Asymptotic modelling of a Signorini problem of generalized Marguerre-von Kármán shallow shells

Abstract

Chacha and Bensayah [Asymptotic modeling of a Coulomb frictional Signorini problem for the von Kármán plates, C. R. Mécanique 336 (2008), pp. 846–850] have studied the asymptotic modelling of Coulomb frictional unilateral contact problem between an elastic nonlinear von Kármán plate and a rigid obstacle. The main result obtained is that the leading term of the asymptotic expansion is characterized by a two-dimensional Signorini problem but without friction. In this article, we extend this study to the case of a shallow shell under generalized Marguerre-von Kármán conditions.

Keywords:

• Signorini problem
• Coulomb friction
• generalized Marguerre-von Kármán conditions
• unilateral contact
• elastic shallow shell

AMS Subject Classifications:

• 78M35
• 74B20
• 35L85
• 70F40