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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Journal ArticleDOI
Surface Proximity Effect, Imprint Memory of Ferroelectric Twins, and Tweed in the Paraelectric Phase of BaTiO3.
Cécile Mathieu,Christophe Lubin,G Le Doueff,Mattia Cattelan,P Gemeiner,Brahim Dkhil,Ekhard K. H. Salje,Nicholas Barrett +7 more
TL;DR: This surface proximity effect provides the mechanism for memory of the bulk ferro electric domain arrangement up to 150 K above TC and thus can be considered as a robust fingerprint of the ferroelectric state near the surface.
Dissertation
Lower Semicontinuity and Young Measures for Integral Functionals with Linear Growth
TL;DR: In this paper, Fonseca et al. presented a new proof of sequential weak lower semicontinuity in the space of functions of bounded deformation for functionals of the form
Journal ArticleDOI
On the Importance of Structural and Functional Fatigue in Shape Memory Technology
TL;DR: In this article, structural and functional fatigue in shape memory alloys (SMAs) is discussed and examples for the complexity of short crack growth in pseudo-elastic SMAs are provided.
Posted Content
On Lipschitz solutions for some forward-backward parabolic equations
Seonghak Kim,Baisheng Yan +1 more
TL;DR: In this article, the existence and properties of Lipschitz solutions for some forward-backward parabolic equations in all dimensions were investigated and the main approach to existence was motivated by reformulating such equations into partial differential inclusions and relying on a Baire's category method.
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.