# Mathematical modelling, determination and analysis of the thermostressed state in a thermosensitive three-layer hollow cylinder subjected to the convective-radiative heating

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Abstract:

The stationary temperature distribution in a three-layer infinitely-long hollow cylinder is modeled and determined under the condition that the internal heat sources are distributed within the second layer in accordance to the parabolic law and the convective-radiative and convective heat exchange with the environment occurs on the inner and outer surfaces, respectively. The components of the thermostressed state were found and the effect, caused by the dependence of thermophysical and mechanical material properties on the temperature, along with the intensity of radiative heat exchange, in the distribution of the temperature and stress-strain state is analyzed.

References:

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Bibliography:

Math. Model. Comput. Vol.2, No.2, pp.160-175 (2015)