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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Self-accommodation in martensite
TL;DR: In this paper, the authors derived necessary and sufficient conditions that the lattice parameters of a material must satisfy for the material to form a self-accommodating microstructure and showed that if the austenite is cubic, then it is possible to construct any micro-structure that is self-ACCOMMODating unless the transformation strain or the Bain strain satisfies additional, rather strict, conditions.
Journal ArticleDOI
Wedge-like microstructure in martensites
TL;DR: In this paper, the Hadamard jump condition is used to characterize coherent interfaces of martensites and it is shown that only very special materials whose lattice parameters satisfy certain highly restrictive conditions can form the wedge-like microstructure.
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Transformation-induced plasticity in ferrous alloys
TL;DR: In this paper, Turteltaub et al. studied the mechanical behavior of a class of multiphase carbon steels where metastable austenite at room temperature is found in grains dispersed in a ferrite-based matrix.
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The self-accommodated morphology of martensite in nanocrystalline NiTi shape memory alloys
TL;DR: In this paper, a geometrically nonlinear theory of the martensitic phase transformation of nanocrystalline NiTi was used to predict the observed geometry of both straight and curved junction planes of the herringbone microstructure.
Journal ArticleDOI
General existence theorems for Hamilton-Jacobi equations in the scalar and vectorial cases
TL;DR: In this article, the Dirichlet problem is considered and the Hamilton-Jacobi equation is used to find a solution to the problem of finding the existence of a solution for a given problem.
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.