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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Local minimizers and planar interfaces in a phase-transition model with interfacial energy
John M. Ball,Elaine Crooks +1 more
TL;DR: In this paper, it was shown that at slightly sub-critical temperatures, a phase which globally minimizes the elastic energy density at supercritical temperatures is an L 1-local minimizer of the functional including interfacial energy, whereas it is typically only a W 1,∞-local local minimizer.
Journal ArticleDOI
Branching of {110) twin boundaries in five-layered Ni-Mn-Ga bent single crystals
TL;DR: In this article, two bending tests around two perpendicular axes were applied to 10M Ni-Mn-Ga single crystals with five-layered modulated structure, and the crystal structure and microstructure evolution were examined using synchrotron radiation and electron backscatter diffraction, respectively.
Journal ArticleDOI
Hierarchical pattern formation in elastic materials
TL;DR: In this paper, a triple-well potential (θ 6 model) in local strain, strain gradient terms up to second order in strain and fourth-order in gradient, and all symmetry-allowed compositional fluctuation-induced strain gradient term which favor hierarchical structures and enable communication between macroscopic (cm) and microscopic regions essential for shape memory are studied.
Journal ArticleDOI
Macroscopic modeling of functional fatigue in shape memory alloys
TL;DR: In this article, a macroscopic homogenized model of shape memory alloys is proposed to predict the onset of functional fatigue in the material, based on the Souza-Auricchio model.
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.