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浙江大学学报(工学版)
浙江大学学报(工学版)  2024, Vol. 58 Issue (1): 197-206    DOI: 10.3785/j.issn.1008-973X.2024.01.021
机械工程、电气工程     
微细金属Z-pin对复合材料开孔板压缩性能的影响
宋小文1,2(),杜嘉成3,费少华1,2,丁会明1,2,4,*(),王金良3,高宇1,2
1. 浙江大学 流体动力与机电系统国家重点实验室，浙江 杭州 310027
2. 浙江大学 浙江省先进制造技术重点实验室，浙江 杭州 310027
3. 浙江大学 工程师学院，浙江 杭州 310015
4. 东海实验室，浙江 舟山 316021
Effect of fine metallic Z-pin on compressive property of open-hole composite laminate
Xiaowen SONG1,2(),Jiacheng DU3,Shaohua FEI1,2,Huiming DING1,2,4,*(),Jinliang WANG3,Yu GAO1,2
1. State Key Laboratory of Fluid Power and Mechatronic System, Zhejiang University, Hangzhou 310027, China
2. Key Laboratory of Advanced Manufacturing Technology of Zhejiang Province, Zhejiang University, Hangzhou 310027, China
3. Polytechnic Institute, Zhejiang University, Hangzhou 310015, China
4. Donghai Laboratory, Zhoushan 316021, China
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摘要：

通过开孔板压缩试验和建立的参数化多尺度有限元模型，获得微细(?0.11 mm)金属Z-pin植入体积分数和排布方式对开孔板压缩力学性能和失效行为的影响规律. 采用离散实体单元代表Z-pin，选用3D Hashin失效准则判断面内起始损伤，可以有效地模拟结构失效过程中扭结现象的不稳定扩展. 结果表明，所有加Z-pin开孔板的压缩强度均低于无Z-pin试样. 随着Z-pin植入体积分数的增加，Z-pin与层合板之间的桥联作用增强，加Z-pin开孔层合板压缩强度增加，开孔周围分层损伤区域受到抑制，损伤区域面积最高减小了67%. 在相同的体积分数下，Z-pin排布变化对开孔板压缩强度没有显著影响. 加Z-pin开孔板有限元模型的模拟结果与试验结果之间的最大相对误差为8.6%.
关键词： Z-pin;  复合材料;  参数化建模;  渐进损伤;  开孔层合板    
Abstract:

The influence of fine (?0.11 mm) metallic Z-pin volume fraction and arrangement on the mechanical performance and failure behavior of the open-hole laminates compression was analyzed through open-hole compression test and parametric multi-scale finite element model. Discrete solid element was employed to represent Z-pins, and the 3D Hashin failure criterion was utilized to assess the initial in-plane damage. Then the unstable propagation of kink band was effectively simulated during structural failure. Results showed that the compressive strength of all Z-pinned open-hole laminates was lower than that of specimens without Z-pins. The bridging effect between Z-pins and laminates was enhanced with an increase in Z-pin volume fraction, resulting in increased compressive strength of Z-pinned open-hole laminates. The delaminated area around the hole was suppressed, leading to a maximum reduction of 67% in the damaged area. The variation of Z-pin arrangement did not significantly affect the compression strength of open-hole laminates under the same volume fraction. The maximum relative error between the finite element model simulated results of Z-pinned open-hole laminates and experimental results was 8.6%.
Key words: Z-pin    composite    parameterized modelling    progressive damage    open-hole laminate
收稿日期: 2023-03-13 出版日期: 2023-11-07
CLC:  V 258  
基金资助: 浙江省重点研发计划资助项目（2020C01039）
通讯作者: 丁会明     E-mail: songxw@zju.edu.cn;pangding@zju.edu.cn
作者简介: 宋小文（1967—），女，教授，从事复合材料结构设计制造技术的研究. orcid.org/0000-0001-6386-9836. E-mail： songxw@zju.edu.cn
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引用本文:

宋小文,杜嘉成,费少华,丁会明,王金良,高宇. 微细金属Z-pin对复合材料开孔板压缩性能的影响[J]. 浙江大学学报(工学版), 2024, 58(1): 197-206.

Xiaowen SONG,Jiacheng DU,Shaohua FEI,Huiming DING,Jinliang WANG,Yu GAO. Effect of fine metallic Z-pin on compressive property of open-hole composite laminate. Journal of ZheJiang University (Engineering Science), 2024, 58(1): 197-206.

链接本文:

https://www.zjujournals.com/eng/CN/10.3785/j.issn.1008-973X.2024.01.021    或    https://www.zjujournals.com/eng/CN/Y2024/V58/I1/197

图 1  开孔压缩试样整体尺寸的示意图
图 2  Z-pin植入点阵的示意图
图 3  超声引导植入设备
图 4  真空固化袋
图 5  开孔压缩试验环境
图 6  开孔压缩试验与仿真载荷位移曲线
试验编号 $ \varphi $/% $ {\sigma _{\text{c}}} $/MPa $ {\text{CV}} $/%
A 0.00 335.25 3.63
B 0.15 319.65 (?4.65%) 4.62
C 0.11 317.86 (?5.19%) 4.63
D 0.04 307.26 (?8.35%) 2.49
E 0.11 317.76 (?5.22%) 3.50
表 1  开孔压缩试验结果
图 7  富树脂区的示意图[19]
图 8  开孔压缩试样的扭结带扩展过程
图 9  试样厚度方向的失效形貌
图 10  有限元模型的配置
图 11  不同失效准则的开孔压缩有限元模型计算结果
图 12  面内失效双线性退化模型[28]
参数 参数值 参数 参数值
${{{E}}_{\text{1}}}{\text{/GPa}}$ 90 ${X_{\text{T}}}/{\text{MPa}}$ 1700
${{{E}}_{\text{2}}}{\text{/GPa}}$ 7.1 ${X_{\text{C}}}/{\text{MPa}}$ 900
${{{E}}_{\text{3}}}{\text{/GPa}}$ 7.1 ${Y_{\text{T}}}/{\text{MPa}}$ 55
${\nu _{{\text{12}}}}$ 0.34 ${Y_{\text{C}}}/{\text{MPa}}$ 100
${\nu _{{\text{13}}}}$ 0.34 ${Z_{\text{T}}}/{\text{MPa}}$ 55
${\nu _{{\text{23}}}}$ 0.4 ${Z_{\text{C}}}/{\text{MPa}}$ 100
${G_{{\text{12}}}}{\text{/MPa}}$ 2700 ${S_{ {\text{12} } } }{\text{/MPa} }$ 100
${G_{{\text{13}}}}{\text{/MPa}}$ 2700 ${S_{ {\text{13} } } }{\text{/MPa} }$ 100
${G_{{\text{23}}}}{\text{/MPa}}$ 2500 ${S_{ {\text{23} } } }{\text{/MPa} }$ 55
表 2  有限元模型的单层板材料性能参数[29–31]
参数 参数值
Cohesive单元 Z-pin Cohesive接触
${K_{ {\text{nn} } } }/({\text{N} }\cdot{\text{mm} }^{-3} )$ 5×104 2188.8
$ {K_{{\text{ss}}}},{K_{{\text{tt}}}}/({\text{N}}\cdot{\text{mm}}^{-3}) $ 5×104 10944.1
$ \sigma _{\text{n}}^0/{\text{MPa}} $ 30 273.6
$ \sigma _{\text{s}}^0,\sigma _{\text{t}}^0/{\text{MPa}} $ 70 789.2
$ G_{\rm{n}}^{\rm{C}}/({\text{kJ}}\cdot{{\text{m}}^{{-2}}}) $ 0.6 1103.5
$ G_{\rm{s}}^{\rm{C}},G_{\rm{t}}^{\rm{C}}/({\text{kJ}}\cdot {{\text{m}}^{{-2}}}) $ 1.2 1325.5
表 3  Cohesive界面属性[19,34]
图 13  Z-pin开孔层合板建模算法的流程图
试验组别 $ {\sigma _{\text{c}}} $/MPa $ \sigma _{\text{c}}^{{\text{sim}}} $/MPa $ \delta $/%
A 335.25 340.83 1.67
B 319.65 347.17 8.61
C 317.86 332.17 4.50
D 307.26 317.00 3.17
E 317.76 330.25 3.93
表 4  开孔板的试验与仿真压缩强度
图 14  开孔压缩的渐进失效行为
图 15  分层损伤扩展状态
图 16  Z-pin接触行为的有限元分析结果
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