Nonlinear analysis of Frenkel-Kontorova model using method of averaging

2021 ◽  
Vol 2021.27 (0) ◽  
pp. 11B04
Author(s):  
Ryuji KOTOBUKI ◽  
Soichiro TAKATA
Keyword(s):  
Nonlinear Analysis ◽  
Method Of Averaging ◽  
Kontorova Model

The observation of solutions in Ni3Nb

1988 ◽  
Vol 46 ◽  
pp. 540-541
Author(s):  
Z.M. Wang ◽  
J.P. Zhang
Keyword(s):  
Electron Microscopy ◽  
High Resolution ◽  
Phase Modulation ◽  
High Resolution Electron Microscopy ◽  
Antiphase Domain ◽  
Boundary Area ◽  
Matrix Type ◽  
Resolution Electron ◽  
Domain Boundaries ◽  
Kontorova Model

High resolution electron microscopy reveals that antiphase domain boundaries in β-Ni3Nb have a hexagonal unit cell with lattice parameters ah=aβ and ch=bβ, where aβ and bβ are of the orthogonal β matrix. (See Figure 1.) Some of these boundaries can creep “upstairs” leaving an incoherent area, as shown in region P. When the stepped boundaries meet each other, they do not lose their own character. Our consideration in this work is to estimate the influnce of the natural misfit δ{(ab-aβ)/aβ≠0}. Defining the displacement field at the boundary as a phase modulation Φ(x), following the Frenkel-Kontorova model [2], we consider the boundary area to be made up of a two unit chain, the upper portion of which can move and the lower portion of the β matrix type, assumed to be fixed. (See the schematic pattern in Figure 2(a)).

Nonlinear analysis of functionally graded skewed and tapered wing-like plates including porosities: A bifurcation study

2021 ◽  
Vol 160 ◽  
pp. 107341
Author(s):  
Touraj Farsadi ◽  
Mohammad Rahmanian ◽  
Hasan Kurtaran
Keyword(s):  
Nonlinear Analysis ◽  
Functionally Graded

NONLINEAR ANALYSIS OF A NON-FOURIER HEAT CONDUCTION PROBLEM IN A FIN HEATED BY CONSTANT HEAT SOURCE

2017 ◽  
Vol 48 (7) ◽  
pp. 571-584
Author(s):  
Mohammad Javad Noroozi ◽  
Seyfolah Saedodin ◽  
Davood D. Ganji
Keyword(s):  
Heat Conduction ◽  
Heat Source ◽  
Nonlinear Analysis ◽  
Heat Conduction Problem ◽  
Constant Heat ◽  
Fourier Heat Conduction

Nonlinear analysis of stability and control for an F-16 configuration

1997 ◽  
Author(s):  
Zhongjun Wang ◽  
Zhidai He ◽  
C. Lan ◽  
Zhongjun Wang ◽  
Zhidai He ◽  
...  
Keyword(s):  
Nonlinear Analysis ◽  
Stability And Control ◽  
Analysis Of Stability ◽  
And Control
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