Chapter 5. Phonon Propagation and Phonon Transport in Films with Different Types of Elastic Energy Anisotropy

2020 ◽  
pp. 153-171
Keyword(s):  
Elastic Energy ◽  
Phonon Transport ◽  
Different Types ◽  
Energy Anisotropy

scholarly journals Влияние фокусировки на распространение фононов и теплопроводность в монокристаллических пленках с различным типом анизотропии упругой энергии

2018 ◽  
Vol 60 (5) ◽  
pp. 868
Author(s):  
И.И. Кулеев
Keyword(s):  
Thermal Conductivity ◽  
Heat Flux ◽  
Angular Distribution ◽  
Cross Section ◽  
Elastic Energy ◽  
Qualitative Difference ◽  
Phonon Transport ◽  
Knudsen Flow ◽  
Different Types ◽  
Physical Reasons

AbstractThe influence of the anisotropy of elastic energy on the phonon propagation and phonon transport in single crystal nanofilms with different types of anisotropy of elastic energy in a Knudsen flow of a phonon gas is studied. The angular distribution of phonon mean free paths in the planes of the films and in their cross section is analyzed. The physical reasons leading to the dependence of the thermal conductivity on the orientation of the film planes and the directions of the heat flux relative to the crystal axes are studied. An analysis of the effect of focusing on the phonon propagation made it possible to explain the qualitative difference between the anisotropy of phonon mean free paths in films of cubic nanocrystals of various types having different orientations of the planes.

scholarly journals Коэффициенты усиления потока фононов в кристаллах с различным типом анизотропии упругой энергии

2018 ◽  
Vol 60 (7) ◽  
pp. 1260
Author(s):  
И.Г. Кулеев ◽  
С.М. Бахарев
Keyword(s):  
Elastic Energy ◽  
Enhancement Factor ◽  
Pulse Propagation ◽  
Anisotropy Parameter ◽  
Surface Curvature ◽  
Cubic Crystals ◽  
Acoustic Modes ◽  
Energy Anisotropy ◽  
Parameter Values ◽  
Isoenergetic Surface

AbstractPhonon pulse propagation in cubic crystals with different elastic energy anisotropy types is considered. A closed analytical expression is derived for the phonon flux enhancement factor. The features of its dependences on the isoenergetic surface curvature types are analyzed for all acoustic modes and anisotropy parameter values and signs.

Phase-Field Simulation of δ-Ni2Si Precipitation in Cu-Ni-Si Alloys

2011 ◽  
Vol 689 ◽  
pp. 184-189
Author(s):  
Yong Qiang Long ◽  
Ping Liu ◽  
Yong Liu
Keyword(s):  
Phase Field ◽  
Interfacial Energy ◽  
Elastic Energy ◽  
Phase Field Model ◽  
Precipitation Process ◽  
Phase Precipitation ◽  
Coarsening Behavior ◽  
Δ Phase ◽  
Energy Anisotropy ◽  
Precipitation Phase

The phase-field model is established for precipitation transformations in multi-component alloy, which incorporates the interfacial energy and elastic energy anisotropy. The mechanism of the precipitation phase transition is revealed by means of the simulation of δ-phase precipitation process in Cu-4.0at.%Ni-2.0at.%Si alloy, and furthermore, the δ-phase precipitation kinetics is built at the temperature of 450°C. Under the influence of both interfacial energy and elastic energy anisotropy, δ-Ni2Si is presented in disc-shaped precipitates. The simulation patterns show that when one precipitate hits another precipitate with a different orientation, it stops growing, consequently forming a “T”-shape precipitate configuration. When two precipitates with the same orientations grow and hit each other, they connect or coarsen only if the spacing between the precipitates is very small. Therefore, the coarsening behavior of disc-shaped precipitate should be completely different from that of spherical precipitates.

Elastic energy anisotropy effects on antiphase boundaries

1996 ◽  
Vol 44 (4) ◽  
pp. 1613-1621 ◽  
Author(s):  
R.G. Van Der Heide ◽  
S.M. Allen
Keyword(s):  
Elastic Energy ◽  
Antiphase Boundaries ◽  
Energy Anisotropy

Computer Simulation of the Elastic Energy Contribution to Antiphase Boundary Energy Anisotropy

1990 ◽  
Vol 213 ◽  
Author(s):  
Robert G. Van Der Heide ◽  
Samuel M. Allen
Keyword(s):  
Elastic Energy ◽  
Order Parameter ◽  
Elastic Anisotropy ◽  
Boundary Energy ◽  
Antiphase Boundary ◽  
Al Alloys ◽  
Energy Contribution ◽  
Degree Of Anisotropy ◽  
Energy Anisotropy ◽  
High Degree

ABSTRACTThe results of computer simulations on the effect of elastic energy on APB anisotropy are presented. The model used treats composition and order parameter as local variables defined at crystal planes parallel to the APB. The set that minimizes the free energy, including elastic energy terms, defines the equilibrium APB structure. It was found that, despite their high elastic anisotropy, elastic effects would not result in any substantial APB anisotropy in Fe-Al alloys. However, a model with different parameters did show a high degree of anisotropy.

scholarly journals Estimation of 4th and 6th Order ODF Coefficients From Elastic Properties in Cold Rolled Steel Sheets

1989 ◽  
Vol 11 (1) ◽  
pp. 41-56 ◽  
Author(s):  
Kei Sakata ◽  
Dominique Daniel ◽  
John J. Jonas
Keyword(s):  
Elastic Properties ◽  
Elastic Energy ◽  
Elastic Anisotropy ◽  
Polycrystalline Materials ◽  
Orthorhombic Symmetry ◽  
Rolled Steel ◽  
Steel Sheets ◽  
Different Types ◽  
Cold Rolled ◽  
Annealed Steel

Generally only the 4th order ODF coefficients are deduced from the observed elastic anisotropy of textured polycrystalline materials with cubic/orthorhombic symmetry. In this study, a method is described for the prediction of the 4th and 6th order ODF coefficients from the elastic properties of cold rolled and annealed steel sheets of 5 different types. In order to link these properties with the texture, the elastic energy method of Bunge (1974) is employed. By estimating the volume fractions of the principal preferred orientations and their gaussian spreads, ODF coefficients of the 4th (C411, C412 and C413) and 6th (C611, C612 and C614) orders can be successfully obtained. As a result, the planar r-value distribution can be predicted more accurately than when only the 4th order coefficients are employed.

Nonlinear Peierls-Boltzmann Equation for Phonons: Structure and Stability of Solutions

1977 ◽  
Vol 32 (8) ◽  
pp. 805-812
Author(s):  
Fr. Kaiser
Keyword(s):  
Steady State ◽  
Steady State Solution ◽  
Phonon Transport ◽  
Model System ◽  
Steady States ◽  
Different Types ◽  
The Stability ◽  
Steady State Solutions ◽  
Different Order ◽  
Complicated Situation

Abstract Phonon transport in locally disturbed media is considered. The steady state solutions of the Peierls-Boltzmann type equations are studied. In particular, the flux-dependence of local excitations is investigated. It is proven that for a large class of scattering processes only two types of steady states are possible: a hysteresis type and a threshold one. 4 different types of factorization procedures are applied and it is shown that for these cases the steady states remain nearly unchanged. The stability conditions are reformulated in such a way that one can give a geometrical interpretation. The only stable solutions are nodes. The necessary modification of our model system to allow for limit cycles is indicated. Also, a more complicated situation, where the interaction Hamiltonian HI is a superposition of terms of different order, is investigated. The resulting steady state solution is again a hysteresis.

Different effect of evanescent modes on acoustic phonon transport in different types of a three-dimensional quantum wire

2014 ◽  
Vol 378 (34) ◽  
pp. 2539-2544 ◽  
Author(s):  
Ke-Min Li ◽  
Zhong-Xiang Xie ◽  
Ka-Lin Su ◽  
Wen-Hua Luo ◽  
Gao-Hua Liao ◽  
...  
Keyword(s):  
Quantum Wire ◽  
Acoustic Phonon ◽  
Three Dimensional ◽  
Phonon Transport ◽  
Different Types

Phonon Flux Enhancement Factors in Crystals with Different Elastic Energy Anisotropy Types

2018 ◽  
Vol 60 (7) ◽  
pp. 1263-1272 ◽  
Author(s):  
I. G. Kuleyev ◽  
S. M. Bakharev
Keyword(s):  
Elastic Energy ◽  
Flux Enhancement ◽  
Enhancement Factors ◽  
Energy Anisotropy
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