Path-independent integral for heterogeneous media with respect to field discontinuities

Yao Zheng, Shyy-Woei Chang, Zupei Yuan

Research output: Contribution to journalArticle

2 Citations (Scopus)

Abstract

By means of counter-evidence, it is proved that the original J integral does not satisfy the conservation law for general heterogeneous media. In the present paper, a modified version J* is re-proposed, which is a path-independent integral. The modifier term is related to stress and strain discontinuities occurring in material interfaces, and possibly occurring in interfaces between elastic and plastic zones. The integral J* can be interpreted as an expression of energy release rate, therefore, there exists an integral fracture criterion correspondingly. With regard to computational aspects related to finite element analysis, interface elements have been proposed to deal with stress and strain discontinuities in the material interfaces. For a generic case, adaptive analysis is recommended to take into account the discontinuities in the material interfaces, and possible discontinuities in the interfaces between elastic and plastic zones around a crack tip, in an optimal manner.

Original languageEnglish
Pages (from-to)212-224
Number of pages13
JournalComputational Materials Science
Volume18
Issue number2
DOIs
Publication statusPublished - 2000 Jan 1

Fingerprint

Heterogeneous Media
Discontinuity
discontinuity
Path
J-integral
Plastic Zone
Plastics
plastics
Interface Element
Energy Release Rate
J integral
Energy release rate
Crack Tip
Crack tips
Conservation Laws
crack tips
Interfaces (computer)
conservation laws
Conservation
Finite Element

All Science Journal Classification (ASJC) codes

  • Computer Science(all)
  • Chemistry(all)
  • Materials Science(all)
  • Mechanics of Materials
  • Physics and Astronomy(all)
  • Computational Mathematics

Cite this

@article{8106d555b5e14811a0cdb63a1105ff88,
title = "Path-independent integral for heterogeneous media with respect to field discontinuities",
abstract = "By means of counter-evidence, it is proved that the original J integral does not satisfy the conservation law for general heterogeneous media. In the present paper, a modified version J* is re-proposed, which is a path-independent integral. The modifier term is related to stress and strain discontinuities occurring in material interfaces, and possibly occurring in interfaces between elastic and plastic zones. The integral J* can be interpreted as an expression of energy release rate, therefore, there exists an integral fracture criterion correspondingly. With regard to computational aspects related to finite element analysis, interface elements have been proposed to deal with stress and strain discontinuities in the material interfaces. For a generic case, adaptive analysis is recommended to take into account the discontinuities in the material interfaces, and possible discontinuities in the interfaces between elastic and plastic zones around a crack tip, in an optimal manner.",
author = "Yao Zheng and Shyy-Woei Chang and Zupei Yuan",
year = "2000",
month = "1",
day = "1",
doi = "10.1016/S0927-0256(00)00102-6",
language = "English",
volume = "18",
pages = "212--224",
journal = "Computational Materials Science",
issn = "0927-0256",
publisher = "Elsevier",
number = "2",

}

Path-independent integral for heterogeneous media with respect to field discontinuities. / Zheng, Yao; Chang, Shyy-Woei; Yuan, Zupei.

In: Computational Materials Science, Vol. 18, No. 2, 01.01.2000, p. 212-224.

Research output: Contribution to journalArticle

TY - JOUR

T1 - Path-independent integral for heterogeneous media with respect to field discontinuities

AU - Zheng, Yao

AU - Chang, Shyy-Woei

AU - Yuan, Zupei

PY - 2000/1/1

Y1 - 2000/1/1

N2 - By means of counter-evidence, it is proved that the original J integral does not satisfy the conservation law for general heterogeneous media. In the present paper, a modified version J* is re-proposed, which is a path-independent integral. The modifier term is related to stress and strain discontinuities occurring in material interfaces, and possibly occurring in interfaces between elastic and plastic zones. The integral J* can be interpreted as an expression of energy release rate, therefore, there exists an integral fracture criterion correspondingly. With regard to computational aspects related to finite element analysis, interface elements have been proposed to deal with stress and strain discontinuities in the material interfaces. For a generic case, adaptive analysis is recommended to take into account the discontinuities in the material interfaces, and possible discontinuities in the interfaces between elastic and plastic zones around a crack tip, in an optimal manner.

AB - By means of counter-evidence, it is proved that the original J integral does not satisfy the conservation law for general heterogeneous media. In the present paper, a modified version J* is re-proposed, which is a path-independent integral. The modifier term is related to stress and strain discontinuities occurring in material interfaces, and possibly occurring in interfaces between elastic and plastic zones. The integral J* can be interpreted as an expression of energy release rate, therefore, there exists an integral fracture criterion correspondingly. With regard to computational aspects related to finite element analysis, interface elements have been proposed to deal with stress and strain discontinuities in the material interfaces. For a generic case, adaptive analysis is recommended to take into account the discontinuities in the material interfaces, and possible discontinuities in the interfaces between elastic and plastic zones around a crack tip, in an optimal manner.

UR - http://www.scopus.com/inward/record.url?scp=0003466378&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=0003466378&partnerID=8YFLogxK

U2 - 10.1016/S0927-0256(00)00102-6

DO - 10.1016/S0927-0256(00)00102-6

M3 - Article

VL - 18

SP - 212

EP - 224

JO - Computational Materials Science

JF - Computational Materials Science

SN - 0927-0256

IS - 2

ER -