以能量表征的平面应变及平面应力Ⅰ型裂纹J积分解

doi:10.7527/S1000-6893.2022.27671

Abstract

Abstract:

J-integral is used to characterize the degree of stress and strain field at the tip of mode-I crack， and to determine the initial elastic-plastic fracture toughness and extended fracture toughness （J-resistance curves） of the material under crack initiation and quasi-static propagation. Based on energy density equivalence， a semi-analytical energy model is proposed to describe the relationship between J-integral， energy， the dimensions and material parameters for a mode-I cracked specimen under plane strain and plane stress. The J-integral-energy relationships of the six specimens for different materials and dimensions predicted by the presented model are in close agreement with the results given by finite element analysis.

Key words: J-integral, mode-I crack, elastoplasticity, plane strain, plane stress

CLC Number:

V215.6

Ziye FENG, Lixun CAI, Simiao YU. Energy⁃based J⁃integral solutions for mode⁃I cracked specimens under plane strain and plane stress[J]. ACTA AERONAUTICAET ASTRONAUTICA SINICA, 2023, 44(12): 227671-227671.

Figures/Tables 12

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References 38

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试样	构形示意图	FEA模型	单元数	节点数	模型尺寸
试样	构形示意图	FEA模型	单元数	节点数	W/mm	a/W
CT			5 664	5 861	50	0.45~0.75
SEB			4 724	4 855	20	0.4~0.8
RCT			5 888	6 116	50	0.45~0.75
CCT			5 538	5 682	20	0.45~0.75
DET			5 538	5 682	20	0.45~0.75
CIET			2 609	2 718	9	0.45~0.75
Mini-SEB			2 692	2 771	4	0.4~0.7

试样	m	k₀	k₁	k₂	k₃	k₄
CT	2.261 9	0.120	2.020 0	0.005 5	0.338 0	0.995 6
SEB	1.994 5	0.074	1.232 2	0.041 5	0.353 7	0.975 4
RCT	2.207 2	0.110	1.770 0	0.006 5	0.350 3	0.995 2
CCT	0.900 2	0.480	1.300 8	-0.012 7	0.909 3	1.010 1
DET	0.543 6	0.300	2.276 6	0.000 7	0.535 6	1.000 0
CIET	2.139 7	0.036	1.1898	-0.0025	0.258 9	1.002 6

试样	m	k₀	k₁	k₂	k₃	k₄
CT	2.261 9	0.092	1.058 2	0.010 4	0.448 5	0.991 4
SEB	1.980 3	0.058	0.649 0	-0.002 5	0.471 4	1.010 3
RCT	2.207 2	0.077	0.929 5	0.006 2	0.459 6	0.994 7
CCT	0.890 2	0.380	1.300 7	-0.000 5	0.791 9	1.000 4
CIET	2.139 7	0.032	0.728 7	0	0.303 3	1.000 0
Mini-SEB	2.020 0	0.060	0.714 0	0.031 7	0.449 2	0.980 5

[1]	Sun Jun;Li Zhong-hua;Deng Zeng-jie;Tu Ming-jing. CRACK-TIP CONSTRAINT AND J-CONTROLLING STABLE GROWTH OF CRACK IN PLANE STRESS CASE [J]. ACTA AERONAUTICAET ASTRONAUTICA SINICA, 1992, 13(5): 313-316.
[2]	Ma Jian-min;Xiao Can-Zhang;Li Nong-sheng. PREDICTING THE RESPONSE OF SHELL STRUCTURE IN THE HIGH-FREQUENCY NOISE FIELD [J]. ACTA AERONAUTICAET ASTRONAUTICA SINICA, 1992, 13(5): 317-321.
[3]	Chen Zhiwei. STUDIES ON CYCLIC FATIGUE CHARACTERISTICS OF MATERIALS [J]. ACTA AERONAUTICAET ASTRONAUTICA SINICA, 1988, 9(9): 445-450.

Energy⁃based J⁃integral solutions for mode⁃I cracked specimens under plane strain and plane stress

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