A Multiscale Model of First and Second Order Phase Transformations with Application to SMA Single Crystals

2008 ◽  
Vol 7 (1) ◽  
pp. 197-213 ◽  
Author(s):  
Vesselin Stoilov
1994 ◽  
Vol 40 (134) ◽  
pp. 132-134
Author(s):  
R.E. Gagnon ◽  
C. Tulk ◽  
H. Kiefte

AbstractSingle crystals and bicrystals of water ice have been adiabatically pressurized to produce, and clearly illustrate, two types of internal melt figures: (1) dendritic figures that grow from nucleation imperfections on the specimen’s surface, or from air bubbles at grain boundaries, into the ice as pressure is elevated; and (2) compression melt fractures, flat liquid-filled disks, that nucleate at imperfections in the crystal and grow with the application of pressure eventually to sprout dendritic fingers at the periphery. The transparency of the ice permitted visualization of the growth and behavior of the figures, and this could be an important tool in understanding the role of phase transformations in deep-focus earthquakes. Correlation between figure size and pressure is noted for the first time.


2005 ◽  
Vol 248 (1-4) ◽  
pp. 259-263 ◽  
Author(s):  
E. Gatskevich ◽  
G. Ivlev ◽  
P. Přikryl ◽  
R. Černý ◽  
V. Cháb ◽  
...  

2017 ◽  
Vol 19 (21) ◽  
pp. 13534-13546 ◽  
Author(s):  
Fangping Zhuo ◽  
Qiang Li ◽  
Jinghan Gao ◽  
Qingfeng Yan ◽  
Yiling Zhang ◽  
...  

(Pb,La)(Zr,Sn,Ti)O3 single crystals are grown via the flux method. The structural phase transition, thermal–electrical energy harvesting and electrocaloric properties of the PLZST crystals with [100], [110], and [111] crystallographic directions are studied systematically.


1985 ◽  
Vol 88 (2) ◽  
pp. 587-594 ◽  
Author(s):  
M. A. Uimin ◽  
A. E. Ermakov ◽  
O. B. Andreeva ◽  
E. I. Teitel ◽  
V. M. Gundyrev

Aerospace ◽  
2006 ◽  
Author(s):  
T. Liu ◽  
C. S. Lynch

Ferroelectric materials exhibit spontaneous polarization and domain structures below the Curie temperature. In this work the phase field approach has been used to simulate phase transformations and the formation of ferroelectric domain structures. The evolution of phases and domain structures was simulated in ferroelectric single crystals by solving the time dependent Ginzburg-Landau (TDGL) equation with polarization as the order parameter. In the TDGL equation the free energy of a ferroelectric crystal is written as a function of polarization and applied fields. Change of temperature as well as application of stress and electric fields leads to change of the free energy and evolution of phase states and domain structures. In this work the finite difference method was implemented for the spatial description of the polarization and the temporal evolution of polarization field was computed by solving the TDGL equation with an explicit time integration scheme. Cubic to tetragonal, cubic to rhombohedral and rhombohedral to tetragonal phase transformations were modeled, and the formation of domain structures was simulated. Field induced polarization switching and rhombohedral to tetragonal phase transition were simulated.


1953 ◽  
Vol 31 (5) ◽  
pp. 820-836 ◽  
Author(s):  
G. M. Volkoff

The dependence of electric quadrupole splitting of nuclear magnetic resonance absorption lines in single crystals on crystal orientation in an external magnetic field is investigated theoretically following earlier work of Pound, of Volkoff, Petch, and Smellie, and of Bersohn. Explicit formulae are given, applicable to non axially symmetric crystalline electric field gradients (η ≠ 0), and valid up to terms of the second order in the quadrupole coupling constant [Formula: see text], for the dependence of the absorption frequencies on the angle of rotation of the crystal about any arbitrary axis perpendicular to the magnetic field. Some formulae including third order effects in Cz are also given. It is shown that an experimental study of the dependence of this splitting on the angles of rotation about any two arbitrary mutually perpendicular axes is sufficient, when second order effects are measurable, to yield the values of | Cz |, η, and the orientation of the principal axes of the electric field gradient tensor at the nuclear sites. In the case that the direction of one of the principal axes is known from crystal symmetry, a single rotation about this axis gives the complete information.A new method of determining nuclear spin I is proposed which depends on comparing first and second order shifts of the resonance frequencies of the strong inner line components. The method will be of interest in those cases where the total number 2I of line components can not be unambiguously ascertained owing to the outer line components being excessively broadened and weakened by crystal imperfections.


1967 ◽  
Vol 2 (4) ◽  
pp. 201-207 ◽  
Author(s):  
K.H. Adams ◽  
R.C. Blish ◽  
T. Vreeland

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