Micromorphic two-scale modelling of periodic grid structures
Artikel i vetenskaplig tidskrift, 2013

The present contribution focuses on the numerical homogenization of periodic grid structures. In order to investigate the micro-to-macroscale transition, a consistent numerical homogenization scheme will be presented, replacing a heterogeneous Cauchy microcontinuum by a homogeneous micromorphic substitute continuum on the macroscale. The extended degrees of freedom, namely, the microdeformation and its gradient, are to be interpreted in terms of geometrical deformation modes and the related loading conditions of the underlying unit cells. Assuming strain energy equivalence of the macro- and the microscale, the effective constitutive properties of a square and a honeycomb grid structure are identified and quantitatively validated in comparison to reference calculations with microscopic resolution.

FE2 method

micromorphic media

cellular materials


size effects


Ralf Jänicke

Ruhr-Universität Bochum

H. Georg Sehlhorst

Technische Universität Hamburg-Harburg (TUHH)

Alexander Düster

Technische Universität Hamburg-Harburg (TUHH)

Stefan Diebels

Universität des Saarlandes

International Journal for Multiscale Computational Engineering

1543-1649 (ISSN)

Vol. 11 2 161-176


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