Book chapter
A Variational-Hemivariational Inequality in Contact Mechanics
Mathematical Modelling in Solid Mechanics, pp.251-264
Advanced Structured Materials, Springer Singapore
03/12/2017
DOI: 10.1007/978-981-10-3764-1_16
Abstract
This chapter deals with a new mathematical model for the frictional contact between an elastic body and a rigid foundation covered by a deformable layer made of soft material. We study the model in the form of a variational-hemivariational inequality for the displacement field. We review a unique solvability result of the problem under certain assumptions on the data. Then we turn to the numerical solution of the problem, based on the finite element method. We derive an optimal order error estimate for the linear finite element solution. Finally, we present numerical simulation results in the study of a two-dimentional academic example. The theoretically predicted optimal convergence order is observed numerically. Moreover, we provide mechanical interpretations of the numerical results for our contact model.
Details
- Title: Subtitle
- A Variational-Hemivariational Inequality in Contact Mechanics
- Creators
- Mircea Sofonea - Université de PerpignanWeimin Han - University of IowaMikaël Barboteu - Université de Perpignan
- Resource Type
- Book chapter
- Publication Details
- Mathematical Modelling in Solid Mechanics, pp.251-264
- Series
- Advanced Structured Materials
- DOI
- 10.1007/978-981-10-3764-1_16
- eISSN
- 1869-8441
- ISSN
- 1869-8433
- Publisher
- Springer Singapore; Singapore
- Language
- English
- Date published
- 03/12/2017
- Academic Unit
- Mathematics
- Record Identifier
- 9984240775002771
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