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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Strain–temperature behavior of NiTiCu shape memory single crystals
TL;DR: In this article, single crystal specimens of NiTi10Cu alloys were subjected to temperature cycling conditions under constant tensile and compressive stresses and the transformation strain levels were monitored and the experimental transformation strain values were consistently below the theoretical levels due to two main reasons: the slip deformation in the austenite domains as confirmed with TEM studies, and the incomplete transformation resulting in a mixture of orthorhombic and monoclinic phases as determined from diffraction patterns.
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An upper bound to the free energy of mixing by twin-compatible lamination for n-variant martensitic phase transformations
TL;DR: In this article, the upper bound is constructed upon assumptions on the type of microstructures that form in monoclinic and orthorhombic copper-based alloys with cubic austenitic symmetry.
Journal ArticleDOI
Pseudoelasticity and Cyclic Stability in Co49Ni21Ga30 Shape-Memory Alloy Single Crystals at Ambient Temperature
TL;DR: In this paper, as-grown Co49Ni21Ga30 [001]- and [123]- oriented single crystals were subjected to cyclic compression loading at room temperature above the austenite finish temperature of 15 ÂC.
Journal ArticleDOI
Nucleation Barriers for the Cubic-to-Tetragonal Phase Transformation
TL;DR: In this article, the authors consider a model from geometrically linear elasticity with sharp energy penalization for phase boundaries and show that the minimal energy for an inclusion of martensite scales like maxfV 2=3 ;V 9=11 g in terms of the volume V.
Journal ArticleDOI
On the relation of a three-well energy
TL;DR: In this paper, a variational principle of Hashin-Shtrikman type is developed for the relaxed energy under the assumption that the original energy function is a difference of a quadratic function and of another convex function.
References
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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.