Abstract:
Conditions of satisfying the dissipative inequality are found for the case where the Gibbs potential of a shape memory alloy (SMA) is assumed to be additive. The effective specific heat of the SMA is obtained as a function of temperature, strain, and strain rate in direct and reverse thermoelastic martensite transformations. A coupled one-dimensional problem of direct and reverse transformations in an SMA rod is solved.
Citation:
A. A. Movchan, Nyunt Soe, “Thermodynamic description of the behavior of shape memory alloys by an additive Gibbs potential”, Prikl. Mekh. Tekh. Fiz., 47:4 (2006), 98–103; J. Appl. Mech. Tech. Phys., 47:4 (2006), 542–546
\Bibitem{MovNyu06}
\by A.~A.~Movchan, Nyunt Soe
\paper Thermodynamic description of the behavior of shape memory alloys by an additive Gibbs potential
\jour Prikl. Mekh. Tekh. Fiz.
\yr 2006
\vol 47
\issue 4
\pages 98--103
\mathnet{http://mi.mathnet.ru/pmtf2173}
\elib{https://elibrary.ru/item.asp?id=16515906}
\transl
\jour J. Appl. Mech. Tech. Phys.
\yr 2006
\vol 47
\issue 4
\pages 542--546
\crossref{https://doi.org/10.1007/s10808-006-0087-z}
Linking options:
https://www.mathnet.ru/eng/pmtf2173
https://www.mathnet.ru/eng/pmtf/v47/i4/p98
This publication is cited in the following 2 articles:
A. A. Movchan, S. A. Kazarina, A. L. Sil'chenko, “Cross Hardening of a Shape Memory Alloy during Compression”, Russ. Metall., 2019:10 (2019), 967
Anatoly A. Rogovoy, “Formalized approach to construction of the state equations for complex media under finite deformations”, Continuum Mech. Thermodyn., 24:2 (2012), 81