THEORETICAL PRINCIPLES OF MICROMECHANICAL AVERAGING OF LINEAR VISCOUS FLOW OF A POROUS MATERIAL WITH CAPILLARY STRESSES ON THE PORE SURFACE

Abstract

Based on the fundamentals of composite mechanics, the general structure of the constitutive relationship for the flow
of a porous material with a linear-viscous matrix in the presence of capillary stresses on the surface of the pores was analyzed.
Such rheological models are used in modeling the sintering process in powder metallurgy and ceramic. The constitutive
relationship describing the effective flow of such a material can be obtained from the constitutive relationship for a "usual"
porous material with a free pore surface by adding an additional tensor stress field caused by the presence of capillary forces
on the pore surface. The general results obtained in the work, regardless of the specific structure of the porous material, are
useful first of all for direct computer simulation of the structure of the pore space during sintering, without the use of analytical
models. These results were used in the author's previous works on multiscale modeling of the sintering process.