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
Book
Constitutive modelling of shape memory alloys and upscaling of deformable porous media
TL;DR: Popov et al. as discussed by the authors developed a robust, thermodynamics based, 3-D constitutive model for shape memory alloys with special features, dictated by new experimental observations, and implemented numerically in 3D with the help of return-mapping algorithms.
Journal ArticleDOI
Pseudoelastic behavior of a CuAlNi single crystal under uniaxial loading
TL;DR: In this article, the orientation dependence of the stress-induced martensitic transformation in a Cu-13.7 pct Al-4.18 pct Ni (wt pct) alloy was analyzed.
Journal ArticleDOI
Microstructural pattern formation in finite-deformation single-slip crystal plasticity under cyclic loading: Relaxation vs. gradient plasticity
TL;DR: In this article, the authors investigate microstructure formation and evolution during cyclic loading in rate-dependent crystal plasticity at finite strains and compare three different formulations for updating the accumulated plastic strains with a specific focus on identifying a suitable description to account for hardening.
Journal ArticleDOI
Characterization of generalized Young measures generated by symmetric gradients
Guido De Philippis,Filip Rindler +1 more
TL;DR: In this paper, a characterization theorem for generalized Young measures generated by symmetric derivatives of functions of bounded deformation was established in the spirit of the classical Kinderlehrer-Pedregal theorem.
Journal ArticleDOI
An assessment of numerical techniques to find energy-minimizing microstructures associated with nonconvex potentials
TL;DR: In this article, the authors compared three numerical techniques (FEM, a Fourier-based spectral formulation, and a meshless maximum-entropy (max-ent) method) to find the quasiconvex, relaxed energy.
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.