应力比对铝钢复合材料界面Ⅰ型裂纹应力强度因子的影响

兰州理工大学学报 ›› 2021, Vol. 47 ›› Issue (4): 40-44.

应力比对铝钢复合材料界面Ⅰ型裂纹应力强度因子的影响

李有堂^*, 杨龙

兰州理工大学机电工程学院, 甘肃兰州 730050

收稿日期:2020-03-12 出版日期:2021-08-01 发布日期:2021-09-07
通讯作者: 李有堂(1963-),男,甘肃定西人,博士,教授,博导.Email:liyt@lut.edu.cn
基金资助:
国家自然科学基金(71861025)

Effect of stress ratio on stress intensity factor of mode-Ⅰ crack at interface of composite plate

LI You-tang, YANG Long

School of Mechnical and Electrical Engineering, Lanzhou Univ. of Tech., Lanzhou 730050, China

Received:2020-03-12 Online:2021-08-01 Published:2021-09-07

摘要/Abstract

摘要： 以铝钢复合材料的Ⅰ型界面裂纹为研究对象,运用节点位移外推法求解复合材料Ⅰ型界面裂纹的应力强度因子,得到的应力强度因子通过节点位移表示.对应力强度因子进行有限元数值模拟,研究应力比和应力强度因子之间的关系.研究结果表明:在同一应力比条件下,应力强度因子随裂纹尺寸比的增大而增大;在同一裂纹尺寸比条件下,应力强度因子随应力比的增大而增大.

关键词: 铝钢复合材料, 应力比, 应力强度因子, Ⅰ型裂纹, 节点位移外推法

Abstract: Taking mode-Ⅰ interface crack of aluminum-steel composite material as the research object, the node displacement extrapolation method is used to solve the stress intensity factor ofmode-Ⅰ interface crack of the composite material. The obtained stress intensity factor was expressed by the node displacement. The finite element numerical simulation was carried out to study the relationship of stress ratio and stress intensity factor. The results show that under the same stress ratio condition, the stress intensity factor increases with the increase of crack size ratio. Under the same crack size ratio, the stress intensity factor increases with the increase of stress ratio.

Key words: aluminum-steel composite material, stress ratio, stress intensity factor, mode-Ⅰ crack, nodel displacement extrapolation

中图分类号:

TH122

李有堂, 杨龙. 应力比对铝钢复合材料界面Ⅰ型裂纹应力强度因子的影响[J]. 兰州理工大学学报, 2021, 47(4): 40-44.

LI You-tang, YANG Long. Effect of stress ratio on stress intensity factor of mode-Ⅰ crack at interface of composite plate[J]. Journal of Lanzhou University of Technology, 2021, 47(4): 40-44.

参考文献

[1] 马振洲,王小乐,刘恩欣,等.双材料界面裂纹动态应力强度因子有限元分析 [J].水利与建筑工程学报,2019,17(2):101-104.
[2] 张硕.垂直于界面裂纹应力强度因子及断裂过程区研究 [D].石家庄:石家庄铁道大学,2018.
[3] 杨军辉,雷勇军.垂直界面裂纹应力强度因子的加料有限元分析 [J].工程力学,2016,33(2):59-65.
[4] LI Y T,MA P,YAN C F.Investigation of fracture design for Bi-steel materials [J].Key Engineering Materials,2006,324/325:503-506.
[5] LI Y T,YAN C F.Fracture design of metallic matrix crack for Bi-materials [J].Key Engineering Materials,2006,306/307/308:7-12.
[6] 李有堂,李浩勇,宋鸣.铝/钢爆炸焊复合板界面裂纹的扩展路径 [J].兰州理工大学学报,2016,42(5):163-166.
[7] 张幸红,李亚辉,韩杰才,等.TiC-Ni系功能梯度材料的断裂力学有限元分析 [J].复合材料学报,2001,18(4):87-92.
[8] 苏毅,王生楠,鲁龙坤.用广义扩展有限元计算界面裂纹应力强度因子 [J].北京航空航天大学学报,2016,42(6):1162-1168.
[9] KIM J H,PAULINO G H.An accurate scheme for mixed-mode fracture analysis of functionally graded materials using the interaction integral and micromechanics models [J].International Journal for Numerical Methods in Engineering,2003,58(10):1457-1497.
[10] KIM J H ,PAULINO G H.The interaction integral for fracture of orthotropic functionally graded materials:evaluation of stress intensity factors [J].International Journal of Solids and Structures,2003,40(15):3967-4001.
[11] AYHAN A O.Three-dimensional mixed-mode stress intensity factors for cracks in functionally graded materials using enriched finite elements [J].International Journal of Solids and Structures,2009,46(3/4):796-810.
[12] LI Y T,WANG Y D,YANG L.Effect of stress ratio on stress intensity factor of type I crack in A7N01 aluminum alloy [J].Key Engineering Materials,2018,774:259-264.