MICROMORPHIC TWO-SCALE MODELLING OF PERIODIC GRID STRUCTURES
作者： Ralf Janicke , Hans-Georg Sehlhorst , Alexander Duster , Stefan Diebels
DOI: 10.1615/INTJMULTCOMPENG.2012003279
关键词: Continuum (measurement) 、 Cauchy distribution 、 Grid 、 Classical mechanics 、 Macro 、 Strain energy 、 Homogeneous 、 Homogenization (chemistry) 、 Mechanics 、 Microscale chemistry 、 Materials science
摘要: The present contribution focuses on the numerical homogenization of periodic grid structures. In order to investigate micro-to-macroscale transition, a consistent scheme will be presented, replacing heterogeneous Cauchy microcontinuum by homogeneous micromorphic substitute continuum macroscale. extended degrees freedom, namely, microdeformation and its gradient, are interpreted in terms geometrical deformation modes related loading conditions underlying unit cells. Assuming strain energy equivalence macro- microscale, effective constitutive properties square honeycomb structure identified quantitatively validated comparison reference calculations with microscopic resolution.
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