C.A. Coulson's work on a contour-integral approach to the London theory of magnetic susceptibility of conjugated molecules

1989 ◽  
Vol 3 (4) ◽  
pp. 323-342 ◽  
Author(s):  
Brian O'Leary ◽  
R. B. Mallion
Keyword(s):  
Magnetic Susceptibility ◽  
Contour Integral ◽  
Integral Approach ◽  
Conjugated Molecules ◽  
London Theory

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
Keyword(s):  
Contour Integral ◽  
Integral Approach

Application of XFEM to Model Stationary Crack and Crack Propagation for Pressure Containing Subsea Equipment

2016 ◽  
Author(s):  
Sam (Kwok Lun) Lee ◽  
David Martin
Keyword(s):  
Finite Element ◽  
Crack Propagation ◽  
Crack Growth ◽  
Displacement Field ◽  
Internal Surface ◽  
Contour Integral ◽  
Integral Approach ◽  
Thick Wall ◽  
Element Mesh ◽  
Integrity Assessment

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.

MAGNETIC SUSCEPTIBILITY AND ANISOTROPY OF THE ORGANIC SUPERCONDUCTOR (TMTSF)2ClO4

1983 ◽  
Vol 44 (C3) ◽  
pp. C3-893-C3-901 ◽  
Author(s):  
M. Miljak ◽  
J. R. Cooper ◽  
K. Bechgaard
Keyword(s):  
Magnetic Susceptibility ◽  
Organic Superconductor
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