Journal article
On numerical approximation of a variational–hemivariational inequality modeling contact problems for locking materials
Computers & mathematics with applications (1987), Vol.77(11), pp.2894-2905
06/01/2019
DOI: 10.1016/j.camwa.2018.08.004
Abstract
This paper is devoted to numerical analysis of a new class of elliptic variational–hemivariational inequalities in the study of a family of contact problems for elastic ideally locking materials. The contact is described by the Signorini unilateral contact condition and the friction is modeled by a nonmonotone multivalued subdifferential relation allowing slip dependence. The problem involves a nonlinear elasticity operator, the subdifferential of the indicator function of a convex set for the locking constraints and a nonconvex locally Lipschitz friction potential. Solution existence and uniqueness result on the inequality can be found in Migórski and Ogorzaly (2017) . In this paper, we introduce and analyze a finite element method to solve the variational–hemivariational inequality. We derive a Céa type inequality that serves as a starting point of error estimation. Numerical results are reported, showing the performance of the numerical method.
Details
- Title: Subtitle
- On numerical approximation of a variational–hemivariational inequality modeling contact problems for locking materials
- Creators
- Mikaël Barboteu - Université de PerpignanWeimin Han - University of IowaStanisław Migórski - Jagiellonian University
- Resource Type
- Journal article
- Publication Details
- Computers & mathematics with applications (1987), Vol.77(11), pp.2894-2905
- DOI
- 10.1016/j.camwa.2018.08.004
- ISSN
- 0898-1221
- eISSN
- 1873-7668
- Publisher
- Elsevier Ltd
- Language
- English
- Date published
- 06/01/2019
- Academic Unit
- Mathematics
- Record Identifier
- 9984240866502771
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