Abstract:
A possibility of degeneration of relationships between stresses and their derivatives with respect to the coordinates in the plane problem of the elasticity theory is considered. For particular dependences of the parameters of elasticity on coordinates, curves are given, for which degeneration conditions are satisfied. It is shown that even a small inhomogeneity of the medium causes stress instability.
Keywords:
instability, plane problem of the elasticity theory, inhomogeneous medium.
Citation:
M. N. Kirsanov, “Stress distribution instability in the plane problem of the theory of elasticity of heterogeneous bodies”, Prikl. Mekh. Tekh. Fiz., 54:3 (2013), 166–169; J. Appl. Mech. Tech. Phys., 54:3 (2013), 487–490
\Bibitem{Kir13}
\by M.~N.~Kirsanov
\paper Stress distribution instability in the plane problem of the theory of elasticity of heterogeneous bodies
\jour Prikl. Mekh. Tekh. Fiz.
\yr 2013
\vol 54
\issue 3
\pages 166--169
\mathnet{http://mi.mathnet.ru/pmtf1189}
\elib{https://elibrary.ru/item.asp?id=19413796}
\transl
\jour J. Appl. Mech. Tech. Phys.
\yr 2013
\vol 54
\issue 3
\pages 487--490
\crossref{https://doi.org/10.1134/S002189441303019X}
Linking options:
https://www.mathnet.ru/eng/pmtf1189
https://www.mathnet.ru/eng/pmtf/v54/i3/p166
This publication is cited in the following 1 articles:
Mikhail N. Kirsanov, “The analysis of the degenerate case of oscillations of a mechanical system”, Math Methods in App Sciences, 39:15 (2016), 4545
Citation in format AMSBIB
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