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基于黏聚区模型的ENF试件层间裂纹扩展分析

邓健 肖鹏程 王增贤 邵光冉 卢天健

邓健,肖鹏程,王增贤,邵光冉,卢天健. 基于黏聚区模型的ENF试件层间裂纹扩展分析 [J]. 应用数学和力学,2022,43(5):1-9 doi: 10.21656/1000-0887.430082
引用本文: 邓健,肖鹏程,王增贤,邵光冉,卢天健. 基于黏聚区模型的ENF试件层间裂纹扩展分析 [J]. 应用数学和力学,2022,43(5):1-9 doi: 10.21656/1000-0887.430082
Jian DENG, Pengcheng XIAO, Zengxian WANG, Guangran SHAO, Tianjian LU. Interlaminar Crack Propagation Analysis of ENF Specimen Based on Cohesive Zone Model[J]. Applied Mathematics and Mechanics. doi: 10.21656/1000-0887.430082
Citation: Jian DENG, Pengcheng XIAO, Zengxian WANG, Guangran SHAO, Tianjian LU. Interlaminar Crack Propagation Analysis of ENF Specimen Based on Cohesive Zone Model[J]. Applied Mathematics and Mechanics. doi: 10.21656/1000-0887.430082

基于黏聚区模型的ENF试件层间裂纹扩展分析

doi: 10.21656/1000-0887.430082
基金项目: 国家自然科学基金(12002157; 12032010; 11972185);江苏高校优势学科建设工程;中央高校基本科研业务费
详细信息
    作者简介:

    邓健(1990—),男,讲师,博士,硕士生导师(E-mail:dengjian@nuaa.edu.cn

    卢天健(1964—),男,教授,博士,博士生导师(通讯作者. E-mail:tjlu@nuaa.edu.cn

  • 中图分类号: O33

Interlaminar Crack Propagation Analysis of ENF Specimen Based on Cohesive Zone Model

  • 摘要: 基于经典层合板理论及黏聚区模型,针对纯Ⅱ型断裂ENF试件的裂纹扩展,建立了含一般分层裂纹层合板的理论模型。相较于传统的梁理论,该文模型充分考虑了黏聚区的软化过程,引入了试件发生失效前的非线性行为,预测的失效载荷小于梁理论结果,与文献试验值更为接近。相比于梁理论(仅包含断裂韧性单一参数),该文模型可同时分析界面强度、断裂韧性及界面初始刚度对ENF试件载荷-位移曲线的影响。结果表明:界面强度主要影响试件失效前的力学行为,对裂纹扩展基本无影响,断裂韧性是影响裂纹扩展的主要参数,界面初始刚度仅影响线弹性加载段;黏聚区长度随断裂韧性增大而增大,随界面强度增大而减小;相较于断裂韧性,界面强度对黏聚区长度的影响更为明显;黏聚区尖端到达试件半长处时,黏聚区的长度呈现一定程度的减小。
  • 图  1  层合板黏聚区微元受力分析

    Figure  1.  Microelement stress analysis of cohesive zone of laminates

    图  2  黏聚区双线性本构模型

    Figure  2.  Bilinear constitutive model of cohesive zone

    图  3  ENF试件几何尺寸及加载情况

    Figure  3.  ENF specimen geometry size and loading condition

    图  4  ENF试件加载软化阶段

    Figure  4.  Loading softening stage of ENF specimen

    图  5  本文模型与实验结果[16]及梁理论预测的对比

    Figure  5.  Comparison of the proposed model with experimental results[16] and beam theory prediction

    图  6  界面强度对ENF试件载荷-位移曲线的影响

    Figure  6.  Influence of interfacial strength on load-displacement curves of ENF specimen

    图  7  断裂韧性对ENF试件载荷-位移曲线的影响

    Figure  7.  Influence of fracture toughness on load-displacement curves of ENF specimen

    图  8  Ⅱ型界面初始刚度的影响:(a)载荷-位移曲线;(b)Ⅱ型裂纹T-S本构关系

    Figure  8.  Influence of initial stiffness of mode Ⅱ interface: (a) load-displacement curve; (b) T-S constitutive relationship of mode Ⅱ crack

    图  9  Ⅱ型裂纹黏聚区长度随裂纹扩展的变化趋势

    Figure  9.  Variation tendency of the length of cohesive zone of mode Ⅱ crack with crack growth

    图  10  界面参数对Ⅱ型裂纹黏聚区长度的影响

    Figure  10.  Influence of interface parameters on the length of cohesive zone of mode Ⅱ crack

    表  1  ENF试件材料力学性能参数[16]

    Table  1.   Mechanical properties of ENF specimen[16]

    mechanical properties of HTA6376/C composite single layer plate
    $ {E_{11}} $=120 GPa${E_{22}} = {E_{33}}$=10.5 GPa$ {G_{12}} = {G_{13}} $=5.25 GPa$ {G_{23}} $= 3.48 GPa${\nu _{12}} = {\nu _{13}}$=0.3${\nu _{23}}$=0.51
    fracture properties of interfacial cohesive zone
    $ {G_{{\text{Ic}}}} $=0.26 N/mmGⅡc=1.002 N/mm$ {\sigma _{\text{c}}} $=30 MPa$ {\tau _{\text{c}}} $=60 MPa$ K_{\rm{nn}}^{{\text{initial}}} $=1 × 103 GPa/mm$ K_{\rm{ss}}^{{\text{initial}}} $=1 × 103 GPa/mm
    下载: 导出CSV

    表  2  ENF试件几何尺寸[16]

    Table  2.   Geometric dimensions of ENF specimen[16]

    effective length of specimen $2L$/ mmspecimen width $b$/ mmspecimen thickness $2h$/ mminitial crack length ${a_0}$/ mm
    100203.135
    下载: 导出CSV
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出版历程
  • 收稿日期:  2022-03-14
  • 录用日期:  2022-03-24
  • 修回日期:  2022-03-24
  • 网络出版日期:  2022-04-13

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