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基于裂尖塑性区矢径的结构断裂韧度预测方法

黄兴玲

黄兴玲. 基于裂尖塑性区矢径的结构断裂韧度预测方法[J]. 应用数学和力学, 2025, 46(8): 1073-1082. doi: 10.21656/1000-0887.450136
引用本文: 黄兴玲. 基于裂尖塑性区矢径的结构断裂韧度预测方法[J]. 应用数学和力学, 2025, 46(8): 1073-1082. doi: 10.21656/1000-0887.450136
HUANG Xingling. A Fracture Toughness Prediction Method for Structural Components Based on Crack Tip Plastic Zone Radius Vectors[J]. Applied Mathematics and Mechanics, 2025, 46(8): 1073-1082. doi: 10.21656/1000-0887.450136
Citation: HUANG Xingling. A Fracture Toughness Prediction Method for Structural Components Based on Crack Tip Plastic Zone Radius Vectors[J]. Applied Mathematics and Mechanics, 2025, 46(8): 1073-1082. doi: 10.21656/1000-0887.450136

基于裂尖塑性区矢径的结构断裂韧度预测方法

doi: 10.21656/1000-0887.450136
详细信息
    作者简介:

    黄兴玲(1980—),男,教授,博士(E-mail: xinglinghuang@yeah.net).

    通讯作者:

    黄兴玲(1980—),男,教授,博士(E-mail: xinglinghuang@yeah.net).

  • 中图分类号: O346.1

A Fracture Toughness Prediction Method for Structural Components Based on Crack Tip Plastic Zone Radius Vectors

  • 摘要: 由于约束效应,平面应变断裂韧性无法准确地表征工程结构的断裂韧度,二者之间的转换方法值得深入研究.基于裂尖塑性区矢径,建立了材料断裂韧性的修正模型,从理论上将面内约束和面外约束的影响纳入到修正模型中,并提出了结构断裂韧度的预测方法.利用该修正模型,对单边裂纹加筋板的断裂韧度和许用载荷进行了分析.结果表明,面内约束和面外约束都对加筋板的断裂韧度、许用载荷有着重要影响;与平面应变断裂韧性和基于面内T应力的修正模型相比,基于塑性区矢径的修正模型更准确、更合理,并能综合地反映面内和面外的约束效应.
  • 刘葳, 蔡庆港, 金腾龙, 等. 极端循环载荷下加筋板失效机理与极限强度[J]. 哈尔滨工程大学学报, 2023,44(8): 1275-1282.

    (LIU Wei, CAI Qinggang, JIN Tenglong, et al. Failure mechanism and ultimate strength of stiffened plates under extreme cyclic load[J].Journal of Harbin Engineering University,2023,44(8): 1275-1282. (in Chinese))
    [2]刘宸宇, 骆烜赫, 刘康翔, 等. 基于平铺刚度法的弧形加筋板的轻量化设计[J]. 应用数学和力学, 2023,44(8): 953-964. (LIU Chenyu, LUO Xuanhe, LIU Kangxiang, et al. Lightweight design of arc rib stiffened plates based on the smeared stiffener method[J].Applied Mathematics and Mechanics,2023,44(8): 953-964. (in Chinese))
    [3]HUANG X L, LIU Y H, HUANG X B, et al. Crack arrest behavior of central-cracked stiffened plates under uniform tensions[J].International Journal of Mechanical Sciences,2017,133: 704-719.
    [4]黄兴玲. 考虑约束效应的加筋板断裂行为研究[D]. 北京: 清华大学, 2019.(HUANG Xingling. Research on fracture behavior of stiffened plates in consideration of constraint effects[D]. Beijing: Tsinghua University, 2019. (in Chinese))
    [5]HUANG Xingling. Combined effects of in-plane and out-of-plane constraints on fracture behaviors in central-cracked stiffened plates: a model based on plastic zone size[J].Engineering Fracture Mechanics,2021,255: 107958.
    [6]HUANG Xingling, LIU Yinghua, HUANG Xiangbing. New constraint parameters based on crack tip plastic zone: theoretical derivations and effectiveness verification[J].International Journal of Solids and Structures,2020,190: 129-147.
    [7]SHLYANNIKOV V N, BOYCHENKO N V, TUMANOV A V, et al. The elastic and plastic constraint parameters for three-dimensional problems[J].Engineering Fracture Mechanics,2014,127: 83-96.
    [8]MU M Y, WANG G Z, XUAN F Z, et al. Unified correlation of in-plane and out-of-plane constraints with cleavage fracture toughness[J].Theoretical and Applied Fracture Mechanics,2015,80: 121-132.
    [9]LV J, YU L, DU W, et al. Theoretical approach of characterizing the crack-tip constraint effects associated with material’s fracture toughness[J].Archive of Applied Mechanics,2018,88(9): 1637-1656.
    [10]彭凡, 董世明. 一类非均布载荷下中心裂纹圆盘T-应力分析[J]. 应用数学和力学, 2018,39(7): 766-775.(PENG Fan, DONG Shiming.T-stress in a centrally cracked Brazilian disk under nonuniform pressure load[J].Applied Mathematics and Mechanics,2018,39(7): 766-775. (in Chinese))
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    [12]TONGE S M, SIMPSON C A, REINHARD C, et al. Unifying the effects of in and out-of-plane constraint on the fracture of ductile materials[J].Journal of the Mechanics and Physics of Solids,2020,141: 103956.
    [13]ANDERSON T L.Fracture Mechanics: Fundamentals and Applications[M]. 3rd ed. New York: CRC Press, 2005: 25-101.
    [14]HUANG Xingling, LIU Yinghua, HUANG Xiangbing. Analytical characterizations of crack tip plastic zone size for central-cracked unstiffened and stiffened plates under biaxial loading[J].Engineering Fracture Mechanics,2019,206: 1-20.
    [15]HUANG Xingling, LIU Yinghua. Effects ofT-stress on fracture behavior of central-cracked stiffened plate[J].Key Engineering Materials,2019,795: 389-394.
    [16]徐华, 曹政, 邹云鹏, 等. 裂纹面分布加载裂尖SIFs分析的广义参数Williams单元[J]. 应用数学和力学, 2022,43(7): 752-760.(XU Hua, CAO Zheng, ZOU Yunpeng, et al. Williams elements with generalized degrees of freedom for crack tip SIFs analysis under crack surface distributed loading[J].Applied Mathematics and Mechanics,2022,43(7): 752-760. (in Chinese))
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出版历程
  • 收稿日期:  2024-05-13
  • 修回日期:  2024-06-23
  • 网络出版日期:  2025-09-10

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