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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Interfacial energy and dissipation in martensitic phase transformations. Part II: Size effects in pseudoelasticity
TL;DR: Petryk and Stupkiewicz as mentioned in this paper presented a 3D model of an evolving martensitic microstructure taking into account size effects due to the interfacial energy and also dissipation related to annihilation of interfaces.
Journal ArticleDOI
Dynamical modelling of phase transitions by means of viscoelasticity in many dimensions
TL;DR: In this paper, the equations of viscoelasticity in a multidimensional setting for the no-traction boundary data were studied and the question of stability for a class of equilibria was studied.
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Dynamics of chains with non-monotone stress–strain relations. II. Nonlinear waves and waves of phase transition
TL;DR: In this paper, the dynamics of a one dimensional mass-spring chain with non-monotone dependence of the spring force vs. spring elongation were investigated and a family of exact solutions that represent nonlinear waves were derived.
Journal ArticleDOI
Numerical Approach to Double Well Problems
TL;DR: In this paper, two-sided numerical energy estimates of a solution to two-dimensional double well problems were obtained by computing the energy appropriate for the polyconvex envelope and an upper estimate of the energy suitable for the rank-one convex envelope.
Journal ArticleDOI
Experimental and theoretical evidence of displacive martensite in an intermetallic Mo-containing γ-TiAl based alloy
Svea Mayer,Manuel Petersmann,Franz Dieter Fischer,Helmut Clemens,Thomas Waitz,Thomas Antretter +5 more
TL;DR: In this paper, the authors investigated the displacive martensite formation in the high-temperature regime using state-of-the-art experimental methods as well as modelling concepts from the phenomenological theory of Martensite crystallography.
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.