基于裂尖塑性区矢径的结构断裂韧度预测方法

黄兴玲

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

黄兴玲

滇池学院土木工程系，昆明 650228

详细信息

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

中图分类号: O346.1
计量
- 文章访问数: 46
- HTML全文浏览量: 11
- PDF下载量: 9
- 被引次数: 0
出版历程
- 收稿日期: 2024-05-13
- 修回日期: 2024-06-23
- 刊出日期: 2025-08-01

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

HUANG Xingling

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

摘要

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.
- 断裂韧性 /
- 裂尖塑性区 /
- 约束效应 /
- 加筋板 /
- T应力
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

HTML全文

图 1 基于塑性区矢径r_p0的断裂韧度修正模型

Figure 1. The fracture toughness correction model based on plastic zone sizes r_p0

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图 2 单边裂纹加筋板结构示意图

Figure 2. The configuration of a single edge-cracked stiffened plate

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图 3 碳钢34XH3MA在各种相对厚度(B/W)下的断裂韧性

Figure 3. Fracture toughnesses of carbon steel 34XH3MA under various relative thicknesses (B/W)

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图 4 修正的碳钢34XH3MA断裂韧性与试验数据对比

Figure 4. Comparisons of corrected fracture toughnesses and testing data on carbon steel 34XH3MA

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图 5 加筋板的裂尖应力场及塑性区特征

Figure 5. Characteristics of crack tip stress fields and plastic zones in the stiffened plate

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图 6 加筋板的断裂韧度和许用载荷

Figure 6. Fracture toughnesses and allowable loads in the stiffened plate

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表 1 碳钢34XH3MA断裂韧性的试验数据及相应的断裂参数^[6-7]

Table 1. Measured fracture toughnesses and corresponding fracture parameters of carbon steel 34XH3MA^[6-7]

specimen	W/mm	B/W	a/W	K_max/(MPa·m^1/2)	T₁₁/MPa	T₃₃/MPa	r_p0^1/2/mm^1/2	r_p0/a
SEN(B)-S-01	20	1.000	0.300	55.72	-31.70	-90.38	0.440 05	0.032
SEN(B)-S-02	20	1.000	0.605	55.28	94.05	-21.21	0.417 42	0.014
SEN(B)-S-03	20	1.000	0.620	59.42	105.90	-18.68	0.446 74	0.016
SEN(B)-S-04	20	0.500	0.245	72.35	-73.61	-221.50	0.723 29	0.107
SEN(B)-S-05	20	0.500	0.250	60.84	-58.97	-185.44	0.560 03	0.063
SEN(B)-S-06	20	0.500	0.445	61.44	45.28	-155.45	0.559 19	0.035
SEN(B)-S-07	20	0.500	0.445	69.70	51.40	-176.38	0.662 87	0.049
SEN(B)-S-08	20	0.500	0.610	58.91	108.88	-116.87	0.517 36	0.022
SEN(B)-S-09	20	0.500	0.615	61.25	115.75	-120.05	0.542 05	0.024
C(T)-S-01	40	0.500	0.350	67.36	125.35	-123.23	0.612 02	0.027
C(T)-S-02	40	0.500	0.350	70.17	130.67	-128.41	0.641 17	0.029
C(T)-S-03	40	0.500	0.625	66.28	151.25	-93.81	0.591 30	0.014
C(T)-S-04	40	0.500	0.645	72.13	163.25	-98.13	0.639 30	0.016
C(T)-S-05	40	0.250	0.380	82.12	169.98	-248.60	0.977 62	0.063
C(T)-S-06	40	0.250	0.425	83.55	187.50	-249.03	1.006 96	0.060
C(T)-S-07	40	0.250	0.490	80.67	192.03	-236.13	0.941 30	0.045
C(T)-S-08	40	0.250	0.475	82.00	194.25	-240.77	0.975 05	0.050

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