Periodic System of Closely Located Holes in an Elastic Plane Under the Conditions of Antiplane Deformation

2018 ◽  
Vol 53 (5) ◽  
pp. 590-599
Author(s):  
M. P. Savruk ◽  
O. I. Kvasnyuk ◽  
A. B. Chornenkyi
Keyword(s):  
Periodic System ◽  
Elastic Plane ◽  
Antiplane Deformation

Periodic System of Closely Spaced Holes in Elastic Plane

2016 ◽  
pp. 227-248
Author(s):  
Mykhaylo P. Savruk ◽  
Andrzej Kazberuk
Keyword(s):  
Periodic System ◽  
Elastic Plane

On the Application of the Method of Hypersingular Integral Equations to Solving Problems for an Elastic Plane with a Collinear System of Cracks

2020 ◽  
pp. 72-83
Author(s):  
S.M. Mkhitaryan
Keyword(s):  
Integral Equations ◽  
Half Plane ◽  
Mixed Boundary ◽  
Boundary Value ◽  
Plane Deformation ◽  
Elastic Plane ◽  
Antiplane Deformation ◽  
Hypersingular Integral ◽  
Hypersingular Integral Equations ◽  
System Of Cracks

In the present paper, using the method of hypersingular integral equations, based on the formulas of the inversion of the corresponding singular integral equations, the exact quadrature solution of the classical problems of the mechanics of an elastic plane with a collinear system of cracks is constructed. The elastic plane is in a state of antiplane deformation or plane deformation; in case of antiplane deformation, crack edges are symmetrically loaded by tangential forces, while in case of plane deformation, they are again loaded symmetrically but by normal forces. Mixed boundary-value problems for an elastic half-plane equivalent to these problems are formulated. Under plane deformation, the mixed boundary-value problem for an elastic half-plane is discussed as well when the plane boundary is reinforced by two similar and symmetrically located semi-infinite stringers between which a system of an arbitrarily final number of stringers is situated. It is considered that the stringers are absolutely rigid for expansion and compression and absolutely flexible for bending. A particular case of two similar symmetrically located cracks is considered more in detail. In this case, the exact solution to the problem is also constructed by the method of Chebyshev orthogonal polynomials.

Stress Concentration near Holes in the Elastic Plane Subjected to Antiplane Deformation

2013 ◽  
Vol 48 (4) ◽  
pp. 415-426 ◽  
Author(s):  
M. P. Savruk ◽  
A. Kazberuk ◽  
G. Tarasyuk
Keyword(s):  
Stress Concentration ◽  
Elastic Plane ◽  
Antiplane Deformation

Stresses in an elastic plane with periodic system of closely located holes

2009 ◽  
Vol 45 (6) ◽  
pp. 831-844 ◽  
Author(s):  
M. P. Savruk ◽  
A. Kazberuk
Keyword(s):  
Periodic System ◽  
Elastic Plane

Deformation of a composite elastic plane weakened by a periodic system of the arbitrarily loaded slits

1981 ◽  
Vol 45 (6) ◽  
pp. 821-826 ◽  
Author(s):  
E.L. Nakhmein ◽  
B.M. Nuller ◽  
M.B. Ryvkin
Keyword(s):  
Periodic System ◽  
Elastic Plane

Study of charge transfer in FeTi

1983 ◽  
Vol 41 ◽  
pp. 296-297
Author(s):  
J. Taft∅
Keyword(s):  
Charge Transfer ◽  
Charge Distribution ◽  
Electron Scattering ◽  
Periodic System ◽  
Electron Distribution ◽  
Scattering Amplitude ◽  
Transition Elements ◽  
Hartree Fock ◽  
Cscl Structure ◽  
The Right

It is well known that for reflections corresponding to large interplanar spacings (i.e., sin θ/λ small), the electron scattering amplitude, f, is sensitive to the ionicity and to the charge distribution around the atoms. We have used this in order to obtain information about the charge distribution in FeTi, which is a candidate for storage of hydrogen. Our goal is to study the changes in electron distribution in the presence of hydrogen, and also the ionicity of hydrogen in metals, but so far our study has been limited to pure FeTi. FeTi has the CsCl structure and thus Fe and Ti scatter with a phase difference of π into the 100-ref lections. Because Fe (Z = 26) is higher in the periodic system than Ti (Z = 22), an immediate “guess” would be that Fe has a larger scattering amplitude than Ti. However, relativistic Hartree-Fock calculations show that the opposite is the case for the 100-reflection. An explanation for this may be sought in the stronger localization of the d-electrons of the first row transition elements when moving to the right in the periodic table. The tabulated difference between fTi (100) and ffe (100) is small, however, and based on the values of the scattering amplitude for isolated atoms, the kinematical intensity of the 100-reflection is only 5.10-4 of the intensity of the 200-reflection.

Element 103 of the periodic system

1968 ◽  
Vol 14 (3) ◽  
pp. 331-339 ◽  
Author(s):  
E. D. Donets ◽  
V. A. Druin ◽  
V. L. Mikheev
Keyword(s):  
Periodic System

The stability of heavy nuclei and the limit of the periodic system of elements

1970 ◽  
Vol 100 (1) ◽  
pp. 45-92 ◽  
Author(s):  
G.N. Flerov ◽  
V.A. Druin ◽  
A.A. Pleve
Keyword(s):  
Periodic System ◽  
Heavy Nuclei ◽  
The Stability
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