为研究含裂纹加筋板的极限拉伸强度，本文建立一系列不同长细比、不同裂纹长度、不同裂纹位置的含裂纹加筋板有限元模型，并基于J积分理论对其在单轴拉伸载荷下的极限强度进行了计算。结果发现含裂纹加筋板极限拉伸强度随加筋板长细比的增大略有减小，但减小的程度并不明显；含裂纹加筋板极限拉伸强度随裂纹长度的增大而减小，且减小的幅度逐渐增大；加强筋上的裂纹对含裂纹加筋板极限强度的影响小于底板上的裂纹，而裂纹同时出现在底板和加强筋上时对含裂纹加筋板极限拉伸强度的影响最大。表明含贯穿型裂纹的加筋板在单轴拉伸载荷下的剩余强度对加筋板长细比不敏感，而对裂纹长度较为敏感。
In order to study the ultimate tensile strength of a cracked stiffened plate, a series of finite element models of cracked stiffened plates with different length and length, crack length and different crack positions were established, and the ultimate strength of the stiffened plate under uniaxial tension was calculated based on the J integral theory. It is found that the ultimate tensile strength of the cracked stiffened plate decreases slightly with the increase of the length and fineness ratio of the stiffened plate, but the extent of the decrease is not obvious; the ultimate tensile strength of the cracked stiffened plate decreases with the increase of the crack length, and the amplitude of the decrease gradually increases, and the effect of the crack on the stiffened stiffened plate has little effect on the ultimate strength of the stiffened plate. The effect of crack on the bottom plate and crack on the bottom plate and stiffener is the greatest influence on the ultimate tensile strength of the stiffened panels with cracks. It is shown that the residual strength of stiffened plates with perforated cracks under uniaxial tensile loading is insensitive to the slenderness ratio of stiffened plates, and is more sensitive to crack length.
2021,43(4): 34-39 收稿日期：2020-04-02
DOI：10.3404/j.issn.1672-7649.2021.04.007
分类号：U661.43
作者简介：夏世林(1994-),男,硕士研究生,研究方向为结构力学
参考文献：
[1] CHONG Cui, PING Yang, CHUANG Li, et al. Ultimate strength characteristics of cracked stiffened plates subjected to uniaxial compression[J]. Thin-Walled Structures, 2017, 113: 27-38
[2] SALEM Cherif Sadek, TAMINE tawfik. Buckling of cracked plate reinforced[J]. Procedia Structural Integrity, 2016, 1: 234-241
[3] QING Shuai CAO, Yang ZHAO, LI Xing, er al. Nonlinear buckling of cylindrical steel silos with fabrication cracks[J]. Powder Technology, 2019, 353: 219-229
[4] NGUYEN-Xuan H. et al. (eds.), Proceedings of the International Conference on Advances in Computational Mechanics 2017, Lecture Notes in Mechanical Engineering, https://doi.org/10.1007/978-981-10-7149-2_3
[5] 李群, 欧卓成, 陈宜亨. 高等断裂力学[M]. 北京: 科学出版社, 2017: 27.
[6] CHEREPANOV. G. P. Cracks propagation in continuous media.[J]. Journal of Applied Mathematics and Mechanics, 1967, 31(31): 503-512
[7] RICE. J. R A path independent integral and the approximate analysis of strain concentration by notches and cracks ASME[J]. Journal of Applied Mechanics, 1968, 35(2): 379-386
[8] R. BRIGHENTI, A. CARPINTRRI Buckling and fracture behaviour of cracked thin plates under shear loading[J]. Mater. Des, 2011, 32: 1347-1355
[9] MARGARITIS Y., TOULIOS M. The ultimate and collapse response of cracked stiffened plates subjected to uniaxial compression[J]. Thin-Walled Struct, 2012, 50: 157-173
[10] PAIK J.K. FANG Wang, B.J. Kim, CUI Weicheng, et al Ultimate shear strength of intact and cracked stiffened panels[J]. Thin-Walled Struct, 2015, 88: 48-57
[11] S. SAAD-ELDEEN, Y. GARBATOV, C. GUEDES SOARES Experimental compressive strength analyses of high tensile steel thin-walled stiffened panels with a large lightening opening[J]. Thin-Walled Structures, 2017, 113: 61-68
[12] 孙丹丹, 陈红火.全新Marc实例教程与常见问题解析[M].第二版.北京:中国水利水电出版社, 2016:334.
[13] 刘伯运, 周晓松, 张岳林. 考虑焊接残余应力的船体板结构屈曲强度[J]. 船海工程, 2017, 46(6): 6-11
LIU Bo-yun, ZHOU Xiao-song, ZHANG Yue-lin. Buckling strength of hull plate structure considering welding residual stress[J]. Marine Engineering, 2017, 46(6): 6-11
[14] M. R. KHEDMATI, M. M. ROSHANALI, Z. H. M. E. NOURIi. Strength of steel plates with both-sides randomly distributed with corrosion wastage under uniaxial compression. Thin-Walled Structures 49(2011)325−342.
[15] 袁焕鑫.焊接不锈钢轴心受压构件局部稳定和相关稳定性能研究[D].北京: 清华大学, 2014: 95.
YUAN Huan-xin. Local stability and related stability of welded stainless steel axially compressed members[D]. Beijing: Tsinghua University, 2014: 95.
