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
More filters
Journal ArticleDOI
Computational modelling of plasticity induced by martensitic phase transformations
TL;DR: In this article, a time integration scheme is presented for the martensitic phase transformation model developed in recent theoretical work of Turteltaub and Suiker (A multi-scale thermomechanical model for cubic to tetragonal martENSITIC phase transformations 2005; Transformation-induced plasticity in ferrous alloys 2005).
Journal ArticleDOI
Numerical analysis of oscillations in nonconvex problems
TL;DR: In this article, the authors study numerically the pattern of the minimizing sequences of nonconvex problems which do not admit a minimizer and show that the pattern is similar to that of the minimization sequence of non-convariant problems.
Journal ArticleDOI
Deformation of FeNiCoTi shape memory single crystals
Journal ArticleDOI
A micromechanical model for pretextured polycrystalline shape-memory alloys including elastic anisotropy
Klaus Hackl,R. Heinen +1 more
TL;DR: In this article, a micromechanical model for polycrystalline shape-memory alloys is presented, which is capable of reproducing important aspects of the material behavior such as pseudoelasticity, pseudoplasticity and tension-compression asymmetry.
The totality of soft-states in a neo-classical nematic elastomer
TL;DR: In this paper, the authors developed a nonlinear continuum theory for nematic elastomers, the constitutive framework of which includes the special classes noted above, based on two distinct force balances arising from the macroscopic deformation and the nematically induced distortion of the polymer molecules.
References
More filters
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.