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Simulation and investigation of mechanical and concentration fields in near-contact regions of two-component piecewise uniform systems

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Abstract

We suggest a system of equations that describes correlated mechanical, thermal, and diffusion processes in binary solid solutions with account for surface effects within the framework of a three-dimensional approach. Using this system, we investigate near-contact singularities of mechanical and concentration fields in layered systems with flat boundaries. The results obtained can be used in choosing coatings with optimum strength and reliability.

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References

  1. 1.

    Ya. I. Burak, “Determining relations of local gradient thermomechanics,”Dokl. Akad. Nauk Ukr. SSR, Ser. A, No. 12, 19–23 (1987).

  2. 2.

    Ya. I. Burak, O. R. Grytsyna, and T. S. Nahirnyi, “Thermodynamic simulation of surface phenomena in thermomechanics,”Dokl. Akad. Nauk Ukr. SSR, Ser. A, No. 9, 66–70 (1991).

  3. 3.

    Ya. I. Burak, O. R. Grytsyna, and T. S. Nahirnyi, “An approach to the investigation of surface inhomogeneities in the thermomechanics of solid solutions,”Dokl. Akad. Nauk Ukr. SSR, Ser. A, No. 11, 47–51 (1991).

  4. 4.

    A. A. Berezovskii, B. T. Bondarchuk, and S. I. Sidorenko, “Solution of the diffusion problem for a system ofn layers with finite thicknesses,” in:Mathematical Simulation of the Processes of Filtration and Heat and Mass Transport [in Russian] (1978), pp. 130–136.

  5. 5.

    V. A. Shevchuk,Investigation of Mechanodiffusion Processes in Strained Solid Bodies with Piecewise Uniform Structure [in Russian], Author's Abstract Candidate's Thesis (Physics and Mathematics), L'viv (1991).

  6. 6.

    L. I. Sedov,Continuum Mechanics [in Russian], Vol. 1, Nauka, Moscow (1976).

  7. 7.

    P. Glansdorf and I. Prigogine,Thermodynamic Theory of Structure, Stability, and Fluctuations [Russian translation], Mir, Moscow (1973).

  8. 8.

    Ya. I. Burak, B. P. Galapats, and B. M. Gnidets',Physicomechanical Processes in Electrically Conducting Systems [in Ukrainian], Naukova Dumka, Kiev (1978).

  9. 9.

    A. I. Lur'e,Theory of Elasticity [in Russian], Nauka, Moscow (1970).

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Additional information

Pidstrygach Institute of Applied Problems in Mechanics and Mathematics, Ukrainian Academy of Sciences, L'viv. Translated from Fiziko-Khimicheskaya Mekhanika Materialov, Vol. 30, No. 1, pp. 78–88, January–February, 1994.

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Burak, Y.I., Nahirnyi, T.S. & Grytsyna, O.R. Simulation and investigation of mechanical and concentration fields in near-contact regions of two-component piecewise uniform systems. Mater Sci 30, 75–86 (1995). https://doi.org/10.1007/BF00559021

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Keywords

  • Solid Solution
  • Diffusion Process
  • Surface Effect
  • Concentration Field
  • Layered System