The fiber-matrix interface crack

Ru-Min Chao, N. Laws

Research output: Contribution to journalArticle

11 Citations (Scopus)

Abstract

The problem of an interface crack between a circular fiber and the surrounding matrix is considered. The problem is formulated and solved with the help of complex variable methods. It is essential to take into account the existence of contact zones at the crack tips. The solution procedure relies on the use of crack opening displace- ments as the primary variables. Ultimately the governing equations are shown to consist of two coupled singular integral equations together with contact and single valuedness conditions. In general these equations must be solved by numerical methods. Attention is focused on the lengths of the contact zones. It is shown that the lengths of these contact zones are essentially independent of one of the Dundurs parameters.

Original languageEnglish
Pages (from-to)992-999
Number of pages8
JournalJournal of Applied Mechanics, Transactions ASME
Volume64
Issue number4
DOIs
Publication statusPublished - 1997 Jan 1

Fingerprint

fiber-matrix interfaces
cracks
Cracks
singular integral equations
complex variables
crack opening displacement
Fibers
crack tips
Crack tips
Contacts (fluid mechanics)
Integral equations
Numerical methods
fibers
matrices

All Science Journal Classification (ASJC) codes

  • Condensed Matter Physics
  • Mechanics of Materials
  • Mechanical Engineering

Cite this

@article{6acda8f5880e48bdb1cc1e6d0763d968,
title = "The fiber-matrix interface crack",
abstract = "The problem of an interface crack between a circular fiber and the surrounding matrix is considered. The problem is formulated and solved with the help of complex variable methods. It is essential to take into account the existence of contact zones at the crack tips. The solution procedure relies on the use of crack opening displace- ments as the primary variables. Ultimately the governing equations are shown to consist of two coupled singular integral equations together with contact and single valuedness conditions. In general these equations must be solved by numerical methods. Attention is focused on the lengths of the contact zones. It is shown that the lengths of these contact zones are essentially independent of one of the Dundurs parameters.",
author = "Ru-Min Chao and N. Laws",
year = "1997",
month = "1",
day = "1",
doi = "10.1115/1.2789011",
language = "English",
volume = "64",
pages = "992--999",
journal = "Journal of Applied Mechanics, Transactions ASME",
issn = "0021-8936",
publisher = "American Society of Mechanical Engineers(ASME)",
number = "4",

}

The fiber-matrix interface crack. / Chao, Ru-Min; Laws, N.

In: Journal of Applied Mechanics, Transactions ASME, Vol. 64, No. 4, 01.01.1997, p. 992-999.

Research output: Contribution to journalArticle

TY - JOUR

T1 - The fiber-matrix interface crack

AU - Chao, Ru-Min

AU - Laws, N.

PY - 1997/1/1

Y1 - 1997/1/1

N2 - The problem of an interface crack between a circular fiber and the surrounding matrix is considered. The problem is formulated and solved with the help of complex variable methods. It is essential to take into account the existence of contact zones at the crack tips. The solution procedure relies on the use of crack opening displace- ments as the primary variables. Ultimately the governing equations are shown to consist of two coupled singular integral equations together with contact and single valuedness conditions. In general these equations must be solved by numerical methods. Attention is focused on the lengths of the contact zones. It is shown that the lengths of these contact zones are essentially independent of one of the Dundurs parameters.

AB - The problem of an interface crack between a circular fiber and the surrounding matrix is considered. The problem is formulated and solved with the help of complex variable methods. It is essential to take into account the existence of contact zones at the crack tips. The solution procedure relies on the use of crack opening displace- ments as the primary variables. Ultimately the governing equations are shown to consist of two coupled singular integral equations together with contact and single valuedness conditions. In general these equations must be solved by numerical methods. Attention is focused on the lengths of the contact zones. It is shown that the lengths of these contact zones are essentially independent of one of the Dundurs parameters.

UR - http://www.scopus.com/inward/record.url?scp=0012331460&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=0012331460&partnerID=8YFLogxK

U2 - 10.1115/1.2789011

DO - 10.1115/1.2789011

M3 - Article

AN - SCOPUS:0012331460

VL - 64

SP - 992

EP - 999

JO - Journal of Applied Mechanics, Transactions ASME

JF - Journal of Applied Mechanics, Transactions ASME

SN - 0021-8936

IS - 4

ER -