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

被引：9

作者：

Awrejcewicz, J. ^{[1
]}

Krysko, A. V. ^{[2
,3
]}

Krylova, E. Yu. ^{[4
]}

Yaroshenko, T. Y. ^{[5
]}

Zhigalov, M. V. ^{[5
]}

Krysko, V. A. ^{[5
]}

机构：

[1] Lodz Univ Technol, Dept Automat Biomech & Mechatron, 1-15 Stefanowskiego St, PL-90924 Lodz, Poland

[2] Saratov State Tech Univ, Dept Appl Math & Syst Anal, Politehn Skaya 77, Saratov 410054, Russia

[3] Natl Res Tomsk Polytech Univ, Cybernet Inst, Lenin Ave 30, Tomsk 634050, Russia

[4] Saratov NG Chernyshevskii State Univ, Dept Math & Comp Modelling, 43 Astrachanskay Str, Saratov 410054, Russia

[5] Saratov State Tech Univ, Dept Math & Modelling, 77 Politehn Skaya Str, Saratov 410054, Russia

来源：

INTERNATIONAL JOURNAL OF NON-LINEAR MECHANICS | 2020年 / 118卷

基金：

俄罗斯科学基金会;

关键词：

Plates and shells; Vibration; Non-linearity; Temperature; NONLINEAR VIBRATIONS; CONTACT INTERACTION; CYLINDRICAL-SHELLS; RECTANGULAR-PLATES; STABILITY LOSS; PRESSURE; ACCOUNT; STEEL; PIPES; MODEL;

D O I：

10.1016/j.ijnonlinmec.2019.103302

中图分类号：

O3 [力学];

学科分类号：

08 ; 0801 ;

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.

引用

页数：14

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