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
More filters
Journal ArticleDOI
Weak convergence of integrands and the young measure representation
TL;DR: In this article, the validity of the Young measure representation is evaluated on functions of the pth power polynomial growth and a sufficient condition for this evaluation is given in terms of the variational principle.
Journal ArticleDOI
A Review of Domain Modelling and Domain Imaging Techniques in Ferroelectric Crystals
TL;DR: Models of domain structure in ferroelectric crystals, thin films and bulk materials, including optical, polarized light, scanning electron microscopy, X-ray and neutron diffraction, atomic force microscopy and piezo-force microscopy are reviewed.
Journal ArticleDOI
A multiscale thermomechanical model for cubic to tetragonal martensitic phase transformations
TL;DR: In this article, a multiscale thermomechanical model was developed to analyze martensitic phase transformations from a cubic crystalline lattice to a tetragonal crystalline structure.
Journal ArticleDOI
A multivariant micromechanical model for SMAs Part 2. Polycrystal model
TL;DR: In this article, an averaging scheme is developed to simulate the behavior of a polycrystalline shape memory alloy (SMA) specimen using the Multivariant Micromechanics approach.
Journal ArticleDOI
On rank one convex functions that are homogeneous of degree one
Bernd Kirchheim,Jan Kristensen +1 more
TL;DR: In this article, it was shown that positively 1-homogeneous rank one convex functions are convex at 0 and at matrices of rank one, and the result is a special case of an abstract convexity result that was established for positively 1homogeneous directionally convex function defined on an open convex cone in a finite dimensional vector space.
References
More filters
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.