Analysis of flexible elastic-plastic plates/shells behaviour under coupled mechanical/thermal fields and one-sided corrosion wear

摘要

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 Foppl-Karman 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.