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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Equivalence between rank-one convexity and polyconvexity for isotropic sets of R 2×2 (Part II)
Journal ArticleDOI
Soft elasticity and microstructure in smectic C elastomers
TL;DR: In this article, the soft elasticity and the corresponding microstructure were investigated by determining the quasiconvex hull of the set K C, and use this to propose experimental tests that should make the predicted soft response observable.
Journal ArticleDOI
Crystallography of Martensite in TiAu Shape Memory Alloy
Tomonari Inamura,Hideki Hosoda +1 more
TL;DR: In this paper, the twin structure, habit plane orientation, and morphology of B19 martensite in TiAu, which is a candidate shape memory alloy (SMA) for high-temperature and biomedical applications, were investigated by conventional transmission electron microscopy.
Journal ArticleDOI
Some remarks on nonlocal interactions and hysteresis in phase transitions
TL;DR: In this article, the authors examined models of shape memory alloys in which the usual multiwell, nonconvex elastic energy is modified by the addition of a nonlocal interaction term.
Journal ArticleDOI
Exact Constructions in the (Non-linear) Planar Theory of Elasticity: From Elastic Crystals to Nematic Elastomers
Pierluigi Cesana,Pierluigi Cesana,Francesco Della Porta,Angkana Rüland,Christian Zillinger,Christian Zillinger,Barbara Zwicknagl,Barbara Zwicknagl +7 more
TL;DR: Conti et al. as discussed by the authors deduce necessary and sufficient conditions for the presence of "Conti-type" highly symmetric, exactly stress-free constructions in the geometrically non-linear, planar n-well problem.
References
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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.