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A new class of fully history-dependent variational-hemivariational inequalities with application to contact mechanics.
- Source :
-
Optimization . Jun2024, Vol. 73 Issue 6, p1703-1738. 36p. - Publication Year :
- 2024
-
Abstract
- In this paper, we consider the behaviour of solutions to a class of fully history-dependent variational-hemivariational inequalities with respect to the perturbation of the data. First, the existence and uniqueness of the solution to a class of fully history-dependent variational-hemivariational inequalities is obtained by using a fixed point theorem. Second, we obtain continuous dependence result of solutions with respect to all the data of variational-hemivariational inequalities. Meanwhile, the convergence results of the solutions for the special case of abstract variational inequalities are also given. Finally, to illustrate our main results, we consider a class of viscoelastic contact problem with a long memory. By using our abstract result, we get the continuous dependence of the solutions to frictional contact problem with respect to all the data. [ABSTRACT FROM AUTHOR]
- Subjects :
- *CONTACT mechanics
Subjects
Details
- Language :
- English
- ISSN :
- 02331934
- Volume :
- 73
- Issue :
- 6
- Database :
- Academic Search Index
- Journal :
- Optimization
- Publication Type :
- Academic Journal
- Accession number :
- 177242338
- Full Text :
- https://doi.org/10.1080/02331934.2023.2173526