Asymptotic Analysis of Frictional Contact Problem for Piezoelectric Shallow Shell

The objective of this work is to study the asymptotic justification of a new two-dimensional model for the equilibrium state of a piezoelectric linear shallow shell in frictional contact with a rigid foundation. More precisely, we consider the Signorini problem with Tresca friction of a piezoelectric linear shallow shell in contact with a rigid foundation. Then, we establish the convergence of the mechanical displacement and the electric potential as the thickness of the shallow shell goes to zero.