Abstract—An analytical equation for the determination of the internal gas pressure in a pore is proposed. The equation is based on the solution of the problem of the theory of elasticity for the deformation of a spherical cavity situated at the center of a hollow sphere. This equation can be useful for the evaluation of the properties and structures of the products made by powder metallurgy methods and using additive technologies, as well as for the improvement of these technologies.
REFERENCES
A. I. Rudskoi and A. A. Popovich, Functional Gradient Materials and Additive Technologies for Their Fabrication (Politekh-Press, St. Petersburg, 2022).
T. A. Jibowu, “Review on nanoporous metals,” Frontiers Nanosci. Nanotech. 2 (4), 165–168 (2016).
C. Basgul, T. Yu, D. W. MacDonald, R. Siskey, M. Marcolongo, and S. M. Kurtz, “Does annealing improve the interlayer adhesion and structural integrity of FFF 3D printed PEEK lumbar spinal cages?” J. Mech. Behavior Biomed. Mater. 102, 103455 (2020).
J. Li, X. Cui, G. J. Hooper, K. S. Lim, and T. B. F. Woodfield, “Rational design, biofunctionalization, and biological performance of hybrid additive manufactured titanium implants for orthopedic applications: a review,” J. Mech. Behavior Biomed. Mater. 105, 103671 (2020).
S. D. Luo, B. Liu, J. Tian, and M. Qian, “Sintering of titanium in argon and vacuum: pore evolution and mechanical properties,” Int. J. Refractory Metals Hard Mater. 90, 105226 (2020).
A. B. Kale, B.-K. Kim, D.-I. Kim, E. G. Castle, M. Reece, and Sh.-H. Choi, “An investigation of the corrosion behavior of 316L stainless steel fabricated by SLM and SPS techniques,” Mater. Charact. 163, 110204 (2020).
A. Bandyopadhyay, F. Espana, V. K. Balla, S. Bose, Y. Ohgami, and N. M. Davies, “Influence of porosity on mechanical properties and in vivo response of Ti6Al4V implants,” Acta Biomater. 6 (4), 1640–1648 (2010).
M. S. Egorov, M. S. Krasilo, and M. Yu. Dedov, “Mechanical properties of sintered materials. The influence of porosity on the plasticity of powder alloys,” Fundament. Osnovy Mekhan., No. 3, 143–149 (2018).
O. V. Puchka and S. S. Vaisera, “To the problem of enhancing strength of porous materials,” in Science Intensive Technologies and Innovations: Proceedings of International Scientific Practical Conference (BelGTU, Belgorod, 2016), pp. 332–337.
D. Bajare, J. Kazjonovs, and A. Korjakins, “Lightweight concrete with aggregates made by using industrial waste,” J. Sustain. Arch. Civil Eng. 4 (5), 67–73 (2013).
A. Pavlenko, H. Koshlak, A. Cheilytko, and M. Nosov, “Study of the formation of gas-vapor in the liquid mixture,” East.-Europ. J. Enterpr. Technol. 4(5 (82)), 58–65 (2016).
T. Ronneberg, C. M. Davies, and P. A. Hooper, “Revealing relationships between porosity, microstructure, and mechanical properties of laser powder bed fusion 316L stainless steel through heat treatment,” Mater. Design 189, 108481 (2020).
O. Lopez-Pamies, P. P. Castaneda, and M. I. Idiart, “Effects of internal pore pressure on closed-cell elastomeric foams,” Int. J. Solids Struct. 49 (19–20), 2793–2798 (2012).
J. Aboudi, S. Arnold, and B. Bednarcyk, Micromechanics of Composite Materials: A Generalized Multiscale Analysis Approach (Elsevier, 2012).
E. M. Morozov and M. I. Alymov, “Breaking pressure in microdefects of consolidated materials,” Dokl. Ross. Akad. Nauk. Khim. Nauki Mater. 501 (1), 56–58 (2021).
L. D. Landau and E. M. Lifshits, Theory of Elasticity (Nauka, Moscow, 1987).
A. V. Bobylev, Mechanical and Technological Properties of Metals (Metallurgiya, Moscow, 1987).
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This work was supported by the Russian Science Foundation, project no. 22-19-00126.
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Translated by E. Yablonskaya
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Alymov, M.I., Averin, S.I. & Petrov, E.V. Method for Estimating the Internal Gas Pressure in the Pores of a Model Spherical Sample. Russ. Metall. 2023, 522–525 (2023). https://doi.org/10.1134/S0036029523040043
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DOI: https://doi.org/10.1134/S0036029523040043