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

Volume 19
Issue 4, 541–572
Issue 3, 303–540
Issue 2, 157–302
Issue 1, 1–156

Volume 18, 5 issues

Volume 17, 5 issues

Volume 16, 5 issues

Volume 15, 5 issues

Volume 14, 5 issues

Volume 13, 5 issues

Volume 12, 5 issues

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
About the journal
Ethics and policies
Peer-review process
Submission guidelines
Submission form
Editorial board
ISSN (electronic): 1559-3959
ISSN (print): 1559-3959
Author index
To appear
Other MSP journals
This article is available for purchase or by subscription. See below.
Analysis of multiple plastic stress singularities for antiplane V-notches in hardening materials by using the interpolating matrix method

Renyu Ge and Zongjun Hu

Vol. 17 (2022), No. 5, 403–420

Here, an efficient method is given to determine higher-order plastic stress singularities of general antiplane V-notches in a power-law hardening material. Owing to strong stress singularity, the notch tip regions arise in plastic deformation. First, the asymptotic displacement field in terms of radial coordinate at the notch tip is adopted. By introducing the displacement expressions into the fundamental differential equations of the plastic theory, it results in a set of nonlinear ordinary differential equations (ODEs) with the stress singularity orders and the associated eigenfunctions. Then, the interpolating matrix method is used to solve the eigenvalue problems of the ODEs by means of an iteration process. Several leading plastic stress singularity orders of the antiplane V-notches and cracks are obtained. The associated eigenvectors of the displacement and stress fields in the notch tip region are simultaneously determined with the same degree of accuracy. The validity and accuracy of the present method are demonstrated by comparing with the existed results for the typical examples.

PDF Access Denied

We have not been able to recognize your IP address as that of a subscriber to this journal.
Online access to the content of recent issues is by subscription, or purchase of single articles.

Please contact your institution's librarian suggesting a subscription, for example by using our journal-recom­mendation form. Or, visit our subscription page for instructions on purchasing a subscription.

You may also contact us at
or by using our contact form.

Or, you may purchase this single article for USD 45.00:

antiplane V-notch, hardening material, multiple stress singularity, plasticity, interpolating matrix method
Received: 15 October 2021
Revised: 27 March 2022
Accepted: 10 August 2022
Published: 22 February 2023
Renyu Ge
School of Architecture and Civil Engineering
Anhui Polytechnic University
Zongjun Hu
School of Civil Engineering
Hefei University of Technology