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
More filters
Journal ArticleDOI
Three-dimensional isogeometric solutions to general boundary value problems of Toupin’s gradient elasticity theory at finite strains
TL;DR: In this paper, the first complete three-dimensional numerical solutions to a broad range of boundary value problems for a general theory of finite strain gradient elasticity were presented, to the best of our knowledge.
Journal ArticleDOI
Shape memory behavior and tension–compression asymmetry of a FeNiCoAlTa single-crystalline shape memory alloy
TL;DR: In this paper, the shape memory behavior of a polycrystalline FeNiCoAlTa shape memory alloy was studied, for the first time, by thermal cycling under constant stress levels in both tension and compression.
Journal ArticleDOI
Micro and Macro Deformation of Single Crystal NiTi
TL;DR: In this article, the authors present experimental results on the instrumented Vickers micro-indentation and compression of solutionized Ni-rich NiTi single crystals at room temperature.
Book ChapterDOI
A Mathematical Framework for Generalized Standard Materials in the Rate-Independent Case
TL;DR: In this paper, a weak derivative-free form of the flow law is proposed based on a global stability condition and an energy balance, which allows for the usage of the rich theory in the direct method of the calculus of variations.
Journal ArticleDOI
A phase field – Finite element approach to model the interaction between phase transformations and plasticity in shape memory alloys
TL;DR: In this paper, a finite element framework was developed to capture phase transformations at the martensite correspondence variant (CV) scale and rate-dependent crystal plasticity in austenite.
References
More filters
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.