On the influence of a non-classical diffusion process on the long-term fracture of a composite tensile rod during creep

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The stress-strain state is considered and the time to fracture of a composite tensile rod during creep in an active medium is determined. The influence of the active medium is determined by a non-classical diffusion process, with the active substance penetrating into the material in two states: free and bound. The process of such diffusion is described by a modified diffusion equation that takes into account the two-phase state of the active substance in the material. A system of equations has been obtained that models the creep of a composite rod, in which its parts are rigidly connected to each other without slipping, and also includes kinetic equations for the accumulation of damage in parts of the rod. The influence of the active medium is taken into account by introducing into the indicated kinetic equations the function of the influence of the active medium - a function of the integral average concentration. Stress distributions and damage accumulation processes over time in various parts of the composite rod are analyzed. Calculations were carried out in two cases, namely, classical and non-classical diffusion processes are considered. The setting of these differences is determined by the choice of appropriate parameters in the diffusion model under consideration. Dependences of damage accumulation and stress distribution in parts of the rod over time were obtained. As a result, it was determined that the destruction of a composite rod in the classical case occurs earlier than in the case of the considered non-classical diffusion process.

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Sobre autores

L. Fomin

Research Institute of mechanics of Lomonosov Moscow State University

Autor responsável pela correspondência
Email: fleonid1975@mail.ru
Rússia, Moscow

A. Dalinkevich

Research Institute of mechanics of Lomonosov Moscow State University; Frumkin Institute of Physical Chemistry and Electrochemistry, Russian Academy of Sciences

Email: dalinckevich@yandex.ru
Rússia, Moscow; Moscow

Yu. Basalov

Research Institute of mechanics of Lomonosov Moscow State University

Email: basalov@yandex.ru
Rússia, Moscow

Bibliografia

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  3. Alexander Lokoshchenko and Leonid Fomin. Kinetic Theory of Creep and Long-Term Strength of Metals, in Kinetic Theory, George Z. Kyzas and Athanasios C. Mitropoulos, IntechOpen, (December 20th 2017). https://doi.org/10.5772/intechopen.70768.
  4. Fomin L.V., Basalov Yu.G. On the long-term fracture of a composite tensile rod under creep conditions // Bulletin of the Russian Academy of Sciences. Mechanics of Solids. 2023, No. 1. P. 28–40. (in Russian)
  5. Lokoshchenko A.M., Fomin L.V. Delayed fracture of plates under creep condition in unsteady complex stress state in the presence of aggressive medium // Applied Mathematical Modelling. 2018. Vol. 60. P. 478−489. https://doi.org/10.1016/j.apm.2018.03.031.
  6. Weinberg A.M., Wigner E.P. The physical theory of neutron chain reactors, Chapter VIII, The University of Chicago Press. 1958.
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  10. Lavrentiev M.A., Shabat B.V. Methods of the Theory of Functions of a Complex Variable. Moscow: Main Editorial Board of Physical and Mathematical Literature, Nauka Publishing House, 1973, 736 p. (in Russian)
  11. Fomin L.V. Description of the Long-Term Strength of Tensile Rods of Rectangular and Circular Cross-Sections in a High-Temperature Air Medium // Bulletin of the Samara State Tech. University. Series: Phys. and Mathematics. Sciences. 2013. No. 3 (32). P. 87–97. (in Russian) https://doi.org/10.14498/vsgtu1228
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2. Fig. 1. Schematic of the arrangement of parts in the rod.

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3. Fig. 2. Schematic of the impact of the active medium on the composite rod.

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4. Fig. 3. Dependences of dimensionless stresses on dimensionless time in parts of the composite rod when taking into account non-classical (designations: 1, 2) and classical (designations: 3, 4) diffusion processes.

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5. Fig. 4. Dependences of damage parameters on dimensionless time in parts of the composite rod when taking into account non-classical (designations: 1, 2) diffusion process.

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6. Fig. 5. Dependences of damage parameters on dimensionless time in parts of the composite rod when taking into account the classical (designations: 3, 4) diffusion process.

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7. Fig. 5. Dependences of damage parameters on dimensionless time in parts of the composite rod when taking into account the classical (designations: 3, 4) diffusion process. Fig. 6. Dependences of integral mean concentration on dimensionless time in parts of the composite rod when taking into account non-classical (designations: I) and classical (designations: II) diffusion processes.

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