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Regarding some thermoelastic models of “coating-substrate” system deformation

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Abstract

In present research, we investigate dynamic coupled thermoelasticity problem for a “coating-substrate” system. We present a number of models of thermoelastic deformation of the “coating-substrate” system with thermomechanical characteristics which may vary both continuously and discontinuously. To solve these problems, we use the variational principle of coupled thermoelasticity in the Laplace transforms space and hypotheses on a distribution of temperature and displacements transforms. The transforms inversion is realized according to the Durbin method. The calculations were carried out based on both proposed simplified models and FEM.

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Funding

Funding was provided by Russian Science Foundation (Grant No. 18-11-00069).

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Authors and Affiliations

  1. Institute of Mathematics, Mechanics and Computer Sciences named after I.I. Vorovich, Southern Federal University, 8-a Milchakova Str, Rostov-on-Don, Russia, 344090

    Alexander Vatulyan & Rostislav Nedin

  2. Southern Mathematical Institute, Vladikavkaz Scientific Center of Russian Academy of Sciences, 22, Str. Markusa, Vladikavkaz, Russia, 362027

    Sergey Nesterov

Authors
  1. Alexander Vatulyan
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  2. Sergey Nesterov
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  3. Rostislav Nedin
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Correspondence to Rostislav Nedin.

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Communicated by Andreas Öchsner.

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This work was supported by the Grant of the Russian Science Foundation (project No. 18-11-00069).

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Vatulyan, A., Nesterov, S. & Nedin, R. Regarding some thermoelastic models of “coating-substrate” system deformation. Continuum Mech. Thermodyn. 32, 1173–1186 (2020). https://doi.org/10.1007/s00161-019-00824-9

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