 | | Mechanics of Solids A Journal of Russian Academy of Sciences | | Founded
in January 1966
Issued 6 times a year
Print ISSN 0025-6544 Online ISSN 1934-7936 |
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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 2024 | Revised |
07 August 2024 | Accepted |
08 August 2024 |
Link to Fulltext |
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