2D modelling of thin skeletonal elastic shallow shells
Bohdan Michalak, Cz. Woźniak · PAMM · 2009
Abstract The subject of this contribution is a certain thin skeletonal elastic shallow shell. The aim of analysis is to derive and apply a 2D‐macroscopic model for shallow shells with the non‐uniformly oscillating microstructure. The main feature of the proposed mathematical model is that the microstructure length parameter λ is similar compared to thickness δ of the shell (λ ≃ δ). The formulation of approximate mathematical model of these shells is based on a tolerance averaging approximation [5]. The general results of the contribution will be illustrated by the analysis of a specific problem. (© 2009 Wiley‐VCH Verlag GmbH & Co. KGaA, Weinheim)