Abstract:
Analytical solutions using various hypotheses are obtained for the problem of buckling of an annular circular plate of a shape memory alloy in the forward or reverse thermoelastic phase transformations under uniform radial compression. It is established that, despite the axial symmetry of the body geometry, loads, and boundary conditions, the minimum critical loads for annular plates correspond to nonaxisymmetric buckling modes, in contrast to continuous plates.
Keywords:
shape memory, resistance, ring plate, forward transformation, reverse transformation.
Citation:
A. A. Movchan, I. A. Movchan, L. G. Sil'chenko, “Stability of an annular plate of a shape memory alloy”, Prikl. Mekh. Tekh. Fiz., 52:2 (2011), 144–155; J. Appl. Mech. Tech. Phys., 52:2 (2011), 279–287
\Bibitem{MovMovSil11}
\by A.~A.~Movchan, I.~A.~Movchan, L.~G.~Sil'chenko
\paper Stability of an annular plate of a shape memory alloy
\jour Prikl. Mekh. Tekh. Fiz.
\yr 2011
\vol 52
\issue 2
\pages 144--155
\mathnet{http://mi.mathnet.ru/pmtf1470}
\elib{https://elibrary.ru/item.asp?id=16227889}
\transl
\jour J. Appl. Mech. Tech. Phys.
\yr 2011
\vol 52
\issue 2
\pages 279--287
\crossref{https://doi.org/10.1134/S0021894411020167}
Linking options:
https://www.mathnet.ru/eng/pmtf1470
https://www.mathnet.ru/eng/pmtf/v52/i2/p144
This publication is cited in the following 4 articles:
Sergey I. Zhavoronok, “ON THE INCREMENTAL CONSTITUTIVE RELATIONS AND COMPATIBILITY EQUATIONS FOR THIN SHAPE MEMORY ALLOY SHELLS UNDERGOING NON-ISOTHERMAL PHASE TRANSITIONS”, Comp Mech Comput Appl Int J, 14:1 (2023), 1
S. A. Dumanskii, A. A. Movchan, “Loss of Stability of a Rod from a Shape-Memory Alloy Caused by Reverse Martensitic Transformation”, Mech. Solids, 54:6 (2019), 929
Dmitry V. Nushtaev, Sergey I. Zhavoronok, Advanced Structured Materials, 110, Recent Developments in the Theory of Shells, 2019, 493
L. G. Sil'chenko, À.À. Movchan, Ò. L. Sil'chenko, “Stability of a Cylindrical Shell Made of a Shape-Memory Alloy”, Int Appl Mech, 50:2 (2014), 171