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On the transformation laws for the macro to micro transformation
Author(s) -
Jahn Momme,
Meywerk Martin
Publication year - 2019
Publication title -
pamm
Language(s) - English
Resource type - Journals
ISSN - 1617-7061
DOI - 10.1002/pamm.201900354
Subject(s) - macro , transformation (genetics) , kinetic energy , finite element method , classical mechanics , stress (linguistics) , energy–momentum relation , momentum (technical analysis) , mechanics , macroscopic scale , representative elementary volume , mathematics , physics , engineering , structural engineering , computer science , philosophy , biochemistry , chemistry , linguistics , finance , economics , gene , programming language , quantum mechanics
In this contribution a transformation from macro‐ to micro‐mechanical quantities is shown. The macro‐scale is treated with the Cosserat‐continuum and is simulated with the Finite‐Element‐Method (FEM), while the body in micro‐scale is simulated with the Discrete‐Element‐Method (DEM). The transformation preserve the mass, the kinetic energy, the momentum, the moment of momentum and the energy of stress, couple stress and volume forces.