Macro-micro dual scale crack model linked by a restraining stress zone with a linear distribution  

作者:Tang, XS (Tang, X. S.)[ 1 ] ; Gao, CH (Gao, C. H.)[ 1 ]  

THEORETICAL AND APPLIED FRACTURE MECHANICS

卷: 71

页: 31-43

特刊: SI

DOI: 10.1016/j.tafmec.2014.01.006

出版年: JUN 2014

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摘要

Material in a macro-crack tip zone would suffer to some extent damage under loading condition. This can be described by a restraining stress zone in which the distribution of restraining stresses would depend on the material damage. In order to consider the microscopic effects, a micro-notch is attached to the macro-crack tip. Thus, a macro-micro dual scale damage model is established. A linear distribution of restraining stresses is assumed in this work including three cases. Cases A, B and C are, respectively, a right triangle shape, uniform distribution and left triangle shape. Muskhelishivili approach is employed to solve the problem. Obtained are the stress intensity factors (SIF) both at the macro- and micro-scale, crack opening displacement (COD) and strain energy densities (SED) in the analytical form. Numerical calculations are performed. The results show that there is a complicated interaction between the macro-crack and micro-defect. In addition, the distribution of restraining stresses has a large influence on the SIF, COD and SED. (C) 2014 Elsevier Ltd. All rights reserved.

关键词

作者关键词:Linear elastic fracture mechanics (LEFM); Mutilscaling crack model; Restraining stress zone; Stress intensity factor (SIF); Crack opening displacement (COD); Strain energy density (SED)

KeyWords PlusAMAGE MODEL; STRONG SINGULARITIES; BOUNDARY-CONDITIONS; ENERGY DENSITY; MESO; WEAK; TIP

作者信息

通讯作者地址: Tang, XS (通讯作者)

Changsha Univ Sci & Technol, Sch Civil Engn & Architecture, Dept Mech, Changsha 410114, Hunan, Peoples R China.

地址:  

[ 1 ] Changsha Univ Sci & Technol, Sch Civil Engn & Architecture, Dept Mech, Changsha 410114, Hunan, Peoples R China

电子邮件地址:tang_xuesong@sina.com


基金资助致谢


基金资助机构

授权号

National Natural Science Foundation of China  
51378081

查看基金资助信息   

出版商

ELSEVIER SCIENCE BV, PO BOX 211, 1000 AE AMSTERDAM, NETHERLANDS


类别 / 分类

研究方向:Engineering; Mechanics

Web of Science 类别:Engineering, Mechanical; Mechanics


文献信息

文献类型:Article

语种:English

入藏号: WOS:000341555500005

ISSN: 0167-8442

eISSN: 1872-7638


期刊信息

Impact Factor (影响因子):  Journal Citation Reports®

其他信息

IDS 号: AO7TM

Web of Science 核心合集中的 "引用的参考文献": 16

Web of Science 核心合集中的 "被引频次": 0

Accession number:  

20151300692296

              
Title:  
A model of moving crack with a linear distribution of restraining stresses in crack tip zone
      
Authors:  
Tang, Xue-Song1; Chen, Min-Wei1; Gao, Chang-Hui1  
    Author affiliation:  1 Department of Mechanics, School of Civil Engineering and Architecture, Changsha University of Science and Technology, Changsha, China  
              
Source title:  
Zhendong yu Chongji/Journal of Vibration and Shock
   
Abbreviated source title:  
J Vib Shock
   
Volume:  
34
        
Issue:  
3
        
Issue date:  
February 15, 2015
   
Publication year:  
2015
        
Pages:  
183-187
        
Language:  
Chinese
   
ISSN:  
10003835   
            
Document type:  
Journal article (JA)
               
Publisher:  
Chinese Vibration Engineering Society
      
Abstract:  
The analytical solution of moving Griffith crack model with a constant speed is well known as Yoffe solution. For a static crack, its strip yielding model is well known as Dugdale model. It is found that when Dugdale model is generalized to the moving crack case, the crack opening displacement (COD) is discontinuous and approaches to positive and negative infinite at Rayleigh wave speed. Here, a restraining stress zone was attached to the crack tip while two speed effect functions were introduced assuming the restraining stress zone has a linear distribution. The complex function approach was employed to solve the problem. Analytical solutions of dynamic stress intensity factor (SIF) and crack opening displacement (COD) were then obtained. The new COD result was continuous and finite at Rayleigh wave speed. Some numerical results of COD were presented. Some valuable conclusions were obtained. ©, 2015, Chinese Vibration Engineering Society. All right reserved.
            
Number of references:  
21
               
Main heading:  
Cracks  
      
Controlled terms:  
Crack propagation  -  Crack tips  -  Griffith cracks  -  Rayleigh waves  -  Stress intensity factors  
   
Uncontrolled terms:  
Complex functions  -  Crack opening displacements  -  Model I  -  Moving cracks  -  Stress intensity factor (SIF)  
        
Classification code:  
408 Structural Design -  421 Strength of Building Materials; Mechanical Properties -  484 Seismology
                DOI:  10.13465/j.cnki.jvs.2015.03.030
              
Database:  
Compendex
   Compilation and indexing terms, © 2015 Elsevier Inc.


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楼上正解，非常详细了
一般需要doi、IDS、wos号