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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A multi-variant martensitic phase transformation model: formulation and numerical implementation
Sanjay Govindjee,Christian Miehe +1 more
TL;DR: In this paper, the authors developed a model in a general multi-variant framework for single crystals that is based upon lattice correspondence variants and the use of dissipation arguments for the generation of specialized evolution equations.
Journal ArticleDOI
Theory of magnetostriction with applications to TbxDy1-xFe2
TL;DR: In this paper, a new approach to magnetostriction is presented to describe materials with large magnetostrusion. But the main idea of the theory is to derive precisely from lattice considerations the potential wells of the anisotropy energy, which exhibits frustration in the sense explored by the authors in the rigid case.
Journal ArticleDOI
Ferroelectric perovskites for electromechanical actuation
TL;DR: A recent surge of activity in ferroelectric materials motivated by the desire for materials capable of large strains for actuator applications is described in this article, which provides a snapshot of the recent advances in theory and experiment, and points to open issues and opportunities for the future.
Journal ArticleDOI
Modeling Dislocations and Disclinations With Finite Micropolar Elastoplasticity
TL;DR: In this article, a constitutive model for characterizing crystalline metals containing a distribution of dislocation and disclination defects is presented, from the perspective of multiscale volume averaging.
Journal ArticleDOI
Phase Transformations of Nanocrystalline Martensitic Materials
TL;DR: In this paper, the impact of crystal size on the phase stability of the martensite is reviewed summarizing experimental results of various nanostructured martensitic materials and discussing the corresponding theoretical approaches.
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.