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Nonlinear Thermal Elastic Diffusion Problems Applicable to Surface Modification

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Advanced Problem in Mechanics II (APM 2020)

Part of the book series: Lecture Notes in Mechanical Engineering ((LNME))

Abstract

This is a brief historical excursion into the development of the theory of thermoelastic diffusion. The difference between classical and generalized theories is noted. The method of derivation of constitutive relations on the basis of thermodynamics of irreversible processes leading to nonlinear theory is presented. Examples of application of nonlinear theory to modeling of interaction of diffusion, thermal and mechanical waves under ion implantation conditions are presented. The simplest isothermal task; the task for non-isothermal conditions as well as the task on interaction with the surface of the combined particle beam are analyzed. All tasks are formulated in the approximation of uniaxial loading.

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Acknowledgements

The work was performed according to the Government research assignment for ISPMS SB RAS, project FWRW-2022-0003.

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  1. Institute of Strength Physics and Materials Science, pr. Academicheskii, 2/4, Tomsk, 634055, Russia

    A. G. Knyazeva & E. S. Parfenova

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  1. A. G. Knyazeva
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  1. IPME RAS, Peter the Great St. Petersburg Polytechnic University, St. Petersburg, Russia

    D. A. Indeitsev

  2. IPME RAS, Peter the Great St. Petersburg Polytechnic University, St. Petersburg, Russia

    A. M. Krivtsov

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Knyazeva, A.G., Parfenova, E.S. (2022). Nonlinear Thermal Elastic Diffusion Problems Applicable to Surface Modification. In: Indeitsev, D.A., Krivtsov, A.M. (eds) Advanced Problem in Mechanics II. APM 2020. Lecture Notes in Mechanical Engineering. Springer, Cham. https://doi.org/10.1007/978-3-030-92144-6_10

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  • DOI: https://doi.org/10.1007/978-3-030-92144-6_10

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