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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Multiwell rigidity in nonlinear elasticity
Milena Chermisi,Sergio Conti +1 more
TL;DR: In this paper, the authors derived a quantitative rigidity estimate for a multi-well problem in nonlinear elasticity and showed that if a gradient field is close to a set of the form $SO(n)U_1\cup\dots\cup SO(n )U_l$ and an appropriate bound on the length of the interfaces holds, then the gradient field was actually close to only one of the wells.
Journal ArticleDOI
Crystalline damage growth during martensitic phase transformations
TL;DR: In this paper, a thermomechanical model is developed within a large deformation setting in order to simulate the interactions between martensitic phase transformations and crystalline damage growth at the austenitic grain level.
Journal Article
Modelling of hysteresis in two-phase systems
TL;DR: In this paper, a mathematical model for the hysteretic behavior of a two-phase thermoelastic material undergoing stress-induced coherent martensitic phase transformations is proposed.
Journal ArticleDOI
A coupled thermomechanical crystal plasticity model applied to Quenched and Partitioned steel
Daniel S. Connolly,Christopher P. Kohar,Waqas Muhammad,Louis G. Hector,Raja K. Mishra,Kaan Inal +5 more
TL;DR: In this paper, a thermodynamically consistent rate-dependent crystal plasticity formulation is used to simulate the large deformation behavior of QP steels that exhibit the transformation induced plasticity (TRIP) effect.
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.