12) Computational homogenization in heat conduction problems with application to heterogeneous materials

posted Jul 1, 2011, 3:28 AM by Ecmi Milano   [ updated Jul 7, 2011, 11:54 PM ]

Instructor: Paola Causin

Several material commonly adopted in engineering applications – for example, refractories used in thermal coatings or microelectronics - are strongly heterogeneous and display a multi-phase porous microstructure. An accurate prediction of the behavior of such material under different conditions requires a comprehensive understanding of the distribution of the relevant physical fields –for example the temperature when considering heat conduction problems-both at the macroscopic and microscopic level. A possible approach for such an analysis is based on the principle of scale separation, according to which one can take into account the local microstructural features and transfer this information to the macroscopic level in a physically consistent manner. In this project, we aim at investigating a computational methodology of homogenization as a tool for the transfer of the information between the micro and macro scale. The application will be the simulation of evolving thermal fields within materials of complex microstructure, with properties possibly depending on the temperature itself.

Preferred mathematical background: one basic course on numerical analysis and physics. Knowledge of the finite element method (at least from a theoretical point of view) is preferable. Matlab programming.