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Philadelphia, USA |
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* Scientific Article * Impact Factor 6.630 |
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Ivanychev, D. A., & Levina, L. V.
Investigation of the thermoelastic state of anisotropic bodies of rotation. |
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Full Article: PDF
Scientific Object Identifier: http://s-o-i.org/1.1/TAS-12-92-31
DOI: https://dx.doi.org/10.15863/TAS.2020.12.92.31
Language: English
Citation: Ivanychev, D. A., & Levina, L. V. (2020). Investigation of the thermoelastic state of anisotropic bodies of rotation. ISJ Theoretical & Applied Science, 12 (92), 162-169. Soi: http://s-o-i.org/1.1/TAS-12-92-31 Doi: https://dx.doi.org/10.15863/TAS.2020.12.92.31 |
Pages: 162-169
Published: 30.12.2020
Abstract: The paper presents a method for determining the stress-strain state of transversely isotropic bodies of revolution located in a stationary axisymmetric field of steady temperatures. The border of the body is free from effort and pinching. The problem is solved by the reverse method. The concept of the space of internal states is formulated and the scalar product is introduced in this space. Its orthonormalization is carried out and the desired state is a Fourier series in the elements of the orthonormal basis. The problem is reduced to determining the coefficients of these series. A rigorous solution of the test problem of thermoelasticity for a circular cylinder and an approximate solution of the problem for a body in the form of a stepped cylinder are presented. The resulting fields of characteristics of the stress-strain state are shown graphically. Analysis of the results is done.
Key words: stress-strain state, reverse method, analysis.
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