On the formulation of a computational homogenization scheme with seamless transition from compressible to incompressible microstructures

Other conference contribution, 2013

In this paper, we discuss how the classical Dirichlet and Neumann boundary conditions in computational homogenization are applied to incompressible microstructures. We adopt a macroscale mixed velocity-pressure formulation that seamlessly handles the transition from compressible to incompressible microstructures. As a prototype problem, we consider liquid phase sintering, whereby the microstructure within a Representative Volume Element (RVE) is modeled as incompressible fluid particles with empty pores and with surface tension as the densifying mechanism. A porous ``green body'' thus evolves to a completely dense, and incompressible, microstructure. The example shows a numerical comparison between for a single RVE.