Mathematical model and solution of spatial contact problem for prestressed cylindrical punch and elastic layer
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Дата
2022-05
Автори
Yaretska, Nataliia Oleksandrivna
Назва журналу
Номер ISSN
Назва тому
Видавець
“Baltija Publishing”
Анотація
Mathematical modeling and research of problems of contact interaction of pre-stressed solids is quite relevant in our time. Confirmation of this, is the speech titled "On the implementation of the target program of scientific research of the NAS of Ukraine" Reliability and durability of materials, constructions, equipment and structures"" by Leonid Lobanov, the Academician of the NAS of Ukraine which took place on December 09, 2020. Considering this fact, it is important to solve the problems of contact interaction of deformed solids dealt with load transfer in constructions, structures and parts of machines, which related with the presence of initial stresses in solids according to the law of division of contact stresses and displacements.
Therefore, this article offers the mathematical model and the solution of the contact problem about the pressure of the pre-stressed cylindrical punch to the elastic layer with initial stresses. The study of the problem carried out within the linearized theory of elasticity [2, 3] without taking into account the forces of friction.
Опис
https://doi.org/10.30525/978-9934-26-200-5-10, http://baltijapublishing.lv/omp/index.php/bp/catalog/book/213
Ключові слова
mathematical modeling, pre-stressed solids
Бібліографічний опис
Yaretska N. O. Mathematical model and solution of spatial contact problem for prestressed cylindrical punch and elastic layer / N. O.Yaretska // Innovative paradigm of the development of modern physical-mathematical sciences : Collective monograph. – Riga, Latvia : “Baltija Publishing”, 2022. – Р. 261-295.