scholarly journals A contour integral approach to the computation of invariant pairs

2017 ◽  
Vol 681 ◽  
pp. 3-26
Author(s):  
Moulay Barkatou ◽  
Paola Boito ◽  
Esteban Segura Ugalde
Author(s):  
Sam (Kwok Lun) Lee ◽  
David Martin

The extended finite element method (XFEM) [1, 2] can approximate the discontinuous displacement field near cracks independently of the finite element mesh through the use of interpolation functions, which can describe the displacement field near cracks in the structure. Therefore, XFEM is appearing as an alternative to conventional contour integral method for crack growth analysis. Most benchmarks for XFEM in published literature were mostly for the through-wall crack or loadings were under tension or bending moment. Subsea equipment provided by FMC Technologies is used under the most extreme conditions of pressure and temperature. Due to the fact that most equipment in subsea is pressure containing, assessment of cracks and crack growth under pressure cycles is an essential part of the integrity assessment. The implementation of fracture mechanic based fatigue to analysis can extend equipment life while improving model accuracy. In this paper, crack growth modelling in a thick wall cylinder was performed by XFEM embedded in Abaqus [3]. The case study of semi-elliptical axial surface crack at internal surface was selected. The fracture and fatigue results based on LCF analysis were compared with contour integral approach and published experimental data [4]. One of the advantages of XFEM is it can easily accommodate changes in the crack propagation direction for mixed mode loading.


2017 ◽  
Vol 1 (6) ◽  
pp. 1 ◽  
Author(s):  
Dr. P. K. Kar

Gandhiji’s method of conflict resolution was based on truth and non-violence. Truth was for him the image of God. He did not believe in personal God. For Gandhi truth is God and God is truth. Life is a laboratory where experiments are carried on. That is why he named his autobiography “My Experiment with Truth”, without these experiments truth cannot be achieved. According to Gandhi, the sayings of a pure soul which possesses nonviolence, non-stealing, true speech, celibacy and non-possession is truth. The truth of Gandhiji was not confined to any country or community. In other words , his religion had no geographical limits. His patriotism was not different from the service of human beings but was its part and parcel(Mishra:102). Gandhiji developed an integral approach and perspective to the concept of life itself on the basis of experience and experiments. His ideas ,which came to be known to be his philosophy, were a part of his relentless search for truth(Iyer:270). The realization of this truth is possible only with the help of non-violence The negative concept of Ahimsa presupposes the absence of selfishness, jealousy and anger, but the positive conception of ahimsa demands the qualities of love ,liberalism, patience, resistance of injustice, and brutal force.


2018 ◽  
Vol 52 ◽  
pp. 77 ◽  
Author(s):  
María Beatriz Duarte-Gómez ◽  
Silvia Magali Cuadra-Hernández ◽  
Myriam Ruiz-Rodríguez ◽  
Armando Arredondo ◽  
Jesús David Cortés-GilI

OBJECTIVE: To analyze the impacts of the care to the population displaced by violence on the health system and the challenges that this entails. METHODS: This is a narrative review of the national and international literature in PubMed, SciELO, WHO/PAHO, and Bireme. Inclusion criteria were date of publication ( from 2000), relation with the subject, and language (Spanish or English). We found 292 documents, of which 91 met the inclusion criteria. RESULTS: The main challenges are the intersectoral, participatory, and integral approach (with emphasis on mental health and sexual and reproductive health), ensured accessibility to health services, the need for a reliable registration and information system of the population displaced by violence and its characteristics, and the addressing of the biopsychosocial problems of the different groups, especially women, persons with disabilities or infectious diseases, adolescents, children, ethnic minorities, older adults and the lesbian, gay, bisexual, transsexual, and intersexual population. CONCLUSIONS: The lack of political will to accept and see the internal displacement by violence and its importance as a humanitarian and public health problem is an obstacle to the adequate and timely care of the population displaced by violence in Mexico.


2002 ◽  
Vol 29 (11) ◽  
pp. 1843-1848 ◽  
Author(s):  
A. Rozanov ◽  
V. Rozanov ◽  
J.P. Burrows
Keyword(s):  

Author(s):  
Kazutoshi Ohta ◽  
Norisuke Sakai

Abstract We study the moduli space volume of BPS vortices in quiver gauge theories on compact Riemann surfaces. The existence of BPS vortices imposes constraints on the quiver gauge theories. We show that the moduli space volume is given by a vev of a suitable cohomological operator (volume operator) in a supersymmetric quiver gauge theory, where BPS equations of the vortices are embedded. In the supersymmetric gauge theory, the moduli space volume is exactly evaluated as a contour integral by using the localization. Graph theory is useful to construct the supersymmetric quiver gauge theory and to derive the volume formula. The contour integral formula of the volume (generalization of the Jeffrey-Kirwan residue formula) leads to the Bradlow bounds (upper bounds on the vorticity by the area of the Riemann surface divided by the intrinsic size of the vortex). We give some examples of various quiver gauge theories and discuss properties of the moduli space volume in these theories. Our formula are applied to the volume of the vortex moduli space in the gauged non-linear sigma model with CPN target space, which is obtained by a strong coupling limit of a parent quiver gauge theory. We also discuss a non-Abelian generalization of the quiver gauge theory and “Abelianization” of the volume formula.


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