Publication Cover
Applicable Analysis
An International Journal
Volume 95, 2016 - Issue 11
192
Views
49
CrossRef citations to date
0
Altmetric
Articles

Fully history-dependent quasivariational inequalities in contact mechanics

&
Pages 2464-2484 | Received 19 Jun 2015, Accepted 09 Sep 2015, Published online: 07 Oct 2015
 

Abstract

In this paper, we consider a new class of fully history-dependent quasivariational inequalities which arise in the study of quasistatic models of contact and involve two history-dependent operators. By using a fixed-point theorem and arguments of monotonicity and convexity, we prove an existence and uniqueness result of the solution, which includes as special cases some results already obtained in some papers. Then, the obtained result is applied to two problems of quasistatic frictional contact for viscoelastic materials and the unique weak solvability of each contact problem is obtained.

AMS Subject Classifications:

Notes

The authors declare that they have no conflict of interest.

Additional information

Funding

This work of the second author was supported by the National Natural Science Foundation of China [grant number 81171411]; the China Postdoctoral Science Foundation [grant number 2014M552328, 2015T80967]; the Postdoctoral Science Foundation of Sichuan Province, and the Scientific Research Foundation for the Returned Overseas Chinese Scholars, State Education Ministry.

Reprints and Corporate Permissions

Please note: Selecting permissions does not provide access to the full text of the article, please see our help page How do I view content?

To request a reprint or corporate permissions for this article, please click on the relevant link below:

Academic Permissions

Please note: Selecting permissions does not provide access to the full text of the article, please see our help page How do I view content?

Obtain permissions instantly via Rightslink by clicking on the button below:

If you are unable to obtain permissions via Rightslink, please complete and submit this Permissions form. For more information, please visit our Permissions help page.