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A Journal of Russian Academy of Sciences
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IssuesArchive of Issues2025-1pp.88-102

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A.I. Epishin, D.S. Lisovenko, and M.I. Alymov, "A Model of Diffusion Annihilation of Gas-Filled Spherical Pores During Hot Isostatic Pressing," Mech. Solids. 60 (1), 88-102 (2025)
Year 2025 Volume 60 Number 1 Pages 88-102
DOI 10.1134/S0025654424604981
Title A Model of Diffusion Annihilation of Gas-Filled Spherical Pores During Hot Isostatic Pressing
Author(s) A.I. Epishin (Merzhanov Institute of Structural Macrokinetics and Materials Science of the Russian Academy of Sciences, Chernogolovka, 142432 Russia, a.epishin2021@gmail.com)
D.S. Lisovenko (Ishlinsky Institute for Problems in Mechanics of RAS, Moscow, 11952, Russia, lisovenk@ipmnet.ru)
M.I. Alymov (Merzhanov Institute of Structural Macrokinetics and Materials Science of the Russian Academy of Sciences, Chernogolovka, 142432 Russia)
Abstract A diffusion model of dissolution of gas-filled spherical pores in a solid during hot isostatic pressing (HIP) is proposed. It is assumed that the pore surface emits vacancies when a solid is loaded with external pressure, as a result of which the pores shrink in size. Two specific cases are considered: pores with a constant amount of insoluble gas and pores with a gas diffusively dissolving in the material surrounding the pore. In the first case, the increasing internal pressure of the gas in the pore first slows down the process of pore contraction and finally stops it completely when the internal pressure of the gas in the pore becomes equal to the sum of the externally applied HIP pressure and the Laplace pressure due to the pore surface tension. In the second case, the internal gas pressure in the pore decreases rapidly due to the dissolution of the gas in the material surrounding the pore and therefore pore contraction does not stop. When the pore reaches a sub-micron size, the pore contraction is quickly accelerated due to the increasing Laplace pressure and finally the pore annihilates.
Keywords gas-filled pores, hot isostatic pressing, diffusion, vacancies, single crystals of nickel-based superalloys
Received 01 August 2024Revised 07 August 2024Accepted 08 August 2024
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