Mathematical modeling of the effect of an insulating stiffener on a nonlinear thermo-elastic plate

This paper deals with the mathematical modeling of the behavior of a reinforced rectangular thermo-elastic plate with a thin insulating stiffener. We use a variational asymptotic analysis, with respect to the thickness of the inserted body, in order to identify limit models that reflect its effect on the plate. We carry out a mathematical modeling for a stiffener of high rigidity and a stiffener of moderate rigidity.

Keywords:

Asymptotic analysis , rectangular plate , thin insulating stiffener , nonlinear partial differential equations , approximate boundary conditions