Investigation on Mixed-Mode Fatigue Crack Growth Driven by Configurational Force

doi:10.7652/xjtuxb201809006

您当前的位置：

首页 >

文章列表页 >

Investigation on Mixed-Mode Fatigue Crack Growth Driven by Configurational Force

更新时间：2025-05-01

- Investigation on Mixed-Mode Fatigue Crack Growth Driven by Configurational Force
- Vol. 52, Issue 9, Pages: 45-53(2018)
- 作者机构：
  
  1. 西安交通大学机械结构强度与振动国家重点实验室,西安,710049
  2. 西安交通大学航天航空学院,西安,710049
- 作者简介：
- 基金信息：
- DOI：10.7652/xjtuxb201809006
  CLC： TH111
- Online First：10 September 2018，
  
  Published：2018
- 稿件说明：
移动端阅览
Investigation on Mixed-Mode Fatigue Crack Growth Driven by Configurational Force[J]. 2018, 52(9): 45-53.
DOI：

Investigation on Mixed-Mode Fatigue Crack Growth Driven by Configurational Force[J]. 2018, 52(9): 45-53. DOI： 10.7652/xjtuxb201809006.

摘要

基于材料构型力断裂准则

提出了一种描述复合型疲劳裂纹扩展规律的新模型

该模型不仅能够预测复合型裂纹的扩展路径

而且可以计算裂纹扩展寿命。以该模型为基础

对疲劳问题中的复合型裂纹扩展失效问题进行了研究。首先

根据材料构型力理论

建立了复合型疲劳裂纹扩展模型

开发了构型力的有限元计算程序

实现了疲劳裂纹扩展的数值计算; 其次

采用构型力驱动准则

对Ⅰ型和I-II复合型疲劳裂纹进行了数值分析

计算了裂纹扩展路径以及扩展寿命

数值分析结果与试验结果基本一致

从而验证了该方法的有效性。最后

针对工程实际中可能出现的复杂疲劳裂纹扩展问题

具体研究了边界裂纹与圆孔缺陷干涉作用下的金属板疲劳问题

结果表明:斜裂纹角度以及孔洞与裂纹的相对位置均会影响扩展路径以及疲劳寿命; 对于不含圆孔的斜裂纹问题

裂纹角度越大

寿命就越长

而对于含圆孔的边界裂纹问题

由于孔洞的存在导致了裂纹朝孔洞方向偏转和裂纹扩展速率减小

并可能发生止裂现象。

Abstract

An innovative fatigue model is proposed by following the fracture criterion associated with the material configurational force

which is applicable for estimating the more general mixed-mode crack problems under cyclic loading

corresponding the mixed-mode crack deflection angle. Moreover

the proposed model can predict the fatigue residual lifetime. The mixed-mode fatigue crack propagation model is constructed following the theory of material configuration mechanics

and a finite element program of the theoretical fatigue model for fatigue crack propagation simulation is developed. The configurational force criterion is adopted to numerically analyze both the pure mode I and I-II mixed-mode crack propagation

and the lifetime and propagation paths are predicted. The numerical results coincide well with the experimental ones. To research the general mixed-mode fatigue crack propagation in actual engineering structures

the fatigue behavior of metal plate with an edge crack or a circular hole is considered as an example. It is found that the inclined crack angle and the relative position of circular holes with respect to the major crack have significant influences on the crack deflection and residual fatigue lifetime. For the plane metal plate with inclined edge crack

larger inclination angle leads to a longer residual lifetime. Besides

due to the interaction between the hole and crack

the crack propagates towards the hole. Particularly

there exist a certain distance between the hole and crack

at which the propagation rate reduces and the crack may be inhibited.

关键词

Keywords

references

陈传尧. 疲劳与断裂 [M]. 武汉: 华中科技大学出版社, 2002: 147-158.

PARIS P C, ERDOGAN F. A critical analysis of crack propagation laws [J]. Journal of Basic Engineering, 1963, 85(4): 528-533.

HURLEY P J, EVANS W J. A new method for predicting fatigue crack propagation rates [J]. Materials Science and Engineering, 2007, 466(1/2): 265-273.

KIM J K, KIM C S. Fatigue crack growth behavior of rail steel under mode I and mixed mode loadings [J]. Materials Science and Engineering, 2002, 338(1): 191-201.

CHEN Xiaoming, JIAO Guiqiong, CUI Zhenyuan. Application of combined-mode fracture criteria to surface crack problems [J]. Engineering Fracture Mechanics, 1986, 24(1): 127-144.

李航月, 孙海林, 陶忠明, 等. 1420铝锂合金的疲劳裂纹扩展和自抑制 [J]. 西安交通大学学报, 1997, 31(3): 103-107.

LI Hangyue, SUN Hailin, TAO Zhongming, et al. Fatigue crack propagation and restraint in a 1420 aluminum-lithium alloy [J]. Journal of Xi'an Jiaotong University, 1997, 31(3): 103-107.

YU J, ZIEHL P, ZARATE B, et al. Prediction of fatigue crack growth in steel bridge components using acoustic emission [J]. Journal of Constructional Steel Research, 2011, 67(8): 1254-1260.

TANAKA K. Fatigue crack propagation from a crack inclined to the cyclic tensile axis [J]. Engineering Fracture Mechanics, 1974, 6(3): 493-507.

DINDA S, KUJAWSKI D. Correlation and prediction of fatigue crack growth for different R-ratios using Kmax and ΔK+ parameters [J]. Engineering Fracture Mechanics, 2004, 71(12): 1779-1790.

HUSSAIN M A, PU S L, UNDERWOOD J H. Strain energy release rate for a crack under combined mode I and mode II [C]∥Fracture Analysis: Proceedings of the 1973 National Symposium on Fracture Mechanics: Part II. West Conshohocken, PA: ASTM International, 1974: 2-28.

ERDOGAN F, SIH G C. On the crack extension in plates under plane loading and transverse shear [J]. Journal of Basic Engineering, 1963, 85(4): 519-525.

SIH G C. Strain-energy-density factor applied to mixed mode crack problems [J]. International Journal of Fracture, 1974, 10(3): 305-321.

黄学伟, 蔡力勋, 包陈, 等. 基于低周疲劳损伤的裂纹扩展行为数值模拟新方法 [J]. 工程力学, 2011, 28(10): 202-208.

HUANG Xuewei, CAI Lixun, BAO Chen, et al. A new method of numerical simulation for behavior of fatigue crack propagation based on low cycle fatigue damage [J]. Engineering Mechanics, 2011, 28(10): 202-208.

陈龙, 蔡力勋, 姚迪. 引入应变循环损伤的材料裂纹扩展行为预测模型 [J]. 西安交通大学学报, 2012, 46(9): 114-118.

CHEN Long, CAI Lixun, YAO Di. Prediction model of fatigue crack growth behavior by introducing strain cycle damage [J]. Journal of Xi'an Jiaotong University, 2012, 46(9): 114-118.

JIANG Y. Fatigue criterion for general multiaxial loading [J]. Fatigue and Fracture of Engineering Materials and Structures, 2000, 23(1): 19-32.

FAN F, KALNAUS S, JIANG Y. Modeling of fatigue crack growth of stainless steel 304L [J]. Mechanics of Materials, 2008, 40(11): 961-973.

ALIHA M R M, AYATOLLAHI M R. Analysis of fracture initiation angle in some cracked ceramics using the generalized maximum tangential stress criterion [J]. International Journal of Solids and Structures, 2012, 49(13): 1877-1883.

GOMEZ F J, ELICES M. Fracture loads for ceramic samples with rounded notches [J]. Engineering Fracture Mechanics, 2006, 73(7): 880-894.

HILLERBORG A. The theoretical basis of a method to determine the fracture energy GF of concrete [J]. Materials and Structures, 1985, 18(4): 291-296.

ESHELBY J D. The elastic energy-momentum tensor [J]. Journal of Elasticity, 1975, 5(3/4): 321-335.

GUO Yuli, LI Qun. Material configurational forces applied to mixed mode crack propagation [J]. Theoretical and Applied Fracture Mechanics, 2017, 89: 147-157.

古斌, 郭宇立, 李群. 基于构型力断裂准则的裂纹与夹杂干涉问题研究 [J]. 力学学报, 2017, 49(6): 1312-1321.

GU Bin, GUO Yuli, LI Qun. Crack interacting with an individual inclusion by the fracture criterion of configurational force [J]. Chinese Journal of Theoretical and Applied Mechanics, 2017, 49(6): 1312-1321.

WANG Fangwen, CHEN Yiheng. Fatigue damage driving force based on the M-integral concept [J]. Procedia Engineering, 2010, 2(1): 231-239.

SIVALOGANATHAN J, SPECTOR S J. On cavitation, configurational forces and implications for fracture in a nonlinearly elastic material [J]. Journal of Elasticity, 2002, 67(1): 25-49.

KRONER E. Configurational and material forces in the theory of defects in ordered structures [J]. Materials Science Forum, 1993, 123: 447-454.

于宁宇, 李群. 基于数字散斑相关实验测量的材料构型力的计算方法 [J]. 实验力学, 2014, 29(5): 579-588.

YU Ningyu, LI Qun. On the algorithm of material configurational force based on digital image correlation measurement [J]. Journal of Experimental Mechanics, 2014, 29(5): 579-588.

YU N Y, LI Q, CHEN Y H. Experimental evaluation of the M-integral in an elastic-plastic material containing multiple defects [J]. Journal of Applied Mechanics, 2013, 80(1): 1-8.

闫相桥, 杜善义, 张泽华. 关于复合型疲劳裂纹扩展的数值模拟技术 [J]. 哈尔滨工业大学学报, 1993, 25(6): 113-118.

YAN Xiangqiao, DU Shanyi, ZHANG Zehua. Numerical simulation techniques of mixed mode fatigue crack growth [J]. Journal of Harbin Institute of Technology, 1993, 25(6): 113-118.

XU Y, YUAN H. Computational analysis of mixed-mode fatigue crack growth in quasi-brittle materials using extended finite element methods [J]. Engineering Fracture Mechanics, 2009, 76(2): 165-181.

HETTICH T, HUND A, RAMM E. Modeling of failure in composites by X-FEM and level sets within a multiscale framework [J]. Computer Methods in Applied Mechanics and Engineering, 2008, 197(5): 414-424.

LYKINS C D, MALL S, JAIN V K. Combined experimental-numerical investigation of fretting fatigue crack initiation [J]. International Journal of Fatigue, 2001, 23(8): 703-711.

RAMSAMOOJ D V. Analytical prediction of fatigue crack propagation in metals [J]. Journal of Engineering Mechanics, 2003, 129(6): 672-682.

BANKS-SILLS L, ARCAN M. An edge-cracked mode II fracture specimen [J]. Experimental Mechanics, 1983, 23(3): 257-261.

ROCCA M L, ADDUCE C, SCIORTINO G, et al. Experimental and numerical simulation of three-dimensional gravity currents on smooth and rough bottom [J]. Physics of Fluids, 2008, 20(10): 299.

GARDIN C, COURTIN S, BEZINE G, et al. Numerical simulation of fatigue crack propagation in compressive residual stress fields of notched round bars [J]. Fatigue and Fracture of Engineering Materials and Structures, 2007, 30(3): 231-242.

Views

下载量

CSCD

Alert me when the article has been cited

提交

Tools

Publicity Resources

Numerical Simulation of the Energy Conversion Process in Thermoacoustic Engines with Different Stack Materials

Numerical Simulation of Heat-Moisture Barrier Performance of a Horizontal Air Curtain in Cold Storage

Knowledge Graph Representation Learning Driven by Semantic Discrimination and Subgraph Integration

Sensitivity Analysis of Foil Geometrical Parameters for the Third-Generation CO2 Gas Foil Bearings Based on Design of Experiments Method

Bi-Level Multi-Obj ective Optimization of a Wind-Solar Coupled Hydrogen Production System Based on the Synergy of Hybrid Electrolyzer Arrays

Related Author

No data

Related Institution

No data

⁰