Laboratory of Mechanics of Technological Processes. Details
See also Laboratory general information
Main achievements
 New models have been developed that describe the mechanical properties of crystals, nano/microtubes made of them and layered composites using the theory of elasticity of an anisotropic body. The features of the mechanical behavior of materials with negative Poisson's ratio (auxetics) have been revealed. Models and designs of medical stents with auxetic properties have been developed (in cooperation with the laboratory of laser discharges).
Auxetic stent
 In application to the technology for the production of verylargescale integration circuit (VLSI) using the dislocationfree silicon single crystals of large diameters (200–300 mm), the mechanicalmathematical models, algorithms and a program code have been developed to describe heat and mass transfer processes in the melt and the grown crystal, the formation of growth defects, and also to optimize the designs of hot zones of growth equipment and the conditions for growing single crystals, providing the required content reduction and sizes of technological defects. The technological innovations have provided Czochralski process optimization of growing silicon single crystals from a melt by means of the special designs of the heat shield for the domestic heavycharge furnace "Redmet90M".
The optimized hot zone design of the furnace "Redmet90M" for growing largediameter silicon crystals was proposed on the basis of mathematical modeling
General information
The laboratory of mechanics of technological processes was established in January 2018. The main staff of the laboratory consisted of employees of the laboratory of Mechanics of strength and fracture of materials and structures, which was headed by corresponding member RAS R.V. Goldstein for a long time. The head of the laboratory of mechanics of technological processes was D.S. Lisovenko.
Awards
 A.I. Prostomolotov – Award of Lenin Komsomol Prize in Science, 1986.
 D.S. Lisovenko, A.V. Chentsov – Medal of the Russian Academy of Sciences with awards for young scientists of the Russian Academy of Sciences, other Institutions, Organizations of Russia and for students of Institute of Higher Education of Russia, 2010.
 D.S. Lisovenko, A.V. Chentsov – Moscow Government Award for young scientists in the category of mathematics, mechanics and informatics, 2014.
Main publications
Books
 Goldstein R.V., Gorodtsov V.A. Continuum mechanics. Part 1. Fundamentals and classical fluid models. Moscow, Nauka. Fizmatlit, 2000. ISBN 5020155551 [in Russian]
 Gorodtsov V.A. Sofya Kovalevskaya, Paul Painleve and the integrability of nonlinear equations of continuous media. Moscow, Fizmatlit, 2003. ISBN 5940520537 [in Russian]
 S. Lychev, K. Koifman. Geometry of Incompatible Deformations: Differential Geometry in Continuum Mechanics. De Gruyter, 2019. xx+388 p. ISBN 9783110562019, doi: 10.1515/9783110563214
 S. Alexandrov. Singular Solutions in Plasticity.
Springer, 2018, xi+107 p. ISBN 9789811052262 (Print), 9789811052279 (Online), doi: 10.1007/9789811052279
 Polezhaev V.I., Bune A.V., Verezub N.A., Glushko G.S., Gryaznov V.L., Dubovik K.G., Nikitin S.A., Prostomolotov A.I., Fedoseev A.I., Cherkasov S.G. Mathematical modeling of convective heat and mass transfer based on the NavierStokes equations. Moscow, Nauka, 1987. 270 p. [in Russian]
 Buzanov O.A., Prostomolotov A.I., Verezub N.A. Hydrodynamics of the melt. Lecture course. Moscow, National University of Science and Technology "MISiS". 1997. 81 p. [in Russian]
 Polezhaev V.I., Bello M.S., Verezub N.A., Dubovik K.G., Lebedev A.P., Nikitin S.A., Pavlovsky D.S., Fedyushkin A.I. Convective processes in microgravity. Moscow, Nauka, 1991. 240 p. ISBN 5020067679 [in Russian]
Papers
 Goldstein R.V., Gorodtsov V.A., Lisovenko D.S. Mesomechanics of multiwall carbon nanotubes and nanowhiskers. Physical Mesomechanics. 2009. V. 12. No. 12. P. 3853.
DOI: 10.1016/j.physme.2009.03.005
 Goldstein R.V., Gorodtsov V.A., Lisovenko D.S. Volkov M.A. Negative Poisson's ratio for cubic crystals and nano/microtubes. Physical Mesomechanics. 2014. V. 17. No. 2. P. 97115.
DOI: 10.1134/S1029959914020027
 Goldstein R.V., Gorodtsov V.A., Lisovenko D.S. Rayleigh and Love surface waves in isotropic media with negative Poisson's ratio. Mechanics of Solids. 2014. V. 49. No. 4. P. 422434.
DOI: 10.3103/S0025654414040074
 Goldstein R.V., Gorodtsov V.A., Lisovenko D.S. Poynting's effect of cylindrically anisotropic nano/microtubes. Physical Mesomechanics. 2016. V. 19. No. 3. P. 229238.
DOI: 10.1134/S1029959916030012
 Gorodtsov V.A., Lisovenko D.S. Tension of thin twolayered plates of hexagonal crystals. Composite Structure. 2019. V. 209. P. 453459.
DOI: 10.1016/j.compstruct.2018.10.063
 Prostomolotov A., Verezub N., Mezhennyi M., Resnik V. Thermal optimization of Cz bulk growth and wafer annealing for crystalline dislocationfree silicon // J. Crystal Growth. 2011. V. 318. P. 187192.
DOI: 10.1016/j.jcrysgro.2010.11.080
 Berdnikov V.S., Prostomolotov A.I., Verezub N.A. The phenomenon of "cold plume" instability in Czochralski hydrodynamic model: Physical and numerical simulation. J. Crystal Growth. 2014. V. 401. P. 106110.
DOI: 10.1016/j.jcrysgro.2013.12.055
 Prostomolotov A.I., Verezub N.A., Voloshin A.E., Nishinaga T. Simulation of GaSb:Te crystal growth in space experiment. Procedia IUTAM. 2017. V. 23. P. 4251.
DOI: 10.1016/j.piutam.2017.06.004
Experimental equipment
 The setup "TH2" ("Technological Hydromechanics2") for physical modeling of thermomechanical processes in application to Czochralski crystal growth has been produced in 1992–1996 by the manufacturing of IPMech RAS. This setup has highprecision, lowinertia rotation and linear displacement drives, high axial symmetry of the crystal and crucible simulators, and a reliable temperature control system for working surfaces. In the course of its application in the following years, the TH2 setup was permanently modernized and equipped with the modern measuring and data processing facilities during IPMech RAS programs and RFBR grants.
"TH2" setup for simulation of thermomechanical processes during Czochralski crystal growth.
 The setup "TH3" ("Technological Hydromechanics3") for studying the features of thermomechanical processes during Czochralski crystal growth has been produced in 2017–2019 in the framework of the RFBR grant 170800078a. The modeling materials with a low melting point (up to 380°C) were grown under ordinary atmospheric conditions on this "TH3" setup. For these researches a sodium nitrate was used, the melt of which is transparent. This has been provided the possibilities of temperature measurements and also visualitions of convective flows in a melt.
Tabletop setup for Czochralski crystal growth "TH3" (a) and the sodium nitrate crystal growth in "TH3" (b).
