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修正内聚区长度计算公式在冰I型裂纹扩展中的应用

倪宝玉 徐莹 黄其 尤嘉 薛彦卓

倪宝玉, 徐莹, 黄其, 等. 修正内聚区长度计算公式在冰I型裂纹扩展中的应用[J]. 中国舰船研究, 2022, 17(3): 58–66 doi: 10.19693/j.issn.1673-3185.02701
引用本文: 倪宝玉, 徐莹, 黄其, 等. 修正内聚区长度计算公式在冰I型裂纹扩展中的应用[J]. 中国舰船研究, 2022, 17(3): 58–66 doi: 10.19693/j.issn.1673-3185.02701
NI B Y, XU Y, HUANG Q, et al. Application of improved cohesive zone length formula in ice mode I crack propagation[J]. Chinese Journal of Ship Research, 2022, 17(3): 58–66 doi: 10.19693/j.issn.1673-3185.02701
Citation: NI B Y, XU Y, HUANG Q, et al. Application of improved cohesive zone length formula in ice mode I crack propagation[J]. Chinese Journal of Ship Research, 2022, 17(3): 58–66 doi: 10.19693/j.issn.1673-3185.02701

修正内聚区长度计算公式在冰I型裂纹扩展中的应用

doi: 10.19693/j.issn.1673-3185.02701
基金项目: 国家自然科学基金资助项目(52192693,52192690,51979051,51979056)
详细信息
    作者简介:

    倪宝玉,男,1986年生,博士,教授。研究方向:冰水船耦合运动学。E-mail:nibaoyu@hrbeu.edu.cn

    徐莹,女,1991年生,博士,工程师

    黄其,男,1994年生,硕士,助理工程师。研究方向:冰载荷。E-mail:qhuang@ccs.org.cn

    尤嘉,男,1997年生,硕士生。研究方向:冰与结构物相互作用。E-mail:you20150122@hrbeu.edu.cn

    薛彦卓,男,1978年生,博士,教授。研究方向:极地船舶设计及制造。E-mail:xueyanzhuo@hrbeu.edu.cn

    通信作者:

    倪宝玉

  • 中图分类号: U661.1

Application of improved cohesive zone length formula in ice mode I crack propagation

知识共享许可协议
修正内聚区长度计算公式在冰I型裂纹扩展中的应用倪宝玉,等创作,采用知识共享署名4.0国际许可协议进行许可。
  • 摘要:   目的  内聚区长度是处于破坏边缘的内聚力单元长度与其连接的其他内聚力单元长度之和,决定了网格的最大尺寸。精确估算内聚区长度并合理划分网格是影响计算精度的重要因素。  方法  为此,基于J积分的部分假设和已有的研究成果,在原有的内聚区长度计算公式中增加关于长厚比的修正函数,然后将修正后的内聚区长度计算公式应用于冰力学模型,再基于有限元法建立双悬臂梁数值模型进行模拟,并与试验结果进行对比,以验证修正后内聚区长度计算公式的精确性。   结果  研究表明,在一个内聚区长度内至少存在4个内聚力单元才能较精确地描述断裂过程。相关结果应用于三点弯曲试验模型模拟的结果显示,断裂点的极限载荷误差为2.9%且在合理范围内。   结论  修正后的内聚区长度公式更适用于冰材料。
  • 图  1  牵引力−分离曲线

    Figure  1.  Traction-separation curve

    图  2  不同材料内聚力模型方向定义

    Figure  2.  Defined dircections of cohesion model of different materials

    图  3  双悬臂梁撕裂示意图

    Figure  3.  Schematics of tearing of double cantilever beam

    图  4  内聚力单元拉伸变形

    Figure  4.  Tensile deformation of cohesive element

    图  5  Lcz -h曲线

    Figure  5.  Lcz-h curve

    图  6  Lcz-Ln(L/h)曲线

    Figure  6.  Lcz-Ln((L/h) curve

    图  7  高厚度的双悬臂梁模型

    Figure  7.  Model of high-thickness double cantilever beam

    图  8  模拟结果和修正内聚区长度对比

    Figure  8.  Comparison of simulation results and modified cohesive zone length

    图  9  狭长双悬臂梁模型主尺度示意图

    Figure  9.  Schematics of main dimensions of narrow double cantilever beam model

    图  10  不同网格密度下内聚力单元牵引力−时间曲线

    Figure  10.  Traction-time curves of cohesive element with different grid densities

    图  11  冰试样模型主尺度示意图

    Figure  11.  Schematics of main dimensions of ice specimen

    图  12  冰试样截面间内聚力单元

    Figure  12.  Cohesive element between ice sample sections

    图  13  有限元模拟三点弯曲过程

    Figure  13.  Finite element simulations of three-point bending process

    图  14  试验冰试样断裂[28]

    Figure  14.  Fracture of experimental ice specimen[28]

    图  15  压力−挠度曲线

    Figure  15.  Pressure-deflection curves

    表  1  试验参数

    Table  1.   Experimental parameters

    参数数值
    密度/( kg·m−3894
    杨氏模量/ GPa6.83
    弯曲强度/ MPa3.2
    泊松比0.25
    温度/℃−10
    应变速率/ s−14.604×10−3
    极限载荷/ N1 127.9
    极限挠度/ mm0.39
    加载历时/ s1.21
    下载: 导出CSV
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  • 收稿日期:  2021-12-14
  • 修回日期:  2022-04-07
  • 网络出版日期:  2022-05-24
  • 刊出日期:  2022-06-30

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