Mechanics of porous media with phase transformations and periodical structures 2. Solutions of local and global problems

摘要

The present paper is devoted to solving two types of problems: local problems over a periodicity cell and averaged global problems, which were set in Dimitrienko (1997) for porous media with phase transformations of the type solid phase→gas. A periodicity cell with a cubic pore form is considered. The solution of these problems over the periodicity cell allow us to derive analytically a Darcy type low for a gas phase flow in a porous medium, to obtain an expression for intensive mass transfer between solid and gas phases, to set the form of constitutive relations for porous media with phase transformations, and also to calculate microstresses in the vicinity of a growing pore. As an example of solving a global averaged problem, the problem of one-sided high-temperature heating of a plate made of a polyimide polymer with phase transformations has been solved numerically.