A version of a refined non-linear theory of thin elastic sandwich shells of iteration type

Abstract

A version is proposed for the refined non-linear theory of thin elastic sandwich shells of a quadratic approximation based on reliance on the traditional Kirchhoff-Love hypotheses on the outer layers and a refined model on the filler. An iteration procedure is used to construct the latter, within whose framework expressions are derived for the components of the displacement vector in the first stage, under the assumption that the filler is transversely soft, by successive integration of the relationships of the three-dimensional theory of thermoelasticity with respect to the transferse coordinate. These expressions are then used in the second stage to calculate the components of the strain and stress tensor yielding to refinement. The advisability of using the set of relationships obtained to investigate the stability of sandwich shells in the refined formulation in order to clarify mixed buckling modes of the outer layers and the shell as a whole, is noted.