Spatial estimates for transient and steady-state solutions in transversely isotropic plates of Mindlin-type

Francesca Passarella , Vittorio Zampoli

This paper concerns with a state of bending for a linear transversely isotropic plate model based on the Mindlin assumption on the displacement. By using appropriate families of line-integral measures, we are able to establish results about the spatial behaviour of transient and steady-state solutions. All the results are obtained under relaxed hypotheses on the positive definiteness of the elasticity tensor.

Mots clés: Mindlin plates; Bending; Transverse isotropy; Strong elliptic elasticity tensor; Spatial behaviour

Francesca Passarella, Vittorio Zampoli. Spatial estimates for transient and steady-state solutions in transversely isotropic plates of Mindlin-type. European Journal of Mechanics - A/Solids, 2010, 28 (4), pp.868. ⟨10.1016/j.euromechsol.2009.01.004⟩. ⟨hal-00617070⟩