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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Stressed microstructures in thermally induced M9R–M18R martensites
TL;DR: In this paper, the phase transformation that produces M9R and M18R martensites in shape-memory alloys is revisited and the typical wedge-shaped configuration is analyzed.
Journal ArticleDOI
A microscopically motivated constitutive model for shape memory alloys: Formulation, analysis and computations
TL;DR: By formulating micromechanics-inspired modelling assumptions, a refined form of this description makes this model especially useful for complex loading paths and proves the existence of energetic solutions to the model by a backward Euler scheme.
Journal ArticleDOI
Incompatibility and preferred morphology in the self-accommodation microstructure of β-titanium shape memory alloy
TL;DR: In this article, the frequency distribution of habit plane variant (HPV) clusters and the deviation from twin orientation relationships (ORs) at the junction plane (JP) were investigated by transmission electron microscopy together with theoretical evaluation of the kinematic compatibility at the JP in a β-titanium shape memory alloy.
Journal ArticleDOI
An upper bound to the free energy of n-variant polycrystalline shape memory alloys
Klaus Hackl,R. Heinen +1 more
TL;DR: In this paper, a non-local variational approach to the elastic energy minimization of polycrystalline polycrystals is proposed, which relies on martensitic twinned microstructures with the work of Smyshlyaev and Willis.
Journal ArticleDOI
A Variational Model for Reconstructive Phase Transformations in Crystals, and their Relation to Dislocations and Plasticity
Sergio Conti,Giovanni Zanzotto +1 more
TL;DR: In this article, the authors studied the reconstructive martensitic transformations in planar lattices and derived a strain-energy function that is invariant under the full symmetry group of the lattice.
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
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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.