Abstract
A mathematical model of the behavior of an isolated gas-filled pore in amorphous and crystalline bodies is presented. The balance of surface tension forces, the external pressure, and gas pressure in the pore, which affect the pore, is laid at the basis of the variation in the pore size and gas pressure in it. A qualitative analysis of distinctions in the behavior of the pore in amorphous and crystalline bodies is performed, and a set of differential equations that describe the pore behavior in both cases is analyzed. The proposed model of behavior of the gas-filled pore in an infinite space can serve as the basis for the analysis of more complex cases.
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