CAI Yan-hong, CHEN Hao-ran, TANG Li-qiang, YAN Cheng, JIANG Wan. Dynamic Stress Intensity Factor Analysis of Adhesively Bonded Material Interface With Damage Under Shear Loading[J]. Applied Mathematics and Mechanics, 2008, 29(11): 1376-1386.
 Citation: CAI Yan-hong, CHEN Hao-ran, TANG Li-qiang, YAN Cheng, JIANG Wan. Dynamic Stress Intensity Factor Analysis of Adhesively Bonded Material Interface With Damage Under Shear Loading[J]. Applied Mathematics and Mechanics, 2008, 29(11): 1376-1386.

• Rev Recd Date: 2008-09-26
• Publish Date: 2008-11-15
• The dynamic stress intensity factor (DSIF) at the interface in an adhesive joint under shear loading is investigated. The material damage was considered. By introducing dislocation density function and using integral transform, the problem was reduced to algebraic equations and could be solved with collocation dots method in the Laplace domain. Finally, the time response of DSIF was calculated with the inverse Laplace integral transform. The conclusions show that the mode Ⅱ DSIF increases with the shear relaxation parameter, shear module and Poisson ratio, but decreases with swell relaxation parameter. Damage shielding only occurs at the initial stage of crack propagation. The singular index of crack tip is 0.5 and independent of the material parameters and damage conditions of materials and time. The oscillatory index is controlled by viscoelastic material parameters.
•  [1] 张丽新,杨士勤,何世禹，等. 在空间环境因素作用下胶接材料的损伤行为[J]. 中国胶粘剂,2001,10(4):42-48. [2] Choupani Naghdali. Interfacial mixed-mode fracture characterization of adhesively bonded joints[J].International Journal of Adhesion & Adhesives，2008,28(6):267-282. [3] Goyal Vinay K, Johnson Eric R,Goyal Vijay K. Predictive strength-fracture model for composite bonded joints[J].Composite Structures,2008,82(3): 434-446. [4] Liljedahl C D M, Crocombe A D, Wahab M A,et al.Modelling the environmental degradation of adhesively bonded aluminium and composite joints using a CZM approach[J].International Journal of Adhesion & Adhesives,2007,27(6):505-518. [5] Casas-Rodriguez J P, Ashcroft I A,Silberschmidt V V. Damage in adhesively bonded CFRP joints: Sinusoidal and impact-fatigue[J].Composites Science and Technology,2008, DOI: 10.1016/j.compscitech.2008.04.030. [6] Roberta Rizza, Kevinb Meade. No-slip crack model for damaged bone/cement interface[J].Engineering Fracture Mechanics,2003,70(6):757-773. [7] Papanikos P, Tserpes K I, Labeas G,et al.Progressive damage modelling of bonded composite repairs[J].Theoretical and Applied Fracture Mechanics,2005,43(2):189-198. [8] Nayeb-Hashemi H, Swet D,Vaziri A.New electrical potential method for measuring crack growth in nonconductive materials[J].Measurement,2004,36(2):121-129. [9] Guo T F, Cheng L. Vapor pressure and void size effects on failure of a constrained ductile film [J].Journal of the Mechanics and Physics of Solids,2003,51(6):993-1014. [10] Xu L Roy, Rosakis Ares J.An experimental study of impact-induced failure events in homogeneous layered materials using dynamic photoelasticity and high-speed photography[J].Optics and Lasers in Engineering,2003,40(4):263-288. [11] 张凤鹏，黄宝宗.复合材料层板分层尖端微裂纹损伤演变分析[J].高压物理学报. 1999，13(增刊):349-352. [12] 刘忠. 考虑裂尖损伤的黏弹性裂纹扩展规律[J]. 湘潭大学自然科学学报,1997, 19(2):38-42. [13] 黄西成. 聚合物材料损伤理论[J].应用数学和力学,1999,19(3):325-329. [14] 樊建平，沈为，彭立华. 树脂基复合材料蠕变损伤本构方程[J]. 华中理工大学学报,1996,24(增刊(Ⅱ)):100-102. [15] 蔡艳红，陈浩然，王灿. 无限长条板中弹性与黏弹性界面裂纹尖端场[J]. 复合材料学报,2005,22(6): 156-164. [16] Erdogan F. Mixed boundary value problems[J].Mechanics Today,1978,6(4):1-86. [17] Wwi P J,Zhang S Y. Singularity of dynamic stress fields around an interface crack between viscoelastic bodies [J].International Journal of Fracture,2004,126(2):165-177. [18] Erdogan F, Gupta G D, Cook T S.Numerical solution of singular integral equation[A].In: G C Sih,Ed.Mechanics of Fracture 1, Methods of Analysis and Solutions of Crack Problems[C].Noordhoff, Leyden: International Publishing, 1973, 368-425. [19] Erdogan F, Wu B H. Crack problem in FGM layers under thermal stresses[J].J Thermal Stresses,1996,19(3):237-265. [20] Rice J. Elastic fracture mechanics concepts for interfacial cracks[J].J Appl Mech,1988,55(1):98-103.

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