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

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 desc...

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Bibliographic Details
Published in:Journal of mathematical sciences (New York, N.Y.) N.Y.), 2023-07, Vol.273 (6), p.982-998
Main Authors: Hachkevych, O. R., Matyash, I. Ye, Minaylova, I. A., Mishchuk, O. M., Serdega, B. K., Terlets’kyi, R. F., Brukhal’, M. B.
Format: Article
Language:English
Subjects:
Analysis
Mathematical analysis
Mathematical models
Mathematics
Mathematics and Statistics
Modulation
Parallelepipeds
Physical properties
Polarimetry
Radiation
Thermal radiation
Thermodynamics
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Summary: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.
ISSN:1072-3374
1573-8795
DOI:10.1007/s10958-023-06559-y