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Mathematical Modeling and Polarimetry of the Thermal Stressed State of a Partially Transparent Solid Subjected to the Action of Thermal Radiation

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By using the method of modulation polarimetry and the developed model of thermomechanics of partially transparent solids, we study the kinetics and dynamics of temperature and stresses in a quartz sample in the form of a parallelepiped. The efficiency of the proposed heat-transfer model used to describe the thermal state is experimentally confirmed. In view of the satisfactory agreement between the experimental and computed characteristics of the stress state, we make a conclusion concerning the applicability of the proposed mathematical model and the method of modulation polarimetry in two directions for testing the stress state of materials and the evaluation of their physical constants.

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Authors and Affiliations

  1. Pidstryhach Institute for Applied Problems in Mechanics and Mathematics, National Academy of Sciences of Ukraine, Lviv, Ukraine

    O. R. Hachkevych, R. F. Terlets’kyi & M. B. Brukhal’

  2. V. Lashkar’ov Institute of Semiconductor Physics, National Academy of Sciences of Ukraine, Kyiv, Ukraine

    I. Ye. Matyash, I. A. Minaylova, O. M. Mishchuk & B. K. Serdega

Authors
  1. O. R. Hachkevych
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  2. I. Ye. Matyash
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  3. I. A. Minaylova
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  4. O. M. Mishchuk
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  5. B. K. Serdega
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  6. R. F. Terlets’kyi
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  7. M. B. Brukhal’
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Corresponding author

Correspondence to R. F. Terlets’kyi.

Additional information

Translated from Matematychni Metody ta Fizyko-Mekhanichni Polya, Vol. 63, No. 4, pp. 81–95, October–December, 2020.

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Hachkevych, O.R., Matyash, I.Y., Minaylova, I.A. et al. Mathematical Modeling and Polarimetry of the Thermal Stressed State of a Partially Transparent Solid Subjected to the Action of Thermal Radiation. J Math Sci 273, 982–998 (2023). https://doi.org/10.1007/s10958-023-06559-y

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