quasistatic elastic contact with adhesion
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ID: 154270
2011
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Abstract
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.
| Reference Key |
teniou2011internationalquasistatic
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|---|---|
| Authors | ;Boudjemaa Teniou;Sabrina Benferdi |
| Journal | structural engineering and mechanics |
| Year | 2011 |
| DOI |
10.1155/2011/686139
|
| URL | |
| Keywords |
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