Abstract
A new approach is proposed to model the sintering of inhomogeneous macroscopic powder bodies. Each macroscopic element has a corresponding representative cell defined at the mesoscopic level of powder particles. Numerical modeling is carried out both at the level of representative cells and macroscopic level. The new approach does not use macroscopic constitutive equations in analytical form but rather derive them by homogenization over the representative cells. Thus, the number of internal parameters in sintering models can be increased and the effect of other parameters such as pore size distribution and anisotropy on sintering kinetics can be considered. Free sintering of ceramic matrix composites with coarse inert inclusions is modeled as an example. It is shown that the results of modeling and experiment agree if shear-induced dilatation of ceramic matrix powder during sintering is assumed.
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