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
An atomistic investigation of the kinetics of detwinning
TL;DR: In this article, the authors presented a first principles atomistic study of the dynamics of detwinning in a shape-memory alloy, and they also provided the continuum theory of twinning with a "kinetic relation", i.e., a relation between the driving force and the propagation speed.
Journal ArticleDOI
Determination of the stretch tensor for structural transformations
TL;DR: In this article, a rigorous algorithmic approach for determining the transformation stretch tensor from X-ray measurements of structure and lattice parameters is presented. But the results given by the algorithm suggest unexpected transformation mechanisms.
Journal ArticleDOI
Size effects in martensitic microstructures: Finite-strain phase field model versus sharp-interface approach
TL;DR: In this article, a finite-strain phase field model for martensitic phase transformation and twinning in shape memory alloys is developed and confronted with the corresponding sharp-interface approach extended to interfacial energy effects.
Book ChapterDOI
Lower-Semicontinuity of Variational Integrals and Compensated Compactness
TL;DR: In this article, the authors consider variational integrals defined for (sufficiently regular) functions, where Ω is a bounded open subset of R n, and the gradient matrix of u atx is given.
Journal ArticleDOI
Biting theorems for Jacobians and their applications
Kewei Zhang,Kewei Zhang +1 more
TL;DR: Weak continuity for sequences of Jacobians of vector-valued functions in W 1,n(Ω; Rn) is established via a maximal function method developed by Acerbi and Fusco [1] as discussed by the authors.
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.