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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Initial transformation around a notch tip in CuAlNi: Experiment and modeling
Adam A. Creuziger,Wendy C. Crone +1 more
TL;DR: In this article, the authors report on experiments and modeling predictions of polycrystalline samples of a CuAlNi shape memory alloy, and show that the available work criterion is predictive for arbitrarily oriented crystals in a polycrystaline sample.
Journal ArticleDOI
Numerical analysis of a model for ferromagnetic shape memory thin films
Mitchell Luskin,Tianyu Zhang +1 more
TL;DR: In this article, a model for the deformation and magnetization of a single crystal ferromagnetic shape memory thin film under the influence of an applied magnetic field is given, where the energy is nonconvex since it models multiple phases and symmetry-related variants of the crystal structure.
Journal ArticleDOI
Finite difference modeling of phase changes and localization in elasticity
TL;DR: In this article, a finite difference dynamic relaxation program for solving plane-strain equilibrium problems in nonlinear elasticity, called chimp, has been proposed, which is suitable for use on personal computers and lends itself readily to vectorization.
Journal ArticleDOI
Micromechanical modeling of NiTi shape memory alloys including austenite, R-phase, and martensite
R. Heinen,Shorash Miro +1 more
TL;DR: In this paper, the elastic energy is formulated separately for each crystallographic phase and variant in the model described in this work, and the microstructure of different crystallographic phases and variants that is formed for a given load is then captured by an estimate of the quasiconvexification of the resulting energy landscape.
Journal ArticleDOI
Non-conventional twins in five-layer modulated Ni-Mn-Ga martensite
TL;DR: In this paper, the Ni-Mn-Ga ferromagnetic shape memory alloy was used to detect non-conventional twins in five-layer modulated martensite.
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.