Quasistatic Elastic Contact with Adhesion
Joint Authors
Benferdi, Sabrina
Teniou, Boudjemaa
Source
International Journal of Mathematics and Mathematical Sciences
Issue
Vol. 2011, Issue 2011 (31 Dec. 2011), pp.1-13, 13 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2011-10-31
Country of Publication
Egypt
No. of Pages
13
Main Subjects
Abstract EN
The aim of this paper is the variational study of the contact with adhesion between an elastic material and a rigid foundation in the quasistatic process where the deformations are supposed to be small.
The behavior of this material is modelled by a nonlinear elastic law and the contact is modelled with Signorini's conditions and adhesion.
The evolution of bonding field is described by a nonlinear differential equation.
We derive a variational formulation of the mechanical problem, and we prove the existence and uniqueness of the weak solution using a theorem on variational inequalities, the theorem of Cauchy-Lipschitz, a lemma of Gronwall, as well as the fixed point of Banach.
American Psychological Association (APA)
Teniou, Boudjemaa& Benferdi, Sabrina. 2011. Quasistatic Elastic Contact with Adhesion. International Journal of Mathematics and Mathematical Sciences،Vol. 2011, no. 2011, pp.1-13.
https://search.emarefa.net/detail/BIM-490518
Modern Language Association (MLA)
Teniou, Boudjemaa& Benferdi, Sabrina. Quasistatic Elastic Contact with Adhesion. International Journal of Mathematics and Mathematical Sciences No. 2011 (2011), pp.1-13.
https://search.emarefa.net/detail/BIM-490518
American Medical Association (AMA)
Teniou, Boudjemaa& Benferdi, Sabrina. Quasistatic Elastic Contact with Adhesion. International Journal of Mathematics and Mathematical Sciences. 2011. Vol. 2011, no. 2011, pp.1-13.
https://search.emarefa.net/detail/BIM-490518
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-490518