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Loss of Stability of a Rod from a Shape-Memory Alloy Caused by Reverse Martensitic Transformation

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Abstract

In various formulations (unbound, coupled, and double-coupled) within the framework of the concepts of “Fixed load” and “Variable load”, analytical solutions to the problem of the loss of stability of a pivotally fixed rod made of an alloy with a shape memory, the material of which undergoes inverse thermoelastic phase transformation under the action of constant compression loads in the presence of initial phase — structural compression strains. The formulation of the concept of “Variable load” is justified, within which the solution for the critical length does not depend on the magnitude of the perturbations.

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Acknowledgements

This work was carried out within the framework of the state budget topic, state registration number AAAA-A17-117032010136-3 with partial financial support from the RFBR (grant No. 17-01-00216_a).

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  1. Institute of Applied Mechanics of the Russian Academy of Sciences, Leningradskii pr. 7, Moscow, 125040, Russia

    S. A. Dumanskii & A. A. Movchan

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  1. S. A. Dumanskii
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Correspondence to A. A. Movchan.

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Russian Text © The Author(s), 2019, published in Izvestiya Akademii Nauk, Mekhanika Tverdogo Tela, 2019, No. 4, pp. 94–108.

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Dumanskii, S.A., Movchan, A.A. Loss of Stability of a Rod from a Shape-Memory Alloy Caused by Reverse Martensitic Transformation. Mech. Solids 54, 929–940 (2019). https://doi.org/10.3103/S0025654419060086

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