Presentation Details
A homogenisation method based on the Irving-Kirkwood-Theory
Thursday, 12 Oct 2017; 11:10 - 11:30 in room 7.04
In Session:
CS06: Interface Models and Homogenization
Thursday, 12 Oct 2017; 10:30 - 12:30 in room 7.04
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1st and presenting Author
Maximilian Müller
Solid Mechanics
Technical University of Darmstadt
Darmstadt, Germany
Solid Mechanics
Technical University of Darmstadt
Darmstadt, Germany
2nd Author
Friedrich Gruttmann
Solid Mechanics
Technical University of Darmstadt
Darmstadt, Germany
Solid Mechanics
Technical University of Darmstadt
Darmstadt, Germany
Micro Abstract:
In this contribution a homogenisation method based on the Irving-Kirkwood theory is introduced. The homogenisation formulas for mass and impulse are consistent with the theory and from there homogenisation formulas for the stress tensor and body force vector are derived. A numerical implementation of the theory is shown and examples with various boundary conditions are presented and compared to results obtained with a Hill-Mandel-approach as well as a full scale approach.