Journal article
Elastic beam in adhesive contact
International journal of solids and structures, Vol.39(5), pp.1145-1164
2002
DOI: 10.1016/S0020-7683(01)00250-5
Abstract
Dynamic and quasistatic processes of contact with adhesion between an elastic or viscoelastic beam and a foundation are considered. The contact is modeled with the Signorini condition when the foundation is rigid, and with normal compliance when it is deformable. The adhesion is modeled by introducing the bonding function β, the evolution of which is described by an ordinary differential equation. The existence and uniqueness of the weak solution for each of the problems is established using the theory of variational inequalities, fixed point arguments and the existence and uniqueness result in Commun. Contemp. Math. 1(1) (1999) 87–123. The numerical approximations of the quasistatic problem with normal compliance are considered, based on semi-discrete and fully discrete schemes. The convergence of the solutions of the discretized schemes is proved and error estimates for these approximate solutions are derived.
Details
- Title: Subtitle
- Elastic beam in adhesive contact
- Creators
- W Han - Department of Mathematics, University of Iowa, Iowa City, IA 52242, USAK.L Kuttler - Department of Mathematics, Brigham Young University Provo, UT 84602, USAM Shillor - Department of Mathematics and Statistics, Oakland University, Rochester, MI 48309, USAM Sofonea - Laboratorie de Théorie des Systèmes, Université de Perpignan 66 860 Perpignan, France
- Resource Type
- Journal article
- Publication Details
- International journal of solids and structures, Vol.39(5), pp.1145-1164
- DOI
- 10.1016/S0020-7683(01)00250-5
- ISSN
- 0020-7683
- eISSN
- 1879-2146
- Publisher
- Elsevier Ltd
- Language
- English
- Date published
- 2002
- Academic Unit
- Mathematics
- Record Identifier
- 9983985712402771
Metrics
18 Record Views