Direct Multi‐Scale Modeling of Sintering

A new multi-scale numerical approach for the modeling of sintering of macroscopically inhomogeneous materials is put forward. The new approach does not require the formulation of material constitutive equations: it specifies material properties through the definition of macroscopic unit cells. As a result, the influence of any number of material structure parameters on sintering kinetics and on specimen distortion can be investigated. The method is based on the consideration of the sintered body macroscopic behavior in parallel with an online analysis of the mesoscopic evolution of the unit cell structure. The developed modeling approach provides the information on the sintering progress at both macro- and meso-scale levels. The examples of diffusion sintering of ceramic composites and of viscous sintering of a bi-layer porous specimen containing voids of anisotropic shapes are considered.

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