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

J. Awrejcewicz, A. V. Krysko, E. Yu Krylova, T. Y. Yaroshenko, M. V. Zhigalov, V. A. Krysko

Research output: Contribution to journalArticle

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.

Original languageEnglish
Article number103302
JournalInternational Journal of Non-Linear Mechanics
Volume118
DOIs
Publication statusPublished - Jan 2020

Keywords

  • Non-linearity
  • Plates and shells
  • Temperature
  • Vibration

ASJC Scopus subject areas

  • Mechanics of Materials
  • Mechanical Engineering
  • Applied Mathematics

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