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A Journal of Russian Academy of Sciences
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IssuesArchive of Issues2019-6pp.929-940

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S.A. Dumanskii and A.A. Movchan, "Loss of Stability of a Rod from a Shape-Memory Alloy Caused by Reverse Martensitic Transformation," Mech. Solids. 54 (6), 929-940 (2019)
Year 2019 Volume 54 Number 6 Pages 929-940
DOI 10.3103/S0025654419060086
Title Loss of Stability of a Rod from a Shape-Memory Alloy Caused by Reverse Martensitic Transformation
Author(s) S.A. Dumanskii (Institute of Applied Mechanics of the Russian Academy of Sciences, Leningradskii pr. 7, Moscow, 125040 Russia)
A.A. Movchan (Institute of Applied Mechanics of the Russian Academy of Sciences, Leningradskii pr. 7, Moscow, 125040 Russia, movchan47@mail.ru)
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.
Keywords shape-memory alloys, stability, rod, reverse transformation, coupled formulation
Received 25 September 2018
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