Journal ArticleDOI
Fine phase mixtures as minimizers of energy
TLDR
In this article, the authors explore a theoretical approach to these fine phase mixtures based on the minimization of free energy and show that the α-phase breaks up into triangular domains called Dauphine twins which become finer and finer in the direction of increasing temperature.Abstract:
Solid-solid phase transformations often lead to certain characteristic microstructural features involving fine mixtures of the phases. In martensitic transformations one such feature is a plane interface which separates one homogeneous phase, austenite, from a very fine mixture of twins of the other phase, martensite. In quartz crystals held in a temperature gradient near the α-β transformation temperature, the α-phase breaks up into triangular domains called Dauphine twins which become finer and finer in the direction of increasing temperature. In this paper we explore a theoretical approach to these fine phase mixtures based on the minimization of free energy.read more
Citations
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Journal ArticleDOI
Branching of twins near an austenite—twinned-martensite interface
Robert V. Kohn,Stefan Müller +1 more
TL;DR: In this article, the role of surface energy in determining twin width near an austenite was studied, and it was shown that there are two distinct regimes, depending on the relative values of the elastic moduli, surface energy density and grain size.
Journal ArticleDOI
A 3-D phenomenological constitutive model for shape memory alloys under multiaxial loadings
Jamal Arghavani,Ferdinando Auricchio,Ferdinando Auricchio,Reza Naghdabadi,Alessandro Reali,Saeed Sohrabpour +5 more
TL;DR: In this article, a phenomenological constitutive model for shape memory alloys is presented, which is based on a scalar and a tensorial internal variable, with the property of completely decoupling the pure reorientation mechanism from the pure transformation mechanism.
Journal ArticleDOI
Thermomechanical Response of Shape Memory Composites
TL;DR: A micromechanics method based on the Mori-Tanaka averaging scheme is used to predict the effective thermomechanical properties of composite materials reinforced by Shape Memory Alloy (SMA) fibers.
Journal ArticleDOI
Thermomechanical modeling of polycrystalline SMAs under cyclic loading, Part I: theoretical derivations
Zhonghe Bo,Dimitris C. Lagoudas +1 more
TL;DR: In this article, a generic Gibbs free energy for polycrystalline Shape Memory Alloys (SMAs) is obtained by forming the increments of both elastic potential energy and Gibbs chemical energy over a Representative Volume Element (RVE) with respect to an infinitesimal increment of martensite.
Journal ArticleDOI
A three-dimensional model of the thermomechanical behavior of shape memory alloys
Wael Zaki,Ziad Moumni +1 more
TL;DR: In this article, a macro-scale model of shape memory alloys is developed within the framework of generalized standard materials with internal constraints, which is used to analyze a 3D SMA structure representing a superelastic stent and other pertaining phenomena like training and two-way shape memory.
References
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Journal ArticleDOI
Berechnung verschiedener physikalischer Konstanten von heterogenen Substanzen. I. Dielektrizitätskonstanten und Leitfähigkeiten der Mischkörper aus isotropen Substanzen
TL;DR: In this article, the Berechnung der dielektrizitatatkonstanten and der Leitfahigkeiten fur Elektriatitat and Warme der Mischkorper aus isotropen Bestandteilen behandelt.
Book
The theory of transformations in metals and alloys : an advanced textbook in physical metallurgy
Journal ArticleDOI
Estimates near the boundary for solutions of elliptic partial differential equations satisfying general boundary conditions II
Book
The theory of transformations in metals and alloys
J.W. Christian,H. M. Otte +1 more
TL;DR: In this paper, the authors present a general introduction to the theory of transformation kinetics of real metals, including the formation and evolution of martensitic transformations, as well as a theory of dislocations.