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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Journal ArticleDOI
Transformation-induced plasticity in high-temperature shape memory alloys: a one-dimensional continuum model
TL;DR: In this article, a constitutive model based on isotropic plasticity consideration is presented to model the thermo-mechanical behavior of high-temperature shape memory alloys.
Journal ArticleDOI
On phase transformations in shape memory alloy materials and large deformation generalized plasticity
TL;DR: In this article, a new version of rate-independent generalized plasticity, suitable for the derivation of general thermomechanical constitutive laws for materials undergoing phase transformations, is proposed within a finite deformation framework.
Journal ArticleDOI
Analysis of a Thermomechanical Model for Shape Memory Alloys
TL;DR: This note addresses the mathematical study of a nonlinear model arising in the description of the macroscopic thermomechanical behavior of shape memory materials and investigates a system of PDEs coupled with a vectorial variational inequality.
Journal ArticleDOI
Quantitative Surface Topography of Martensitic Microstructure by Differential Interference Contrast Microscopy
TL;DR: In this paper, a mathematical model was proposed to determine the topography and full-field deformation of martensitic microstructure using the reflected light differential interference contrast microscopy technique.
Book ChapterDOI
On Some Recent Methods for Nonlinear Partial Differential Equations
TL;DR: In this paper, the authors present some aspects of a few general methods that have been introduced recently in order to solve nonlinear partial differential equations and related problems in nonlinear analysis.
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.