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

HUANG Xingling

doi:10.21656/1000-0887.450136

Volume 46 Issue 8

Aug. 2025

Turn off MathJax

Article Contents

Article Navigation > Applied Mathematics and Mechanics > 2025 > 46(8): 1073-1082

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:

PDF( 2269 KB)

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

doi: 10.21656/1000-0887.450136

HUANG Xingling^,

Department of Civil Engineering, Dianchi College, Kunming 650228, P.R.China

Received Date: 2024-05-13
Rev Recd Date: 2024-06-23

Available Online: 2025-09-10

Abstract

Abstract

It is significant to study the transformation of fracture toughness data from plane strain conditions to engineering structures, since the plane strain fracture toughness cannot accurately characterize the fracture toughness of structural components due to constraint effects. Based on the plastic zone radius vectors of crack tips, a correction model for fracture toughness was proposed with the combined effects of in-plane and out-of-plane constraints incorporated theoretically, and a fracture toughness prediction method was developed for engineering structures. With the correction model, the fracture toughness and allowable loads were analyzed for the single edge-cracked stiffened plate. The results show that, both in-plane and out-of-plane constraints have important influences on fracture toughnesses and allowable loads of stiffened plates. Compared with the plane strain fracture toughness and the correction method based on the in-plane T-stress, the correction model based on plastic zone radius vectors is more accurate and reasonable, and can reflect the effects of in-plane and out-of-plane constraints comprehensively.
- fracture toughness,
- crack tip plastic zone,
- constraint effect,
- stiffened plate,
- T-stress

FullText(HTML)

References(16)

References

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))

[11]SEAL C K, SHERRY A H. Predicting the effect of constraint on cleavage and ductile fracture toughness using area contour toughness scaling[J].Engineering Fracture Mechanics,2017,186: 347-367.

[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))

Relative Articles

Supplements(0)

Cited By

Proportional views