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
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Twin and habit plane microstructures due to the tetragonal to monoclinic transformation of zirconia
TL;DR: In this paper, the authors first construct Bain strains for the tetragonal to monoclinic (t → m) transformation of zirconia, and then examine the resulting twin and habit plane microstructures.
Journal ArticleDOI
Tensile shape memory behavior of Ni50.3Ti29.7Hf20 high temperature shape memory alloys
TL;DR: In this article, the effects of heat treatment on the shape memory characteristics of polycrystalline Ni50.3Ti29.7Hf20 alloy were studied via thermal cycling under stress and isothermal stress cycling experiments in tension.
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Effects of crystallographic orientation on the superelastic response of FeMnAlNi single crystals
TL;DR: In this article, the effects of crystal orientation on the tensile superelastic response of the Fe43.5Mn34Al15Ni7.5 single crystalline shape memory alloy, oriented along the and directions were investigated.
Journal ArticleDOI
Phase-field simulation of domain structure evolution during a coherent hexagonal-to-orthorhombic transformation
TL;DR: In this article, the formation and temporal evolution of domain structures during a hexagonal → orthorhombic transformation was studied using computer simulations based on a continuum diffuse-interface phase-field approach.
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Linear Γ-limits of multiwell energies in nonlinear elasticity theory
TL;DR: In this article, the authors derived linearized theories from nonlinear elasticity theory for multiwell energies under natural assumptions on the nonlinear stored energy densities and showed that properly rescaled nonlinear energy functionals are Γ-converge to the relaxation of a corresponding linearized model.
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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.