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Effective Dynamic Material Properties of Foam‐like Microstructures
Author(s) -
Alvermann S.,
Schanz M.
Publication year - 2005
Publication title -
pamm
Language(s) - English
Resource type - Journals
ISSN - 1617-7061
DOI - 10.1002/pamm.200510089
Subject(s) - representative elementary volume , microscale chemistry , homogenization (climate) , materials science , viscoelasticity , microstructure , auxetics , material properties , inertia , composite material , constitutive equation , frequency domain , mechanics , finite element method , classical mechanics , thermodynamics , mathematical analysis , mathematics , physics , biology , biodiversity , ecology , mathematics education
The effective material parameters of a microstructured material can be found using homogenization procedures based on calculations of a Representative Volume Element (RVE) of the material. In our approach the RVE is calculated in frequency domain and inertia is taken into account, leading to a frequency dependent behavior of the RVE.With the frequency response of the RVE, effective dynamic properties of the material are calculated using an optimization procedure. Due to the frequency dependent material behavior on the microscale a viscoelastic constitutive equation is applied on the macroscale. An example calculation is presented for an auxetic 2‐D foam‐like microstructure which is modelled as a plane frame structure. (© 2005 WILEY‐VCH Verlag GmbH & Co. KGaA, Weinheim)