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Influence of Inertia on the Microscale in Homogenization

  1. S. Alvermann*,
  2. M. Schanz

Article first published online: 24 NOV 2004

DOI: 10.1002/pamm.200410071

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PAMM

PAMM

Volume 4, Issue 1, pages 179–180, December 2004

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How to Cite

Alvermann, S. and Schanz, M. (2004), Influence of Inertia on the Microscale in Homogenization. Proc. Appl. Math. Mech., 4: 179–180. doi: 10.1002/pamm.200410071

Author Information

  1. Institute of Applied Mechanics, TU Braunschweig, Spielmannstr. 11, 38106 Braunschweig, Germany

*Phone: +49 (0)531 391 7104, Fax: +49 (0)531 391 7104

Publication History

  1. Issue published online: 24 NOV 2004
  2. Article first published online: 24 NOV 2004

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Abstract

When calculating effective dynamical properties of a material, inertia on the microscale is usually neglected. Here, contrary to these approaches, inertia effects are taken into account, leading to a frequency dependent microscopic behavior. Thus, a frequency dependent macroscopic constitutive equation is required. Therefore, a viscoelastic constitutive equation is applied on the macroscale. The material parameters are found using an Evolutionary Strategy. In the 1-D case, system responses on the micro- and macroscale show a good agreement in a frequency range from 0 up to the first eigenfrequency of the microstructure. (© 2004 WILEY-VCH Verlag GmbH & Co. KGaA, Weinheim)

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