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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Compensated convexity and Hausdorff stable geometric singularity extractions
TL;DR: In this article, the theory of lower and upper compensated convex transforms was developed and applied to define multiscale, parametrized, geometric singularity extraction transforms of ridge, valleys and edges of function graphs and sets in ℝn.
Journal ArticleDOI
Self-Assembled Periodic Nanostructures Using Martensitic Phase Transformations
Abhinav Prakash,Tianqi Wang,Ashley Bucsek,Ashley Bucsek,Tristan K. Truttmann,Alireza Fali,Michele Cotrufo,Hwanhui Yun,Jong-Woo Kim,Philip Ryan,K. Andre Mkhoyan,Andrea Alù,Yohannes Abate,Richard D. James,Bharat Jalan +14 more
TL;DR: In this paper, the authors describe an approach for the rational design and synthesis of self-assembled periodic nanostructures using martensitic phase transformations, and demonstrate this approach in a thin film of...
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Admissible Riemann Solvers for Genuinely Nonlinear p-Systems of Mixed Type☆
TL;DR: In this paper, the Riemann problem for p-systems of mixed type that define two hyperbolic phases with a stress function satisfying general nonlinear hypotheses was considered.
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On separation of gradient Young measures
TL;DR: In this article, a linear subspace of real matrices without rank-one matrices and a finite set of bounded vector-valued mappings in a bounded arcwise connected Lipschitz domain is studied.
Journal ArticleDOI
Temperature dependence of twinning stress – Analogy between Cu–Ni–Al and Ni–Mn–Ga shape memory single crystals
TL;DR: In this article, the twinning planes denoted as Type I, Type II and compound have similar orientations for both alloys (Ni-Mn-Ga and Cu-Ni-Al).
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.