Download this article
Download this article For screen
For printing
Recent Issues
Volume 12, Issue 1
Volume 11, Issue 4
Volume 11, Issue 3
Volume 11, Issue 2
Volume 11, Issue 1
Volume 10, Issue 4
Volume 10, Issue 3
Volume 10, Issue 2
Volume 10, Issue 1
Volume 9, Issue 4
Volume 9, Issue 3
Volume 9, Issue 2
Volume 9, Issue 1
Volume 8, Issue 4
Volume 8, Issue 3
Volume 8, Issue 2
Volume 8, Issue 1
Volume 7, Issue 4
Volume 7, Issue 3
Volume 7, Issue 2
Volume 7, Issue 1
Volume 6, Issue 4
Volume 6, Issue 3
Volume 6, Issue 2
Volume 6, Issue 1
Volume 5, Issue 3-4
Volume 5, Issue 2
Volume 5, Issue 1
Volume 4, Issue 3-4
Volume 4, Issue 2
Volume 4, Issue 1
Volume 3, Issue 4
Volume 3, Issue 3
Volume 3, Issue 2
Volume 3, Issue 1
Volume 2, Issue 2
Volume 2, Issue 1
Volume 1, Issue 2
Volume 1, Issue 1
The Journal
About the journal
Ethics and policies
Peer-review process
 
Submission guidelines
Submission form
Editorial board
 
Subscriptions
 
ISSN (electronic): 2325-3444
ISSN (print): 2326-7186
 
Author index
To appear
 
Other MSP journals
This article is available for purchase or by subscription. See below.
A generalised time-evolution model for contact problems with wear and its analysis

Dmitry Ponomarev

Vol. 10 (2022), No. 3, 279–319
Abstract

We revisit some classical and recent works on modelling sliding contact with wear and propose their generalisation. Namely, we upgrade the relation between the pressure and the wear rate by incorporating some nonlocal time-dependence. To this effect, we use a combination of fractional calculus and relaxation effects. Moreover, we consider a possibility when the load is not constant in time. The proposed model is analysed and solved. The results are illustrated numerically and comparisons with similar models are discussed.

PDF Access Denied

We have not been able to recognize your IP address 3.234.244.181 as that of a subscriber to this journal.
Online access to the content of recent issues is by subscription only.

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.

Keywords
contact problems, punch motion with a constant speed, wear of material, fractional order models
Mathematical Subject Classification
Primary: 26A33, 45A05, 45B05, 45M05, 45P05
Milestones
Received: 17 March 2022
Revised: 7 September 2022
Accepted: 10 October 2022
Published: 4 December 2022

Communicated by Emilio Barchiesi
Authors
Dmitry Ponomarev
FACTAS Team
Centre Inria d’Université Côte d’Azur
Biot
France
St. Petersburg Department
Steklov Mathematical Institute
Russian Academy of Sciences
St. Petersburg
Russia