2D Problem of Micropolar Thermoelastic Rotating Medium Possessing Cubic Symmetry Under Effect of Inclined Load with G-N III

2016 ◽  
Vol 13 (8) ◽  
pp. 5590-5597 ◽  
Author(s):  
Mohamed I. A Othman ◽  
S. M Abo-Dahab ◽  
Haneen A Alosaimi
2018 ◽  
Vol 14 (2) ◽  
pp. 306-321 ◽  
Author(s):  
Mohamed I.A. Othman ◽  
S.M. Abo-Dahab ◽  
Haneen A. Alosaimi

Purpose The purpose of this paper is to study a model of the equations of a two-dimensional problem in a half space, whose surface in a free micropolar thermoelastic medium possesses cubic symmetry as a result of inclined load. The problem is formulated in the context of Green-Naghdi theory of type II (G-N II) (without energy dissipation) and of type III (G-N III) (with energy dissipation) under the effect of magnetic field. Design/methodology/approach The normal mode analysis is used to obtain the exact expressions of the physical quantities. Findings The numerical results are given and presented graphically when the inclined load and magnetic field are applied. Comparisons are made with the results predicted by G-N theory of both types II and III in the presence and absence of the magnetic field and for different values of the angle of inclination. Originality/value In the present work, the authors study the influence of inclined load and magnetic field in a micropolar thermoelastic medium in the context of the G-N theory of both types II and III. Numerical results for the field quantities are obtained and represented graphically.


Author(s):  
Wenwu Cao

Domain structures play a key role in determining the physical properties of ferroelectric materials. The formation of these ferroelectric domains and domain walls are determined by the intrinsic nonlinearity and the nonlocal coupling of the polarization. Analogous to soliton excitations, domain walls can have high mobility when the domain wall energy is high. The domain wall can be describes by a continuum theory owning to the long range nature of the dipole-dipole interactions in ferroelectrics. The simplest form for the Landau energy is the so called ϕ model which can be used to describe a second order phase transition from a cubic prototype,where Pi (i =1, 2, 3) are the components of polarization vector, α's are the linear and nonlinear dielectric constants. In order to take into account the nonlocal coupling, a gradient energy should be included, for cubic symmetry the gradient energy is given by,


1978 ◽  
Vol 3 ◽  
pp. 479-501 ◽  
Author(s):  
E. Du Trémolet de Lacheisserie ◽  
P. Morin ◽  
J. Rouchy

2021 ◽  
Vol 60 (16) ◽  
pp. 9009-9014
Author(s):  
George Serghiou ◽  
Hans Josef Reichmann ◽  
Nicholas Odling ◽  
Kristina Spektor ◽  
Anna Pakhomova ◽  
...  
Keyword(s):  
Group Iv ◽  

2021 ◽  
Vol 47 (1) ◽  
pp. 7-13
Author(s):  
S. V. Gudina ◽  
A. S. Bogolubskiy ◽  
V. N. Neverov ◽  
K. V. Turutkin ◽  
N. G. Shelushinina ◽  
...  

2021 ◽  
Vol 103 (12) ◽  
Author(s):  
Nazir Khan ◽  
Danil Prishchenko ◽  
Mary H. Upton ◽  
Vladimir G. Mazurenko ◽  
Alexander A. Tsirlin
Keyword(s):  

Author(s):  
R. Ya. Rasulov ◽  
V. R. Rasulov ◽  
I. Eshboltaev ◽  
R. R. Sultonov

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