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Mamedov,Palamut 장전수학회 2009 Proceedings of the Jangjeon mathematical society Vol.12 No.2
In this paper we consider a second order di¤erential equation with a discontinuous coe¢ cient and spectral parameter dependent boundary con- dition in the half line. The operator interpretation of the given boundary value problem is investigated in the Hilbert space [수식]. The resolvent operator is constructed and the expansion formula with respect to eigenfunctions is obtained.
Mamedov, Khanlar R. Korean Mathematical Society 2009 대한수학회지 Vol.46 No.6
The inverse scattering problem is investigated for some second order differential equation with a nonlinear spectral parameter in the boundary condition on the half line [0, $\infty$). In the present paper the coefficient of spectral parameter is not a pure imaginary number and the boundary value problem is not selfadjoint. We define the scattering data of the problem, derive the main integral equation and show that the potential is uniquely recovered.
Machining of brittle materials: micro milling of glass
Ali Mamedov 대한기계학회 2021 JOURNAL OF MECHANICAL SCIENCE AND TECHNOLOGY Vol.35 No.9
The present study investigated the applicability of micro milling method in processing of glass material. Glass material has many fine chemical, physical and mechanical properties. It is widely used in high-technology fields such as aerospace, optics and biomedical. However, glass is known as difficult to machine material because of its tendency to brittle fracture during machining. In order to produce part with a good surface quality, glass is processed in liquid or viscous state. Conventional machining results in poor surface quality and sometimes fracture of the part. This study investigated the applicability of micro milling method in processing of glass material. The effect of cutting parameters, such as cutting speed, feedrate, depth of cut and lead angle on generated surface quality and cutting forces was evaluated via surface examination under an optical microscope and cutting force measurements with dynamometer. Experimental results showed that selection of right cutting parameters is extremely important and it has a direct effect on cutting mechanism, cutting forces and generated surface quality. An evaluation of machined samples showed that the generated surface quality drastically decreased with the increase in the amount of removed material. Lower depth of cut and feedrate resulted in less cracks formed on machined surface. Additionally, it was observed that the increase in cutting speed resulted in better surface quality. The best surface quality of machined soda-lime glass sample was obtained at cutting speed 10 m/min, feed per tooth 1 µm/tooth and depth of cut 10 µm cutting parameters, respectively.
Kh. R. Mamedov,F. A. Cetinkaya 장전수학회 2014 Advanced Studies in Contemporary Mathematics Vol.24 No.4
In this paper the direct scattering problem with the Sturm-Liouville operator on the half line [0,+∞ is investigated. Some spectral properties are given. The resolvent operator is defined. The expansion formula with respect to eigenfunctions is given and equivalence between this formula and Parseval equality is shown.
Khanlar R. Mamedov 대한수학회 2009 대한수학회지 Vol.46 No.6
The inverse scattering problem is investigated for some second order differential equation with a nonlinear spectral parameter in the boundary condition on the half line [0,∞). In the present paper the coefficient of spectral parameter is not a pure imaginary number and the boundary value problem is not selfadjoint. We define the scattering data of the problem, derive the main integral equation and show that the potential is uniquely recovered. The inverse scattering problem is investigated for some second order differential equation with a nonlinear spectral parameter in the boundary condition on the half line [0,∞). In the present paper the coefficient of spectral parameter is not a pure imaginary number and the boundary value problem is not selfadjoint. We define the scattering data of the problem, derive the main integral equation and show that the potential is uniquely recovered.
Ozer, Zafer,Kurtoglu, Cem,Mamedov, Amirullah M.,Ozbay, Ekmel Korean Academy of Dental Science 2015 Journal of korean dental science Vol.8 No.1
Purpose: To investigate the influence of crown margin design on the stress distribution and to localize critical sites in maxillary canine under functional loading by using three dimensional finite element analysis. Materials and Methods: The bite force of 100 N, 150 N, and 200 N was applied with an angulation of $45^{\circ}$ to the longitudinal axis of tooth. Six models were restored with IPS e.max (Ivoclar Vivadent, Schaan, Liechtenstein) with a different margin design. With lingual ledge and various thicknesses, three different core ceramics were designed in each model. Result: In the core ceramic, the maximum tensile stresses were found at the labiocervical region. In the veneering ceramic the maximum tensile stresses were found at the area where the force was applied in all models. Conclusion: Shoulder and chamfer margin types are acceptable for all-ceramic rehabilitations. A ledge on the core ceramic at cervical region may affect the strength of all-ceramic crowns.
Nucleon mass splitting in the isospin medium
Lee, Bum-Hoon,Mamedov, Shahin,Park, Chanyong World Scientific Publishing Company 2014 International Journal of Modern Physics A Vol.29 No.29
<P>Using the AdS/CFT correspondence, we investigate a nucleon mass splitting and pion-nucleon coupling in the isospin medium. We find that there exists a nucleon mass splitting which is exactly given by the half of the meson mass splitting because nucleon has the half isospin charge of the charged mesons. In addition, we also investigate the pion-nucleon and four pion interactions which requires the modification of the known Abelian-type unitary gauge fixing because of the non-Abelian structure of the isospin medium. After finding the non-Abelian unitary gauge fixing, we find that in the isospin medium the couplings only for π<SUP>0</SUP> π<SUP>0</SUP> π<SUP>+</SUP> π<SUP>-</SUP> and π<SUP>0</SUP> π<SUP>0</SUP>π<SUP>0</SUP> π<SUP>0</SUP> of four pion interactions shift, while there is no pion-nucleon coupling splitting in spite of the nucleon's and meson's mass splittings.</P>
Murat Demiral,Fethi Abbassi,Ali Mamedov 대한기계학회 2022 JOURNAL OF MECHANICAL SCIENCE AND TECHNOLOGY Vol.36 No.4
The micro cutting process differs significantly from its counter partner - the macro-cutting process - due to the fact that the uncut chip thickness is comparable with the crystal size of the workpiece and the cutting edge radius. In this study, the effects of cutting tool geometry including its nose radius and rake angle as well as its frictional behavior against the workpiece on the deformation characteristics of the single crystal were investigated extensively. To this end, a three-dimensional hybrid finite-element smoothed particle hydrodynamics model of micro-cutting of face centered cubic copper was developed, where its behavior was simulated using a crystal-plasticity theory, implemented through a VUMAT Fortran subroutine in ABAQUS/Explicit. The model was verified using the experimentally obtained specific cutting energy, available in the literature. The total shear strain accumulated on all slip systems, the individual contributions of different slip systems, the shear angle, the ploughing force and maximum principal stress were evaluated for the varying parameters mentioned above.