条件,并分析了夹杂弹性性能、含量、热残余应力、夹杂尺寸等因素对界面裂纹开裂条件的影响. 结果表明,方法能够有效修正单夹杂模型运用在实际材料中的误差,较大的残余应力对界面裂纹开裂有重要的影响,夹杂刚度的影响并非单调且比较复杂;在残余应力较小时,降低柔性夹杂刚度或者增大刚性夹杂刚度都有利于提高材料强度;扩大夹杂尺寸将导致裂纹开裂极限应力显著降低,从而降低材料强度.
- 圆形夹杂 /
- 界面裂纹 /
- 相互作用 /
- 相互作用直推估计法 /
- 开裂应力
Abstract: Micro strain and stress field and the average field is significantly influenced by the interaction of inclusions of high volume fraction, and the composite mechanical properties changes a lot by the introduced inclusions. To reduce the error of using the theoretical model with single inclusion in real multi-inclusion-material property prediction, an inclusion interface cracking model is established based on the interaction direct derivative (IDD) estimate. Average e ective stress field is obtained under applied loading and residual stress based on the IDD estimate, then the stress intensity factor (SIF) of interface arc-crack around circular inclusion under the stress boundary condition is calculated. The critical applied stress is evaluated according to the e ective stress field and the interface arc-crack SIF, and the influence of inclusion elastic modulus, volume fraction, residual stress, and inclusion size are analysed. The result indicates that the method is e ective. Residual stress has remarkable influence to interface cracking; the critical applied stress is not monotonic and complicated with the inclusion sti ness variation when the residual stress is large, while the critical applied stress is increasing with the soft inclusion decreasing the sti ness and the sti inclusion increasing the sti ness when the residual stress is small; large size inclusion decreases the critical applied stress and detrimental to composite strength.
- circular inclusion /
- interface crack /
- interaction /
- the interaction direct derivative estimate /
- crack stress

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参考文献(33)

1 Eshelby JD. The determination of the elastic field of an ellipsoidal inclusion and related problems. Proc Royal Soc, 1957, A241: 376-396

2 Hill R. A self-consistent mechanics of composite materials. J Mech Phys Solids, 1965, 13: 213-222

3 Budiansky B. On the elastic modules of some heterogeneous materials. J Mech Phys Solids, 1965, 13: 223-227

4 Mori T, Tanaka K. Average stress in matrix and average energy of materials with misfitting inclusion. Act Metal, 1973, 21: 571-574

5 Zheng QS, Du DX. An explicit and universally applicable estimate for the e ective properties of multiphase composites which accounts for inclusion distribution. J Mech Phys Solids, 2001, 49(11): 2765-2788

6 Du DX, Zheng QS. A further exploitation on the e ective selfconsistent scheme and IDD estimate for the e ective properties of multiphase composites which accounts for inclusion distribution. Acta Mech, 2001, 157(1-4): 61

7 Kang H, Milton GW. Solutions to the Pólya-Szegö conjecture and the weak Eshelby conjecture. Archive for Rational Mechanics and Analysis, 2008, 188(1): 93-116

8 Liu LP. Solutions to the Eshelby conjectures. Proceedings of the Royal Society of London A, 2008, 464: 573-594

9 Zou WN, He QC, Huang MJ, et al. Eshelby's problem of nonelliptical inclusions. Journal of the Mechanics and Physics of Solids,2010, 58: 346-372

10 Huang MJ, Wu P, Guan GY, et al. Explicit expressions of the Eshelby tensor for an arbitrary 3D weakly non-spherical inclusion. Acta Mech, 2011, 217: 17-38

11 Xu BX,Wang MZ. Special properties of Eshelby tensor for a regular polygonal inclusion. Acta Mech Sinica, 2005, 21: 267-271

12 Shodja HM. Shokrolahi-Zadeh B. Ellipsoidal domains: piecewise nonuniform and impotent eigenstrain fields. J Elasticity, 2007, 86:1-18

13 Jasiuk I, Tsuchida E, Mura T. The sliding inclusion under shear. Int J Solids Struct, 1987, 23(10): 1373-1385

14 Mura T, Jasiuk I, Tsuchida B. The stress field of a sliding inclusion. Int J Solids Struct, 1985, 21(12): 1165-1179

15 Xu BX, Mueller R, Wang MZ. The Eshelby property of sliding inclusions. Arch Appl Mech, 2011, 81: 19-35

16 Bonfoh N, Hounkpati V, Sabar H. New micromechanical approach of the coated inclusion problem: Exact solution and applications. Computational Materials Science, 2012, 62: 175-183

17 Duan HL, Wang J, Huang ZP, et al. Eshelby formalism for nanoinhomogeneities. Mathematical, Physical and Engineering Sciences,2005, 461(2062): 3335-3353

18 Prasad PBN, Simha KRY. Interface crack around circular inclusion: SIF, kinking, debonding energetics. Engineering Fracture Mechanics,2003, 70: 285-307

19 Toya M. A crack along the interface of a circular inclusion embedded in an infinite solid. J Mech Phys Solids, 1974, 22: 325-348

20 Chao R, Laws N. Closure of an arc crack in an isotropic homogeneous material due to uniaxial loading. Q Jl Mech Appl Math, 1992,45: 629-640

21 Chen YZ, Chen RS. Interaction between curved crack and elastic inclusion in an infinite plate. Archive of Applied Mechanics, 1997, 67:566-575

22 Chen JK,Wang GT, Yu ZZ, et al. Critical particle size for interfacial debonding in polymer/nanoparticle composites. Composites Science and Technology, 2010, 70: 861-872

23 Moorthy S, Ghosh S. A Voronoi cell finite element model for particle cracking in elastic-plastic composite materials. Comput Methods Appl Mech Engrg, 1998, 151: 377-400

24 Caballero A, López CM, Carol I. 3D meso-structural analysis of concrete specimens under uniaxial tension. Comput. Methods Appl Mech Engrg, 2006, (195): 7182-7195

25 Wang D, Zhao J, Zhou Yonghui, et al. Extended finite element modeling of crack propagation in ceramic tool materials by considering the microstructural features. Computational Materials Science,2013, 77: 236-244

26 England AH. An arc crack around a circular elastic inclusion. J Appl Mech, 1966, 32: 637-640

27 郭荣鑫, Lormand G, 李俊昌. 夹杂物问题应力场的数值计算. 昆明理工大学学报(理工版), 2004, 29(3): 51-55 (Guo Rongxin, Lormand G, Li Junchang. Numerical calculation of the stress field for the inclusion problem. Journal of Kunming University of Science and Technology(Science and Technology), 2004, 29(3): 51-55 (in Chinese))

28 Shodja HM, Rad IZ, Soheilifard R. Interacting cracks and ellipsoidal inhomogeneities by the equivalent inclusion method. Journal of the Mechanics and Physics of Solids, 2003, 51: 945-960

29 Li ZH, Yang LH. The application of the Eshelby equivalent inclusion method for unifying modulus and transformation toughening. International Journal of Solids and Structures, 2002, 39: 5225-5240

30 Othmani Y, Delannay L, Doghri I. Equivalent inclusion solution adapted to particle debonding with a non-linear cohesive law. International Journal of Solids and Structures, 2011, 48: 3326-3335

31 Lee HK, Pyo SH. Multi-level modeling of e ective elastic behavior and progressive weakened interface in particulate composites. Composites Science and Technology, 2008, 68: 387-397

32 Hong T. Sti ness properties of particulate composites containing debonded particles. International Journal of Solids and Structures,2010, 47: 2191-2200

33 Mura T. Micromechanics of Defects in Solids. 2nd edn. Martinus Nijho Publishers, 1987

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