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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.

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Citations
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On pressure-shear plate impact for studying the kinetics of stress-induced phase transformations

TL;DR: In this paper, the Wechsler-Lieberman-Read phenomenological theory was used to determine habit plane indices and directions of shape deformation for a Cu-Al-Ni shape memory alloy which undergoes a martensitic phase transformation under stress.
Book

A Variational Approach to Fracture and Other Inelastic Phenomena

TL;DR: In this article, the authors describe the many phenomenological aspects of fracture and their relations with other inelastic phenomena, such as the formation of microstructure and the changes in the material's strength induced by plasticity and damage.
Journal ArticleDOI

Magnetomechanical testing machine for ferromagnetic shape-memory alloys

TL;DR: The magnetomechanical testing machine (MMTM) as discussed by the authors combines a screw driven mechanical load frame with a dual-dipole electromagnet to load specimens both mechanically and magnetically.
Journal ArticleDOI

Generic and non-generic cubic-to-monoclinic transitions and their twins

TL;DR: In this paper, the authors report on the remarkable properties of twinning in the two cubic-to-monoclinic transitions that are possible, and underline a peculiarity of the cubic to monoclinal transitions: if the lattice parameters of the monoclinics phase satisfy certain relations that we give explicitly, there exist many more twins than in the generic case.
Book

The Flow Associated to Weakly Differentiable Vector Fields

TL;DR: In this paper, the authors provide a self-contained introduction and an up-to-date survey on many aspects of the theory of transport equations and ordinary differential equations with non-smooth velocity fields.
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

J.W. Christian, +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.