Mathematically rigorous formulation of contact problems for thin-walled structural elements, numerical and analytical methods, and solution results
https://doi.org/10.26907/2541-7746.2025.4.719-743
Abstract
A mathematically rigorous formulation of contact problems in the theory of plates and shells is justified. An overview of the recently solved static and dynamic problems, their analytical and numerical solutions, is carried out, and the results of the obtained solutions are analyzed. Additionally, examples are provided of such problems where the correct determination of contact stress distribution is fundamentally important.
About the Author
S. A. Kuznetsov
N.I. Lobachevsky Institute of Mathematics and Mechanics, Kazan Federal University
Russian Federation
Russian Federation
Sergej A. Kuznetsov, Cand. Sci. (Physics and Mathematics), Associate Professor, Department of Theoretical Mechanics
References
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Review
For citations:
Kuznetsov S.A. Mathematically rigorous formulation of contact problems for thin-walled structural elements, numerical and analytical methods, and solution results. Uchenye Zapiski Kazanskogo Universiteta. Seriya Fiziko-Matematicheskie Nauki. 2025;167(4):719-743. (In Russ.) https://doi.org/10.26907/2541-7746.2025.4.719-743
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