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Layer‐wise theory and finite elements for laminated poroelastic shells
Author(s) -
Gfrerer Michael,
Schanz Martin
Publication year - 2016
Publication title -
pamm
Language(s) - English
Resource type - Journals
ISSN - 1617-7061
DOI - 10.1002/pamm.201610086
Subject(s) - poromechanics , shell (structure) , finite element method , parametrization (atmospheric modeling) , surface (topology) , set (abstract data type) , layer (electronics) , orthotropic material , process (computing) , aluminium , geometry , mathematics , mathematical analysis , structural engineering , computer science , materials science , physics , engineering , composite material , optics , porous medium , porosity , programming language , radiative transfer , operating system
In order to consider growing expectations on vibro‐acoustic performance of products within the design process, reliable simulation tools are necessary. In this paper, we present a approach for the simulation of laminated shells composed of elastic and poroelastic layers. We assume that the shell is given by a parametrization, which allows us to work witn the exact geometry. The three‐dimensional problem is reduced to a two‐dimensional one, by choosing a set of through‐the‐thickness functions for each quantity and through‐the‐thickness integration. The implemented high order finite element approach for the reduced problem on the reference surface relays on hierarchical shape functions. In a numerical example, we show the influence of poroelastic materials attached to a aluminium shell. (© 2016 Wiley‐VCH Verlag GmbH & Co. KGaA, Weinheim)