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Analysis of a general dynamic history-dependent variational–hemivariational inequality
- Source :
- Nonlinear Analysis: Real World Applications, Nonlinear Analysis: Real World Applications, Elsevier, 2017, 36, pp.69-88. ⟨10.1016/j.nonrwa.2016.12.007⟩
- Publication Year :
- 2017
- Publisher :
- HAL CCSD, 2017.
-
Abstract
- This paper is devoted to the study of a general dynamic variational–hemivariational inequality with history-dependent operators. These operators appear in a convex potential and in a locally Lipschitz superpotential. The existence and uniqueness of a solution to the inequality problem is explored through a result on a class of nonlinear evolutionary abstract inclusions involving a nonmonotone multivalued term described by the Clarke generalized gradient. The result presented in this paper is new and general. It can be applied to study various dynamic contact problems. As an illustrative example, we apply the theory on a dynamic frictional viscoelastic contact problem in which the contact is modeled by a nonmonotone Clarke subdifferential boundary condition and the friction is described by a version of the Coulomb law of dry friction with the friction bound depending on the total slip.
- Subjects :
- Applied Mathematics
Weak solution
010102 general mathematics
Superpotential
Mathematical analysis
General Engineering
General Medicine
Subderivative
Lipschitz continuity
01 natural sciences
010101 applied mathematics
Coulomb's law
Computational Mathematics
Nonlinear system
symbols.namesake
symbols
Boundary value problem
Uniqueness
0101 mathematics
[MATH]Mathematics [math]
General Economics, Econometrics and Finance
Analysis
ComputingMilieux_MISCELLANEOUS
Mathematics
Subjects
Details
- Language :
- English
- ISSN :
- 14681218
- Database :
- OpenAIRE
- Journal :
- Nonlinear Analysis: Real World Applications, Nonlinear Analysis: Real World Applications, Elsevier, 2017, 36, pp.69-88. ⟨10.1016/j.nonrwa.2016.12.007⟩
- Accession number :
- edsair.doi.dedup.....d0fffe45a68ee76c92bc96e1631546b6