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2D modelling of thin skeletonal elastic shallow shells
Author(s) -
Michalak B.,
Woźniak Cz.
Publication year - 2009
Publication title -
pamm
Language(s) - English
Resource type - Journals
ISSN - 1617-7061
DOI - 10.1002/pamm.200910153
Subject(s) - shell (structure) , microstructure , shell model , feature (linguistics) , statistical physics , mechanics , materials science , physics , composite material , linguistics , philosophy , atomic physics
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)