In:
PAMM, Wiley, Vol. 8, No. 1 ( 2008-12), p. 10573-10574
Abstract:
The computation of foam–like structures is still a topic of research. There are two basic approaches: the microscopic model where the foam–like structure is entirely resolved by a discretization (e.g. with Timoshenko beams) on a micro level, and the macroscopic approach which is based on a higher order continuum theory. A combination of both of them is the FE 2 ‐approach where the mechanical parameters of the macroscopic scale are obtained by solving a Dirichlet boundary value problem for a representative microstructure at each integration point. In this contribution, we present a two–dimensional geometrically nonlinear FE 2 ‐framework of first order (classical continuum theories on both scales) where the microstructures are discretized by continuum finite elements based on the p ‐version. The p ‐version elements have turned out to be highly efficient for many problems in structural mechanics. Further, a continuum–based approach affords two additional advantages: the formulation of geometrical and material nonlinearities is easier, and there is no problem when dealing with thicker beam–like structures. In our numerical example we will investigate a simple macroscopic shear test. Both the macroscopic load displacement behavior and the evolving anisotropy of the microstructures will be discussed. (© 2008 WILEY‐VCH Verlag GmbH & Co. KGaA, Weinheim)
Type of Medium:
Online Resource
ISSN:
1617-7061
,
1617-7061
DOI:
10.1002/pamm.200810573
Language:
English
Publisher:
Wiley
Publication Date:
2008
detail.hit.zdb_id:
2078931-2
Permalink