The Experts below are selected from a list of 288315 Experts worldwide ranked by ideXlab platform
S Pakuliak - One of the best experts on this subject based on the ideXlab platform.
-
a computation of an universal Weight Function for the quantum affine algebra u_q hat mathfrak gl _n
arXiv: Quantum Algebra, 2007Co-Authors: S M Khoroshkin, S PakuliakAbstract:We compute an universal Weight Function (off-shell Bethe vectors) in any representation with a Weight singular vector of the quantum affine algebra $U_q(\hat{\mathfrak{gl}}_N)$ applying the method of projections of Drinfeld currents developed in arXiv:math/0610398.
-
on the universal Weight Function for the quantum affine algebra u_q hat mathfrak gl _n
arXiv: Quantum Algebra, 2007Co-Authors: A Oskin, S Pakuliak, A SilantyevAbstract:We continue investigation of the universal Weight Function for the quantum affine algebra $U_q(\hat{\mathfrak{gl}}_N)$ started in arXiv:math/0610517 and arXiv:0711.2819. We obtain two recurrence relations for the universal Weight Function applying the method of projections developed in arXiv:math/0610398. On the level of the evaluation representation of $U_q(\hat{\mathfrak{gl}}_N)$ we reproduce both recurrence relations for the off-shell Bethe vectors calculated in arXiv:math/0702277 using combinatorial methods.
-
Weight Function for the quantum affine algebra u_q hat sl _3
arXiv: Quantum Algebra, 2006Co-Authors: S M Khoroshkin, S PakuliakAbstract:We give a precise expression for the universal Weight Function of the quantum affine algebra $U_q(\hat{sl}_3)$. The calculations use the technique of projecting products of Drinfeld currents on the intersections of Borel subalgebras.
-
Weight Function for the quantum affine algebra u q widehat mathfrak s mathfrak l _3
Theoretical and Mathematical Physics, 2005Co-Authors: S Pakuliak, S M KhoroshkinAbstract:We give a precise expression for the universal Weight Function of the quantum affine algebra U q ( $$\widehat{\mathfrak{s}\mathfrak{l}}_3$$ ). The calculations use the technique of projecting products of Drinfeld currents on the intersections of Borel subalgebras.
S M Khoroshkin - One of the best experts on this subject based on the ideXlab platform.
-
a computation of an universal Weight Function for the quantum affine algebra u_q hat mathfrak gl _n
arXiv: Quantum Algebra, 2007Co-Authors: S M Khoroshkin, S PakuliakAbstract:We compute an universal Weight Function (off-shell Bethe vectors) in any representation with a Weight singular vector of the quantum affine algebra $U_q(\hat{\mathfrak{gl}}_N)$ applying the method of projections of Drinfeld currents developed in arXiv:math/0610398.
-
Weight Function for the quantum affine algebra u_q hat sl _3
arXiv: Quantum Algebra, 2006Co-Authors: S M Khoroshkin, S PakuliakAbstract:We give a precise expression for the universal Weight Function of the quantum affine algebra $U_q(\hat{sl}_3)$. The calculations use the technique of projecting products of Drinfeld currents on the intersections of Borel subalgebras.
-
Weight Function for the quantum affine algebra u q widehat mathfrak s mathfrak l _3
Theoretical and Mathematical Physics, 2005Co-Authors: S Pakuliak, S M KhoroshkinAbstract:We give a precise expression for the universal Weight Function of the quantum affine algebra U q ( $$\widehat{\mathfrak{s}\mathfrak{l}}_3$$ ). The calculations use the technique of projecting products of Drinfeld currents on the intersections of Borel subalgebras.
Rahmatollah Ghajar - One of the best experts on this subject based on the ideXlab platform.
-
stress intensity factors calculation for surface crack in cylinders under longitudinal gradient pressure using general point load Weight Function
Fatigue & Fracture of Engineering Materials & Structures, 2014Co-Authors: Saeidi H Googarchin, Rahmatollah GhajarAbstract:General point load Weight Function (GPLWF) for a longitudinal semi-elliptical crack in a thick-walled cylinder with outer radius to inner radius ratio of 1.25 is derived. GPLWF is used to calculate stress intensity factors (SIFs) for any point along the crack front with the crack faces subjected to uniform and longitudinal gradient internal pressure. The comparison between the results obtained from the GPLWF and those available in the literature is presented, indicating an acceptable accuracy. The proposed GPLWF can be easily used in order to calculate SIFs for surface crack in cylinders subjected to any longitudinal gradient mechanical and thermal load to determine the pattern of crack growth and estimate the fatigue life.
-
general point load Weight Function for semi elliptical crack in finite thickness plates
Engineering Fracture Mechanics, 2013Co-Authors: Rahmatollah Ghajar, Hamed Saeidi GoogarchinAbstract:Abstract General point load Weight Function for semi-elliptical crack in finite thickness plates is derived. It is used to calculate stress intensity factors for any point along the crack front with the crack faces under two dimensional stress distributions. The comparison between the results obtained from the derived Weight Function and those available in literature is presented, indicating a good accuracy. In order to determine the pattern of crack growth, and to estimate fatigue life, this Weight Function can be easily used in plates as applied in industry under complicated stress fields such as residual stress field due to welding.
-
analysis of thermal stress intensity factors for cracked cylinders using Weight Function method
International Journal of Engineering Science, 2010Co-Authors: S M Nabavi, Rahmatollah GhajarAbstract:In this paper a general Weight Function was derived to evaluate the thermal stress intensity factors of a circumferential crack in cylinders. The Weight Function derived is valid for a wide range of thin- to thick-walled cylinders and relative crack depth. Closed-form stress intensity factor based on the Weight Function method was derived as a Function of the Biot number and relative depth and various inner-to-outer radius ratios of cylinders. The accuracy of the analysis has been examined using the finite element method results and were compared to existing solutions for uniform loading in the literature for special geometries, indicating an excellent agreement.
A Silantyev - One of the best experts on this subject based on the ideXlab platform.
-
on the universal Weight Function for the quantum affine algebra u_q hat mathfrak gl _n
arXiv: Quantum Algebra, 2007Co-Authors: A Oskin, S Pakuliak, A SilantyevAbstract:We continue investigation of the universal Weight Function for the quantum affine algebra $U_q(\hat{\mathfrak{gl}}_N)$ started in arXiv:math/0610517 and arXiv:0711.2819. We obtain two recurrence relations for the universal Weight Function applying the method of projections developed in arXiv:math/0610398. On the level of the evaluation representation of $U_q(\hat{\mathfrak{gl}}_N)$ we reproduce both recurrence relations for the off-shell Bethe vectors calculated in arXiv:math/0702277 using combinatorial methods.
Changsun Hong - One of the best experts on this subject based on the ideXlab platform.
-
approximate Weight Function technique using single layer potential for a cracked circular disc
Engineering Analysis With Boundary Elements, 1994Co-Authors: Hyeongyeon Lee, Changsun HongAbstract:Abstract An efficient Weight Function technique using the indirect boundary integral method was presented for cracked circular discs. The crack opening displacement field was presented by a single layer whose kernel was a modified form of the fundamental solution in elastostatics. The application of a single-layer potential to the Weight Function method leads to a unique closed-form SIF (stress intensity factor) solution. The solution can be applied to a cracked circular discs with or without an internal hole or opening. For these crack geometries over a wide range of crack ratios, the SIF solution can be applied without any modification. The calculation procedure of SIFs for the various cracked circular discs using only one analytical solution is very simple and straightforward. The information necessary in the analysis includes only two or three reference load cases. In most cases the SIF solution using two reference SIFs gives reasonably accurate results while the SIF solution with three reference load cases may be used to improve the solution accuracy of the crack configurations, with an internal opening or hole, compared with the solutions of the available literature.
