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Articles 1 - 4 of 4
Full-Text Articles in Social and Behavioral Sciences
The Resolvent Cocycle In Twisted Cyclic Cohomology And A Local Index Formula For The Podle's Sphere, Adam Rennie, Roger Senior
The Resolvent Cocycle In Twisted Cyclic Cohomology And A Local Index Formula For The Podle's Sphere, Adam Rennie, Roger Senior
Faculty of Engineering and Information Sciences - Papers: Part A
We continue the investigation of twisted homology theories in the context of dimension drop phenomena. This work unifies previous equivariant index calculations in twisted cyclic cohomology. We do this by proving the existence of the resolvent cocycle, a finitely summable analogue of the JLO cocycle, under weaker smoothness hypotheses and in the more general setting of 'modular' spectral triples. As an application we show that using our twisted resolvent cocycle, we can obtain a local index formula for the Podles sphere. The resulting twisted cyclic cocycle has non-vanishing Hochschild class which is in dimension 2.
Closure To "Deformation Of Coal Fouled Ballast Stabilized With Geogrid Under Cyclic Load" By Buddhima Indraratna, Ngoc Trung Ngo, And Cholachat Rujikiatkamjorn, Buddhima Indraratna, Ngoc Trung Ngo, Cholachat Rujikiatkamjorn
Closure To "Deformation Of Coal Fouled Ballast Stabilized With Geogrid Under Cyclic Load" By Buddhima Indraratna, Ngoc Trung Ngo, And Cholachat Rujikiatkamjorn, Buddhima Indraratna, Ngoc Trung Ngo, Cholachat Rujikiatkamjorn
Faculty of Engineering and Information Sciences - Papers: Part A
The writers highly appreciate the keen feedback provided by the discusser and also for raising some other important aspects of the experimental program. While the writers are in general agreement with the discusser’s comments, some points warrant further clarification.
Numerical Analysis Of High-Strength Concrete-Filled Steel Tubular Slender Beam-Columns Under Cyclic Loading, Vipulkumar Patel, Qing Quan Liang, Muhammad N. S Hadi
Numerical Analysis Of High-Strength Concrete-Filled Steel Tubular Slender Beam-Columns Under Cyclic Loading, Vipulkumar Patel, Qing Quan Liang, Muhammad N. S Hadi
Faculty of Engineering and Information Sciences - Papers: Part A
The effects of cyclic local buckling on the behavior of concrete-filled steel tubular (CFST) slender beam-columns under cyclic loading were approximately considered in existing analytical methods by modifying the stress– strain curve for the steel tube in compression. These methods, however, cannot simulate the progressive cyclic local buckling of the steel tubes. This paper presents a new efficient numerical model for predicting the cyclic performance of high strength rectangular CFST slender beam-columns accounting for the effects of progressive cyclic local buckling of steel tube walls under stress gradients. Uniaxial cyclic constitutive laws for the concrete core and steel tubes are …
Behaviour Of Clay-Fouled Ballast Under Cyclic Loading, Nayoma Tennakoon, Buddhima Indraratna
Behaviour Of Clay-Fouled Ballast Under Cyclic Loading, Nayoma Tennakoon, Buddhima Indraratna
Faculty of Engineering and Information Sciences - Papers: Part A
Expansion of the rail network in congested coastal Australia compels track construction on soft clayey subgrade, including fine-grained estuarine soils. In such low-lying areas, where the water table is close to the ground surface, the saturated soft subgrade is often subjected to pumping (mud slurry) under the application of cyclic wheel loads, thereby causing fouling of the overlying ballast. This technical note presents the results of a series of large-scale, drained, cyclic, triaxial tests conducted on clay-fouled ballast. The impact of fouling on the stress-strain behaviour, resilient modulus and degradation of ballast is discussed.