Cookies

We use cookies to ensure that we give you the best experience on our website. By continuing to browse this repository, you give consent for essential cookies to be used. You can read more about our Privacy and Cookie Policy.


Durham Research Online
You are in:

A configurational force driven cracking particle method for modelling crack propagation in 2D.

Ai, W. and Bird, R.E. and Coombs, W.M. and Augarde, C.E. (2019) 'A configurational force driven cracking particle method for modelling crack propagation in 2D.', Engineering analysis with boundary elements., 104 . pp. 197-208.

Abstract

This paper presents a novel combination of two numerical techniques to produce a method for solving fracture mechanics problems. A weak form meshless method, the cracking particles method, forms the basis of the mechanical model while crack propagation direction is calculated using configurational forces. The combined method is presented here for 2D quasi-brittle crack propagation. The configurational force approach has the advantage that it provides a prediction of the crack propagation direction which does not require decomposition of the stress and displacement fields for mixed-mode crack problems. The use of a meshless method removes the need for remeshing and it is therefore eminently suitable for multiple crack problems. The paper includes a discussion on the configurational force calculations via contour integration and domain integration and results are presented that show both approaches to be path independent when the integrations over the two crack surfaces cancel out, with domain integration generally providing better accuracy than contour integration. The contribution from the crack surfaces to the configurational force is discussed, and shown to have little influence on the final result while being easily affected by the oscillations around the crack tip. In addition, the relationship between the configurational force and the J-integral is explained. The proposed method is demonstrated on several examples, including multiple crack propagation, where good agreements with results from the literature are obtained.

Item Type:Article
Additional Information:Figure data is available from doi:10.15128/r2wp988j83d
Full text:Publisher-imposed embargo
(AM) Accepted Manuscript
Available under License - Creative Commons Attribution.
File format - PDF
(5281Kb)
Full text:(VoR) Version of Record
Available under License - Creative Commons Attribution.
Download PDF
(2207Kb)
Status:Peer-reviewed
Publisher Web site:https://doi.org/10.1016/j.enganabound.2019.03.008
Publisher statement:© 2019 The Authors. Published by Elsevier Ltd. This is an open access article under the CC BY license. (http://creativecommons.org/licenses/by/4.0/)
Date accepted:05 March 2019
Date deposited:06 March 2019
Date of first online publication:06 April 2019
Date first made open access:No date available

Save or Share this output

Export:
Export
Look up in GoogleScholar