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Mechanically homogenized material model for a pack of sheets
Author(s) -
Vorhauer Larissa G.,
Gerstmayr Johannes
Publication year - 2009
Publication title -
pamm
Language(s) - English
Resource type - Journals
ISSN - 1617-7061
DOI - 10.1002/pamm.200910185
Subject(s) - discretization , finite element method , sheet metal , plane (geometry) , benchmark (surveying) , dimension (graph theory) , homogenization (climate) , materials science , mechanics , structural engineering , mathematical analysis , mathematics , geometry , engineering , physics , geology , combinatorics , biodiversity , ecology , geodesy , biology
Abstract In the present contribution we discuss the modeling of a large number of plane metal sheets under compressive forces. The direct approach to this contact problem is based on a finite element (FE) discretization of each sheet and a contact formulation between each adjacent sheet. The numerical problem is highly non‐linear and of very large dimension. Therefore it is difficult to be solved by conventional FE‐software. We propose to replace the contact model by a homogenized constitutive law, which behaves as a pack of infinitely thin sheets. A coarser discretization as for the contact model can be used. A pack of sheets under pressure normal to the sheet plane serves as a benchmark example. The model is verified and implemented for the 2D case and numerical results of the test case are shown. (© 2009 Wiley‐VCH Verlag GmbH & Co. KGaA, Weinheim)