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JOURNALS // Journal of Samara State Technical University, Ser. Physical and Mathematical Sciences // Archive

Vestn. Samar. Gos. Tekhn. Univ., Ser. Fiz.-Mat. Nauki [J. Samara State Tech. Univ., Ser. Phys. Math. Sci.], 2009 Issue 2(19), Pages 53–71 (Mi vsgtu680)

This article is cited in 5 papers

Mechanics of Solids

Application of methods of the theory of perturbations in flat problem of equally-stressed reinforcing of metal-composite plates at steady creep

A. P. Yankovskii

Physics of Fast Process Laboratory, Khristianovich Institute of Theoretical and Applied Mechanics, Siberian Branch of the Russian Academy of Sciences, Novosibirsk

Abstract: The problem of equally-stressed reinforcings of the plates loaded in their plane and working in condition of steady creep is solved by methods of the theory of perturbations. The possibility of existence of several alternative solutions of the problem under consideration is demonstrated which can be selected reliably, using the algorithm developed. Explicit projects of equally-stressed reinforcings of a doubly-connected plate are constructed at different types of its load.

Keywords: plates, steady creep, rational projection, equal-stress reinforcing, small parameter, perturbations theory.

UDC: 539.376

MSC: 74K20, 74R20

Original article submitted 27/II/2009
revision submitted – 16/VIII/2009

DOI: 10.14498/vsgtu680



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