Variationally consistent computational homogenization of transient heat conduction using Craig-Bampton mode synthesis

Abdullah Waseem (1, 2) , Thomas Heuzé (1) , Laurent Stainier (1) , V G Kouznetsova (2) , M G D Geers (2)

1 GeM - Institut de Recherche en Génie Civil et Mécanique
2 TU/e - Eindhoven University of Technology [Eindhoven]

Material with different constituents play an important rule in engineering applications, especially as the demand for smaller devices are increasing and their realization by modern day fabrication technology is improving, it has become very important to correctly capture the underlying physics of these components and design them accordingly. These materials, with different constituents improve the engineering performance, are called heterogeneous materials. Different sizes, topologies and material properties make this task of correctly representing the physics more challenging. These fluctuations in properties of constituents render the coefficients of governing equations under consideration very oscillatory and makes it harder to capture the true response with some analytical or numerical tool.

Mots clés: Transient Heat Conduction; FE²; Craig-Bampton Mode Synthesis; Periodic Homogenization

Domaines: Modélisation et simulation; Thermique [physics.class-ph]

Abdullah Waseem, Thomas Heuzé, Laurent Stainier, V G Kouznetsova, M G D Geers. Variationally consistent computational homogenization of transient heat conduction using Craig-Bampton mode synthesis. Colloque national MECAMAT, Jan 2018, Aussois, France. ⟨hal-02279999⟩