|
|||||
 |
|
|
|
|
|
|
|
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
3.135.217.228
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 |
|
