Vol. 15, No. 5, 2020

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

Volume 19
Issue 5, 747–835
Issue 4, 541–746
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
 
Subscriptions
 
ISSN 1559-3959 (online)
ISSN 1559-3959 (print)
 
Author index
To appear
 
Other MSP journals
This article is available for purchase or by subscription. See below.
Field intensity factors of three cracks originating from a circular hole in a thermoelectric material

Qing-Nan Liu and Sheng-Hu Ding

Vol. 15 (2020), No. 5, 605–617
Abstract

The fracture behavior of three cracks originating from a circular hole in a thermoelectric material is studied. The basic theory of thermoelectric materials is given under the condition of the impermeable boundary of the heat flux and electric current. By introducing the conformal mapping function, the infinite plane on the physical plane is mapped into the inner unit circle on the mathematical plane. The formulas of the relevant temperature and stress fields are derived, and the analytical solutions of the complex stress functions are obtained by the complex variable function method. According to Cauchy integral formula, the analytical expressions of the electric current intensity factor and the stress intensity factor for three cracks originating from a circular hole are obtained. The effects of the hole radius and the crack lengths on the electric current intensity factor and stress intensity factors were investigated.

PDF Access Denied

We have not been able to recognize your IP address 18.97.14.89 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 contact@msp.org
or by using our contact form.

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

Keywords
thermoelectric material, circular hole, three cracks, complex variable function, intensity factors
Milestones
Received: 3 July 2020
Revised: 10 August 2020
Accepted: 16 August 2020
Published: 30 November 2020
Authors
Qing-Nan Liu
School of Mathematics and Statistics
Ningxia University
Yinchuan, 750021
China
Sheng-Hu Ding
School of Mathematics and Statistics
Ningxia University
Yinchuan, 750021
China