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Postbuckling Behavior of Compressed Rods in an Elastic Medium

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Abstract

The postbuckling of rods loaded by a compressive force P in an elastic medium is considered. The resolving nonlinear equation is obtained, and a method for solving this equation is given. It is shown that, for large lengths, in contrast to the case without elastic medium, the deflection increases as the force P decreases after the loss of stability. Several simple finite-element models, namely, the problems of compression of multilink rods with links connected by springs, are considered to confirm this effect.

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Correspondence to R. A. Kayumov.

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Original Russian Text © R.A. Kayumov, 2017, published in Izvestiya Akademii Nauk, Mekhanika Tverdogo Tela, 2017, No. 5, pp. 122–129.

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Kayumov, R.A. Postbuckling Behavior of Compressed Rods in an Elastic Medium. Mech. Solids 52, 575–580 (2017). https://doi.org/10.3103/S0025654417050120

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