Publisher DOI: 10.1615/IntJMultCompEng.2012003279
Title: Micromorphic two-scale modelling of periodic grid structures
Language: English
Authors: Jänicke, Ralf 
Sehlhorst, Hans-Georg 
Düster, Alexander 
Diebels, Stefan 
Keywords: Cellular materials; FE method 2; Homogenization; Micromorphic media; Size effects
Issue Date: 2013
Publisher: Begell
Source: International Journal for Multiscale Computational Engineering 2 (11): 161-176 (2013)
Abstract (english): 
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. © 2013 by Begell House, Inc.
ISSN: 1940-4352
Journal: International journal for multiscale computational engineering 
Institute: Konstruktion und Festigkeit von Schiffen M-10 
Document Type: Article
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