Skip to main content
Log in

The Stress–Strain State of Geometrically and Physically Nonlinear Plates with One-Sided Corrosive Wear

  • Published:
International Applied Mechanics Aims and scope

Abstract

A technique is proposed to investigate one-sided corrosive wear. The problem is solved with regard for geometric and physical nonlinearity. Two, Dolinskii's and Gutman's corrosion models are considered. The quasistatic problem is solved by the method of variational iterations, which reduce ordinary differential equations to a system of nonlinear equations with approximation o(h 2) to be solved by Newton's method. At each step, to allow for physical nonlinearity, the method of variable elastic parameters is used. Also a technique is developed to consider various boundary conditions and σi(e i) diagrams. Specific numerical results are presented.

This is a preview of subscription content, log in via an institution to check access.

Access this article

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Similar content being viewed by others

REFERENCES

  1. I. A. Birger, “Some general methods for solution of plastic problems,” Prikl. Mat. Mekh., 15, No. 6, 765–770 (1951).

    Google Scholar 

  2. É. M. Gutman, Strength of Gas Pipes under Corrosive Attack [in Russian], Nedra, Moscow (1984).

    Google Scholar 

  3. V. M. Dolinskii and V. A. Sarotenko, “Design of rigid heat exchangers subject to corrosion,” Khim. Mashinostr., No. 11, 46–50 (1970).

    Google Scholar 

  4. V. A. Krys'ko, Nonlinear Statics and Dynamics of Plates and Shells [in Russian], Izd. Saratovskogo Gos. Univ., Saratov (1976).

    Google Scholar 

  5. I. G. Ovchinnikov, “Applicability of one corrosion model to the durability analysis of structural elements,” in: Serviceability of Materials and Structural Elements after a Corrosive Attack (Collection of Papers) [in Russian], Izd.Saratovskogo Politekhn. Inst., Saratov (1986), pp. 8–10.

    Google Scholar 

  6. S. A. Umanskii, “On the convergence of the method of variable elastic parameters,” Prikl. Mat. Mekh., 44, No. 3, 577–584 (1980).

    Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Rights and permissions

Reprints and permissions

About this article

Cite this article

Krys'ko, V.A., Yaroshenko, T.Y. The Stress–Strain State of Geometrically and Physically Nonlinear Plates with One-Sided Corrosive Wear. International Applied Mechanics 38, 329–334 (2002). https://doi.org/10.1023/A:1016034228430

Download citation

  • Issue Date:

  • DOI: https://doi.org/10.1023/A:1016034228430

Keywords

Navigation