RT Journal Article ID 64241dfb617de868 A1 Janicke, Ralf A1 Sehlhorst, Hans-Georg A1 Duster, Alexander A1 Diebels, Stefan T1 MICROMORPHIC TWO-SCALE MODELLING OF PERIODIC GRID STRUCTURES JF International Journal for Multiscale Computational Engineering JO JMC YR 2013 FD 2013-02-15 VO 11 IS 2 SP 161 OP 176 K1 cellular materials K1 FE2 method K1 homogenization K1 micromorphic media K1 size effects AB 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. PB Begell House LK https://www.dl.begellhouse.com/journals/61fd1b191cf7e96f,6218a4594d64a04c,64241dfb617de868.html