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FROM:
J. Awrejcewicz (1), A.V. Krysko (2,3), E.Yu. Krylova (4), T.Y. Yaroshenko (5), M.V. Zhigalov (5) and V.A. Krysko (5)
(1) Department of Automation, Biomechanics and Mechatronics, Lodz University of Technology, 1/15 Stefanowskiego St., 90-924 Lodz, Poland
(2) Department of Applied Mathematics and Systems Analysis, Saratov State Technical University, 410054 Saratov, Politehnicheskaya 77, Russian Federation
(3) Cybernetic Institute, National Research Tomsk Polytechnic University, 634050 Tomsk, Lenin Avenue, 30, Russian Federation
(4) Department of Mathematical and Computer Modelling, Saratov State University, 43 Astrachanskay Str., 410054 Saratov, Russian Federation
(5) Department of Mathematics and Modelling, Saratov State Technical University, 77 Politehnicheskaya Str., 410054 Saratov, Russian Federation
“Analysis of flexible elastic–plastic plates/shells behaviour under coupled mechanical/thermal fields and one-sided corrosion wear”, International Journal of Non-Linear Mechanics, Vol. 118, Article 103302, January 2020, https://doi.org/10.1016/j.ijnonlinmec.2019.103302
ABSTRACT: Mathematical models of a non-linear shallow shell subjected to mechanical and temperature fields and one-sided corrosion wear are proposed. The governing equations are yielded by Hamilton’s principle. The geometric and physical non-linearity follow the Föppl–Kármán approximation and the plastic deformation theory, respectively. Dolinskii and Gutman corrosion models as well as the Duhamel–Neumann model are implemented. The governing mixed-type PDEs are derived. The algorithm to solve the PDEs is based on the method of variational iterations (MVI) and linearization. Convergence of the developed procedure is proved. Theoretical considerations are validated by numerical results.
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