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<p>The method of determining the thermal stress state in a&#xa0;long cylinder with an inhomogeneous multilayer coating in the radial direction under a&#xa0;constant force surface load and a&#xa0;given temperature field is proposed. The corresponding problem of uncoupled thermoelasticity in terms of stresses is reduced by direct integration of the equations of equilibrium and compatibility to a&#xa0;set of integral equations relative to radial stresses and the sum of radial and circular stresses. The approximate analytical solutions to these integral equations were obtained taking into account the thinness of each coating layer. The method is verified by comparison with the results obtained from the exact solutions of the corresponding thermoelasticity problem for the power-law dependence of the thermomechanical characteristics of the coating materials on the radial variable. The method can be applied to determine the thermal stress state of the relatively thick coatings, which consist of a&#xa0;large number of thin layers.</p>

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Determination of thermal stress state of cylindrical bodies with multilayer inhomogeneous coatings

  • 期刊论文

  • 发表日期：

    2025年7月1日

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  • B. M. Kalynyak,
  • V. A. Shevchuk

摘要

The method of determining the thermal stress state in a long cylinder with an inhomogeneous multilayer coating in the radial direction under a constant force surface load and a given temperature field is proposed. The corresponding problem of uncoupled thermoelasticity in terms of stresses is reduced by direct integration of the equations of equilibrium and compatibility to a set of integral equations relative to radial stresses and the sum of radial and circular stresses. The approximate analytical solutions to these integral equations were obtained taking into account the thinness of each coating layer. The method is verified by comparison with the results obtained from the exact solutions of the corresponding thermoelasticity problem for the power-law dependence of the thermomechanical characteristics of the coating materials on the radial variable. The method can be applied to determine the thermal stress state of the relatively thick coatings, which consist of a large number of thin layers.