Vol. 1, No. 8, 2006

Download this article
Download this article For screen
For printing
Recent Issues

Volume 12
Issue 3, 249–351
Issue 2, 147–247
Issue 1, 1–146

Volume 11, 5 issues

Volume 10, 5 issues

Volume 9, 5 issues

Volume 8, 8 issues

Volume 7, 10 issues

Volume 6, 9 issues

Volume 5, 6 issues

Volume 4, 10 issues

Volume 3, 10 issues

Volume 2, 10 issues

Volume 1, 8 issues

The Journal
Cover
Editorial Board
Research Statement
Scientific Advantage
Submission Guidelines
Submission Form
Subscriptions
Author Index
To Appear
 
ISSN: 1559-3959
Crack initiation prediction for V-notches under mixed-mode loading in brittle materials

Jia Li and Xiao-Bing Zhang

Vol. 1 (2006), No. 8, 1385–1404
Abstract

In this work, crack initiation from a notch tip in elements subjected to a mixed mode loading was studied. Two phenomenological criteria, based on a concept of Leguillon, were proposed and applied to predict crack initiation from a V -notch tip in a brittle or quasibrittle material. The first criterion, called in this paper the G-σ criterion, makes use of the critical strain energy release rate and the ultimate tensile stress as the main parameters of fracture. It requires calculations of strain energy release rate after an infinitesimal crack kinking. By means of some numerical effort, we established the indispensable relationships between the strain energy release rate after crack kinking and the remote mixed mode loads. These relationships enabled us to apply directly the proposed criterion to mixed-mode loaded notches. We also modified the strain energy density criterion proposed by Sih on the basis of Leguillon’s concept to form a criterion capable of predicting the crack initiation from a V -notch tip. This criterion, which we call the S-σ criterion, benefits from its simplicity in applications. Confrontation with experimental data shows that both the criteria enable reasonably accurate prediction of fracture in elements with V -notches subjected to mixed mode loading. Consequently, they can be effectively applied in practical engineering applications.

Keywords
fracture criteria, brittle fracture, v-shaped notches, mixed mode loading, crack initiation
Milestones
Received: 2 December 2005
Revised: 20 May 2006
Accepted: 8 June 2006
Published: 1 December 2006
Authors
Jia Li
LPMTM, CNRS UPR 9001
Institut Galilée, Université Paris 13
  99 Avenue Jean-Baptiste Clément
93430 Villetaneuse
France
Xiao-Bing Zhang
LAMI, Université Blaise Pascal de Clermont-Ferrand
Avenue Aristide Briand
03100 Montluçon
France