An Intrinsic Model for Thermoelastic Thin Shells

In view of the control of the thermoelastic thin shells, we consider the problem of modeling a dynamic thin shell with thermal effects, using the coordinate-free intrinsic model introduced by Michel Delfour and Jean-Paul Zolésio (5; 4). The aim of this method is to produce a coordinate free version of the shell equations, in contrast to the classical equations which require explicit representation of the nonconstant coefficients. With the intrinsic approach, one can exploit the underlying geometry of the shell to derive equations in which the nonconstant coefficients are written in the form of tangential operators. This enables us to better modify and apply known techniques that were developed for use in the constant-coefficient case (flat plate models).