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

Результат исследований: Материалы для журналаСтатьярецензирование

Аннотация

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.

Язык оригиналаАнглийский
Номер статьи103302
ЖурналInternational Journal of Non-Linear Mechanics
Том118
DOI
СостояниеОпубликовано - янв 2020

ASJC Scopus subject areas

  • Mechanics of Materials
  • Mechanical Engineering
  • Applied Mathematics

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