Interlaminar Crack Propagation Analysis of ENF Specimens Based on the Cohesive Zone Model

DENG Jian; XIAO Pengcheng; WANG Zengxian; SHAO Guangran; LU Tianjian

doi:10.21656/1000-0887.430082

Volume 43 Issue 5

May 2022

Turn off MathJax

Article Contents

Article Navigation > Applied Mathematics and Mechanics > 2022 > 43(5): 515-523

DENG Jian, XIAO Pengcheng, WANG Zengxian, SHAO Guangran, LU Tianjian. Interlaminar Crack Propagation Analysis of ENF Specimens Based on the Cohesive Zone Model[J]. Applied Mathematics and Mechanics, 2022, 43(5): 515-523. doi: 10.21656/1000-0887.430082

Citation:

PDF( 12708 KB)

Interlaminar Crack Propagation Analysis of ENF Specimens Based on the Cohesive Zone Model

doi: 10.21656/1000-0887.430082

DENG Jian^{1, 2
,},
XIAO Pengcheng^{1, 2},
WANG Zengxian^{1, 2},
SHAO Guangran^{1, 2},
LU Tianjian^{1, 2
,
,}

1.
State Key Laboratory of Mechanics and Control of Mechanical Structures, Nanjing University of Aeronautics and Astronautics, Nanjing 210016, P.R.China
2.
MIIT Key Laboratory of Multifunctional Lightweight Materials and Structures, Nanjing University of Aeronautics and Astronautics, Nanjing 210016, P.R.China

Received Date: 2022-03-14
Accepted Date: 2022-03-24
Rev Recd Date: 2022-03-24

Available Online: 2022-04-13

Publish Date: 2022-05-15

Abstract

Abstract

Based on the classical laminated plate theory and the cohesive zone model, a theoretical model for general delamination cracked laminates was established for crack propagation of pure mode Ⅱ ENF specimens. Compared with the conventional beam theory, the proposed model fully considered the softening process of the cohesive zone and introduced the nonlinear behavior of ENF specimens before failure. The predicted failure load is smaller than that under the beam theory and closer to the experimental data in literatures. Compared with the beam theory with only fracture toughness considered, the proposed model can simultaneously analyze the influences of the interface strength, the fracture toughness and the initial interface stiffness on the load-displacement curves in ENF tests. The results show that, the interface strength mainly affects the mechanical behavior of specimens before failure, but has no influence on crack propagation. The fracture toughness is the main parameter affecting crack propagation, and the initial interface stiffness only affects the linear elastic loading stage. The cohesive zone length increases with the fracture toughness and decreases with the interface strength. The effect of the interface strength on the cohesive zone length is more obvious than that of the fracture toughness. When the adhesive zone tip reaches the half length of the specimen, the adhesive zone length will decrease to a certain extent.
- ENF test,
- delamination,
- cohesive zone,
- crack

FullText(HTML)

References(16)

References

[1]	赵丽滨, 龚愉, 张建宇. 纤维增强复合材料层合板分层扩展行为研究进展[J]. 航空学报, 2019, 40(1): 522509. (ZHAO Libin, GONG Yu, ZHANG Jianyu. A survey on delamination growth behavior in fiber reinforced composite laminates[J]. Acta Aeronautica et Astronautica Sinica, 2019, 40(1): 522509.(in Chinese)
[2]	姚辽军, 赵美英, 万小朋. 基于CDM-CZM的复合材料补片补强参数分析[J]. 航空学报, 2012, 33(4): 666-671. (YAO Liaojun, ZHAO Meiying, WAN Xiaopeng. Parameter analysis of composite laminates with patched reinforcement based on CDM-CZM[J]. Acta Aeronautica et Astronautica Sinica, 2012, 33(4): 666-671.(in Chinese)
[3]	BENNATI S, FISICARO P, VALVO P S. An enhanced beam-theory model of the mixed-mode bending (MMB) test, part Ⅰ: literature review and mechanical model[J]. Meccanica, 2013, 48(2): 443-462. doi: 10.1007/s11012-012-9686-3
[4]	BENNATI S, FISICARO P, VALVO P S. An enhanced beam-theory model of the mixed-mode bending (MMB) test, part Ⅱ: applications and results[J]. Meccanica, 2013, 48(2): 465-484. doi: 10.1007/s11012-012-9682-7
[5]	HASHEMI S, KINLOCH A, WILLIAMS J. The analysis of interlaminar fracture in uniaxial fibre-polymer composites[J]. Proceedings of the Royal Society of London, 1990, 427(1872): 173-199.
[6]	CARLSSON L, GILLESPIE J, PIPES R. On the analysis and design of the end notched flexure (ENF) specimen for mode Ⅱ testing[J]. Journal of Composite Materials, 1986, 20(6): 594-604. doi: 10.1177/002199838602000606
[7]	FAN C, JAR P, CHENG J. Revisit the analysis of end-notched-flexure (ENF) specimen[J]. Composites Science and Technology, 2006, 66(10): 1497-1498. doi: 10.1016/j.compscitech.2006.01.016
[8]	VALVO P S. Does shear deformability influence the mode Ⅱ delamination of laminated beams?[C]//17th European Conference on Fracture(ECF17). 2008.
[9]	WHITNEY J, GILLESPIE J, CARLSSON L. Singularity approach to the analysis of the end notch flexure specimen[C]//American Society for Composites Second Technical Conference. 1987: 391-398.
[10]	WHITNEY J. Analysis of interlaminar mode Ⅱ bending specimens using a higher order beam theory[J]. Journal of Reinforced Plastics and Composites, 1990, 9(6): 522-536. doi: 10.1177/073168449000900601
[11]	WILLIAMS J. End corrections for orthotropic DCB specimens[J]. Composites Science and Technology, 1989, 35(4): 367-376. doi: 10.1016/0266-3538(89)90058-4
[12]	陈瑛, 乔丕忠. 4ENF黏聚解析模型分析[J]. 河海大学学报(自然科学版), 2008, 36(2): 234-237. (CHEN Ying, QIAO Pizhong. Cohesive analytic model of 4ENF specimen[J]. Journal of Hohai University (Natural Sciences), 2008, 36(2): 234-237.(in Chinese)
[13]	刘伟先, 周光明, 王新峰. 复合材料ENF试件裂纹扩展理论分析[J]. 航空学报, 2014, 35(1): 187-194. (LIU Weixian, ZHOU Guangming, WANG Xinfeng. Theoretical analysis of crack propagation of composite ENF specimens[J]. Acta Aeronautica et Astronautica Sinica, 2014, 35(1): 187-194.(in Chinese)
[14]	REDDY J. Mechanics of Laminated Composite Plates and Shells: Theory and Analysis[M]. CRC Press, 2004.
[15]	PARK K, PAULINO G. Cohesive zone models: a critical review of traction-separation relationships across fracture surfaces[J]. Applied Mechanics Reviews, 2011, 64(6): 060802. doi: 10.1115/1.4023110
[16]	HARPER P, HALLETT S. Cohesive zone length in numerical simulations of composite delamination[J]. Engineering Fracture Mechanics, 2008, 75(16): 4774-4792. doi: 10.1016/j.engfracmech.2008.06.004