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Some Issues of the Theory of Multilayer Thin Bodies (in press)статья
- Авторы: Nikabadze Mikhail, Ulukhanyan Armine
- Сборник: Mathematical Applications in Continuum and Structural Mechanics
- Глава в коллективной монографии
- Год издания: 2021
- Место издания: Springer Nature Switzerland AG
- Аннотация: We shall construct the micropolar theory of multilayer thin bodies with the use of the systemsof orthogonal polynomials. Note that any problem of the thin body theory can be considered (solved) in a three-dimensional statement, which is more precise as compared with the twodimensional one. However, it is not always possible to implement this approach in practice because of a high complexity of solving three-dimensional problems and a large variety of statements of problems being practically necessary. In connection with what was said above and with a wide use of thin bodies (one-, two, three-, and multilayer constructions), there arises a necessity to create new refined thin body theories within the framework of the classictheory, as well as the micropolar theory and improved methods for their calculation. Therefore,the construction of refined thin body theories and development of efficient methods for theircomputation are important and urgent problems.Note that the analytic method with the use of the orthogonal polynomial systems (Legendre and Chebyshev) in constructing the one-layer [1–7] and multilayer [8–10] thin body theory was also applied by other authors. In this direction the author had published the papers [11–17] and others with the application of Legendre and Chebyshev polynomial systems. These expansions can be successfully used in constructing any thin body theory. Despite this,the classic theories constructed by this method are far to be complete, and the more so, the micropolar theories and theories of other reology are.
- Добавил в систему: Никабадзе Михаил Ушангиевич