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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Dissertation
A continuum model for phase transitions in thermoelastic solids and its application to shape memory alloys
TL;DR: In this paper, the authors propose a method to solve the problem of "uniformity" and "uncertainty" in the context of video games.2.3.2
Journal ArticleDOI
On kinetics of hysteresis
TL;DR: In this paper, an initiation criterion and a kinetic relation describing hysteresis in shape memory alloys consistent with non-equilibrium thermodynamics are proposed, which turns out to be rate-independent but history dependent.
Journal ArticleDOI
The regularisation of the N-well problem by finite elements and by singular perturbation are scaling equivalent in two dimensions
TL;DR: In this paper, the authors established a sharp relation between the N -well problem with surface energy and the finite element approximation to the N-well problem without surface energy, and showed that there exists a space of functions where each function is piecewise affine on a regular (non-degenerate) h-triangulation and satisfies the affine boundary condition v=lF on (where l F is affine with ) such that for there exists positive constants (depending on, p ) for which the following holds true.
Journal ArticleDOI
Statistical variations in predicted martensite variant volume fractions in superelastically deformed NiTi modeled using habit plane variants versus correspondence variants
TL;DR: In this article, a statistical comparison of HPVs and Correspondence Variants (CVs) is presented for the case of superelastic Nitinol subjected to uniaxial tension and compression, and the relative differences were found to be about 30% in tension and 10% in compression at high strains.
Journal ArticleDOI
Cells exploit a phase transition to mechanically remodel the fibrous extracellular matrix
Georgios Grekas,Maria Proestaki,Phoebus Rosakis,Phoebus Rosakis,Jacob Notbohm,Charalambos Makridakis,Charalambos Makridakis,Charalambos Makridakis,Guruswami Ravichandran +8 more
TL;DR: In this paper, the authors show that tether formation is a densification phase transition of the extracellular matrix caused by buckling instability of network fibres under cell-induced compression, featuring unexpected similarities with martensitic microstructures.
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.