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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Book ChapterDOI
Numerical Analysis of Microstructure
TL;DR: This paper presents a variational model that describes how local minimizers in a finite element discretization cluster and so complicate the numerical simulation to become a numerical analyst’s nightmare.
Journal ArticleDOI
Cauchy–Dirichlet Problem for First Order Nonlinear Systems
TL;DR: In this paper, it was shown that ifRcoE=PcoE and ifϕ∈C1(Ω; R m) is such that Dϕ(x)∈E∪int PcoE, x∈Ω then there exists (a dense set of)u∈W1, ǫ∞∞ (Ω, r m) such that
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Heusler interfaces—Opportunities beyond spintronics?
TL;DR: In this article, the authors present a vision for Heusler interfaces, focusing on the frontiers and challenges that lie beyond spintronics, and provide a platform for discovery and manipulation of emergent properties at well-defined crystalline interfaces.
Journal ArticleDOI
Phase transitions of elastic solid materials
TL;DR: In this paper, the analysis of phase transitions for mixtures of two or more noninteracting fluids has been successfully undertaken within the Van der Waals-Cahn-Hilliard gradient theory of phase transition.
Journal ArticleDOI
Phase changes induced by deformation in isothermal elastic crystals
TL;DR: In this paper, a finite-difference computer program is used to investigate equilibrium boundary value problems involving permanent elastic deformations in plane strain, and the numerical solutions show phenomena similar to martensitic transformation and twinning.
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.