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Опубліковано: 14 березня 2023

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Статті в журналах з теми "Sheaves on surfaces"

1

Qin, Zhenbo. "Simple sheaves versus stable sheaves on algebraic surfaces." Mathematische Zeitschrift 209, no. 1 (January 1992): 559–79. http://dx.doi.org/10.1007/bf02570854.

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2

Hille, Lutz, and Markus Perling. "Exceptional sequences of invertible sheaves on rational surfaces." Compositio Mathematica 147, no. 4 (March 18, 2011): 1230–80. http://dx.doi.org/10.1112/s0010437x10005208.

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AbstractIn this article we consider exceptional sequences of invertible sheaves on smooth complete rational surfaces. We show that to every such sequence one can associate a smooth complete toric surface in a canonical way. We use this structural result to prove various theorems on exceptional and strongly exceptional sequences of invertible sheaves on rational surfaces. We construct full strongly exceptional sequences for a large class of rational surfaces. For the case of toric surfaces we give a complete classification of full strongly exceptional sequences of invertible sheaves.
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3

HALIC, MIHAI, and ROSHAN TAJAROD. "A cohomological splitting criterion for locally free sheaves on arithmetically Cohen–Macaulay surfaces." Mathematical Proceedings of the Cambridge Philosophical Society 155, no. 3 (July 3, 2013): 517–27. http://dx.doi.org/10.1017/s0305004113000406.

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AbstractIn this paper we obtain a cohomological splitting criterion for locally free sheaves on arithmetically Cohen–Macaulay surfaces with cyclic Picard group, which is similar to Horrocks' splitting criterion for locally free sheaves on projective spaces. We also recover a duality property which identifies a general K3 surface with a certain moduli space of stable sheaves on it, and obtain examples of stable, arithmetically Cohen–Macaulay, locally free sheaves of rank two on general surfaces of degree at least five in ${\mathbb P}^3$.
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4

Scalise, Jacopo Vittorio. "Framed symplectic sheaves on surfaces." International Journal of Mathematics 29, no. 01 (January 2018): 1850007. http://dx.doi.org/10.1142/s0129167x18500076.

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A framed symplectic sheaf on a smooth projective surface [Formula: see text] is a torsion-free sheaf [Formula: see text] together with a trivialization on a divisor [Formula: see text] and a morphism [Formula: see text] satisfying some additional conditions. We construct a moduli space for framed symplectic sheaves on a surface, and present a detailed study for [Formula: see text]. In this case, the moduli space is irreducible and admits an ADHM-type description and a birational proper map onto the space of framed symplectic ideal instantons.
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5

Göttsche, Lothar, and Martijn Kool. "Sheaves on surfaces and virtual invariants." Surveys in Differential Geometry 24, no. 1 (2019): 67–116. http://dx.doi.org/10.4310/sdg.2019.v24.n1.a3.

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6

Rutherford, Dan, and Michael Sullivan. "Sheaves via augmentations of Legendrian surfaces." Journal of Homotopy and Related Structures 16, no. 4 (October 9, 2021): 703–52. http://dx.doi.org/10.1007/s40062-021-00292-6.

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7

Kuleshov, S. A., and D. O. Orlov. "EXCEPTIONAL SHEAVES ON DEL PEZZO SURFACES." Russian Academy of Sciences. Izvestiya Mathematics 44, no. 3 (June 30, 1995): 479–513. http://dx.doi.org/10.1070/im1995v044n03abeh001609.

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8

Shvartsman, O. V. "FreeG-sheaves on closed Riemann surfaces." Russian Mathematical Surveys 54, no. 6 (December 31, 1999): 1263–64. http://dx.doi.org/10.1070/rm1999v054n06abeh000246.

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9

Bertram, Aaron, and Cristian Martinez. "Change of Polarization for Moduli of Sheaves on Surfaces as Bridgeland Wall-crossing." International Mathematics Research Notices 2020, no. 7 (April 25, 2018): 2007–33. http://dx.doi.org/10.1093/imrn/rny065.

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Abstract We prove that the “Thaddeus flips” of L-twisted sheaves constructed by Matsuki and Wentworth explaining the change of polarization for Gieseker semistable sheaves on a surface can be obtained via Bridgeland wall-crossing. Similarly, we realize the change of polarization for moduli spaces of one-dimensional Gieseker semistable sheaves on a surface by varying a family of stability conditions.
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10

Yoshioka, Kōta. "Some notes on the moduli of stable sheaves on elliptic surfaces." Nagoya Mathematical Journal 154 (1999): 73–102. http://dx.doi.org/10.1017/s0027763000025319.

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AbstractIn this paper, we shall consider the birational structure of moduli of stable sheaves on elliptic surfaces, which is a generalization of Friedman’s results to higher rank cases. As applications, we show that some moduli spaces of stable sheaves on ℙ2 are rational. We also compute the Picard groups of those on Abelian surfaces.
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Дисертації з теми "Sheaves on surfaces"

1

Castellacci, Giuseppe. "Invertible sheaves on generic rational surfaces and a conjecture of Hirschowitz's." Thesis, Massachusetts Institute of Technology, 1996. http://hdl.handle.net/1721.1/38404.

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2

Bridgeland, Tom. "Fourier-Mukai transforms for surfaces and moduli spaces of stable sheaves." Thesis, University of Edinburgh, 2002. http://hdl.handle.net/1842/12070.

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In this thesis we study Fourier-Mukai transforms for complex projective surfaces. Extending work of A.I. Bondal and D.O. Orlov, we prove a theorem giving necessary and sufficient conditions for a functor between the derived categories of sheaves on two smooth projective varieties to be an equivalence of categories, and use it to construct examples of Fourier-Mukai transforms for surfaces. In particular we construct new transforms for elliptic surfaces and quotient surfaces. This enables us to identify all pairs of complex projective surfaces having equivalent derived categories of sheaves. We also derive some general properties of Fourier-Mukai transforms, and gives examples of their use. The main applications are to the study of moduli spaces of stable sheaves. In particular we identify many such moduli spaces on elliptic surfaces, generalising results of R. Friedman.
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3

Neuman, William Albert. "Determination of surface plasma structures in the kinetic regime." Diss., The University of Arizona, 1988. http://hdl.handle.net/10150/184326.

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Анотація:
A numerical study is done of a plasma in contact with a cold solid surface that is emitting a neutral gas. Two numerical models have been developed to describe the dominant phenomena of surface plasma structures. The first model entails a steady-state, kinetic treatment of the transport equations in one space dimension and one velocity dimension, to determine self-consistently the distribution functions of the interacting species and the electrostatic potential near the solid surface. The dominant phenomena in this region are the ionization of the neutral gas and the acceleration of the resulting ions by the electrostatic field in a pre-sheath region. Other effects involved are a Debye sheath structure between the solid surface and pre-sheath, and collisional trapping and untrapping of electrons in an electrostatic potential well that is predicted in the pre-sheath region. Results are presented from a nondimensional model with a monatomic returning neutral species and for diatomic molecular hydrogen returning from the surface. For each set of physical parameters chosen, a one parameter family of solutions is obtained. The second numerical model involves a steady-state treatment of the transport equations in a (x,v∥,v⊥) phase space for the interacting species. Included in this model are ionization of the refluxing monatomic neutrals, a self-consistently determined electrostatic potential and a nonlinear Fokker-Planck treatment of ion-ion Coulomb collisions. Both the region near the surface dominated by kinetic effects and the region away from the surface in which Coulomb collisional effects are significant are treated. Results are presented which identify the correct physical solution for the region near the surface from the permitted family found with the kinetic model. Additionally, results are shown which span a temperature range from the high temperature kinetic regime where Coulomb collisional effects are negligible, to the low temperature, highly collisional fluid regime. At low temperatures the collisional model agrees well with standard fluid techniques.
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Ahmed, Selver. "FORMATION, DYNAMICS AND CHARACTERIZATION OF SUPPORTED LIPID BILAYERS ON SiO2 NANOPARTICLES." Diss., Temple University Libraries, 2012. http://cdm16002.contentdm.oclc.org/cdm/ref/collection/p245801coll10/id/213126.

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Анотація:
Chemistry
Ph.D.
This work is devoted to understanding the formation of supported lipid bilayers (SLBs) on curved surfaces as a function of lipid properties such as headgroup charge/charge density and alkyl chain length, and nanoparticle properties such as size and surface characteristics. In particular, the formation of SLBs on curved surfaces was studied by varying the size of the underlying substrate SiO2 nanoparticles with size range from 5-100 nm. Curvature-dependent shift in the phase transition behavior of these supported lipid bilayers was observed for the first time. We found that the phase transition temperature, Tm of the SLBs first decreased with decreasing the size of the underlying support, reached a minimum, and then increased when the size of the particles became comparable with the dimensions of the lipid bilayer thickness; the Tm was above that of the multilamellar vesicles (MLVs) of the same lipids. The increase in Tm indicated a stiffening of the supported bilayer, which was confirmed by Raman spectroscopic data. Moreover, Raman data showed better lipid packing and increased lateral order and trans conformation for the SLBs with increasing the curvature of the underlying support and decrease of the gauche kinks for the terminal methyl groups at the center of the bilayer. These results were consistent with a model in which the high free volume and increased outer headgroup spacing of lipids on highly curved surfaces induced interdigitation in the supported lipids. These results also support the symmetric lipid exchange studies of the SLBs as a function of the curvature, which was found to be slower on surfaces with higher curvature. Further, the effect of surface properties on the formation of SLBs was studied by changing the silanol density on the surface of SiO2 via thermal/chemical treatment and monitoring fusion of zwitterionic lipids onto silica (SiO2) nanoparticles. Our findings showed that the formation of SLBs was faster on the surfaces with lower silanol density and concomitantly less bound water compared to surfaces with higher silanol density and more bound water. Since the two SiO2 nanoparticles were similar in other respects, in particular their size and charge (ionization), as determined by zeta potential measurements, differences in electrostatic interactions between the neutral DMPC and SiO2 could not account for the difference. Therefore the slower rate of SLB formation of DMPC onto SiO2 nanoparticles with higher silanol densities and more bound water was attributed to greater hydration repulsion of the more hydrated nanoparticles. Lastly, we have investigated the effect and modulation of the surface charge of vesicles on the formation of SLBs by using different ratios of zwitterionic and cationic DMPC/DMTAP lipids. Through these studies we discovered a procedure by which assemblies of supported lipid bilayer nanoparticles, composed of DMPC/DMTAP (50/50) lipids on SiO2, can be collected and released from bilayer sacks as a function of the phase transition of these lipids. The lipids in these sacks and SLBs could be exchanged by lipids with lower Tm via lipid transfer.
Temple University--Theses
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5

Simon, Amélie. "Modélisation des phénomènes de films liquides dans les turbines à vapeur." Thesis, Lyon, 2017. http://www.theses.fr/2017LYSEC001/document.

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Dans la production d'électricité, un des leviers centraux pour réduire les détériorations et les pertes causées par l'humidité dans les turbines à vapeur est l'étude des films liquides. Ces films minces, sont créés par la déposition de gouttes et sont fortement cisaillés. Des gouttes peuvent ensuite être arrachées du film. A l'heure actuelle, aucun modèle complet et valide n'existe pour décrire ce phénomène. Un modèle 2D à formulation intégrale associé à des lois de fermetures a été dérivé pour représenter ce film. Comparé aux équations classiques de Saint-Venant, le modèle prend en compte davantage d'effets : le transfert de masse, l'impact des gouttes, le cisaillement à la surface libre, la tension de surface, le gradient de pression et la rotation. Une analyse des propriétés du modèle (hyperbolicité, entropie, conservativité, analyse de stabilité linéaire, invariance par translation et par rotation) est réalisée pour juger de la pertinence du modèle. Un nouveau code 2D est implémenté dans un module de développement libre du code EDF Code Saturne et une méthode de volumes finis pour un maillage non-structure a été développée. La vérification du code est ensuite effectuée avec des solutions analytiques dont un problème de Riemann. Le modèle, qui dégénère en modèle classique de Saint-Venant pour le cas d'un film tombant sur un plan inclinée, est validé par l'expérience de Liu and Gollub, 1994, PoF et comparé à des modèles de références (Ruyer-Quil and Manneville, 2000, EPJ-B et Lavalle, 2014, PhD thesis). Un autre cas d'étude met en scène un film cisaillé en condition basse-pression de turbine à vapeur et, est validé par l'expérience de Hammitt et al., 1981, I. Enfin, le code film est couplé aux données 3D du champ de vapeur autour d'un stator d'une turbine basse-pression du parc EDF, issues de Blondel, 2014, PhD thesis. Cette application industrielle montre la faisabilité d'une simulation d'un film en condition réelle du turbine à vapeur
In the electricity production, one central key to reduce damages and losses due to wetness in steam turbines is the study of liquid films. These thin films are created by the deposition of droplets and are highly sheared. This film may then be atomized into coarse water. At the moment, no comprehensive and validated model exists to describe this phenomenon. A 2D model based on a integral formulation associated with closure laws is developed to represent this film. Compared to classical Shallow-Water equation, the model takes into account additional effect : mass transfer, droplet impact, shearing at the free surface, surface tension, pressure gradient and the rotation. The model properties (hyperbolicity, entropy, conservativity, linear stability, Galilean invariance and rotational invariance) has been analyzed to judge the pertinence of the model. A new 2D code is implemented in a free module of the code EDF Code Saturne and a finite volume method for unstructured mesh has been developed. The verification of the code is then carried out with analytical solutions including a Riemann problem. The model, which degenerates into classical Shallow-Water equations for the case of a falling liquid film on a inclined plane, is validated by the experiment of Liu and Gollub, 1994, PoF and compared to reference models (Ruyer-Quil and Manneville, 2000, EPJ-B et Lavalle, 2014, PhD thesis). Another study depicts a sheared film under low-pressure steam turbine conditions and is validated by the experiment of Hammitt et al., 1981, FiI. Lastly, the code film is coupled to 3D steam data around a fixed blade of a BP100 turbine, from Blondel, 2014, PhD thesis. This industrial application shows the feasibility of liquid film's simulation in real steam turbine condition
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6

Ayet, Alex. "Flux de quantité de mouvement à l'interface air-mer : approche théorique du couplage entre turbulence et vagues de vent On the Impact of Long Wind-Waves on Near-Surface Turbulence and Momentum Fluxes, in Boundary-Layer Meteorology volume 174, March 2020 Scalewise return to isotropy in stratified boundary layer flows, in JGR Atmospheres 125 (16), August 2020 Scaling laws for the length scale of energy‐containing eddies in a sheared and thermally stratified atmospheric surface layer, in Geophysical Research Letters 47(23), December 2020." Thesis, Brest, 2020. http://www.theses.fr/2020BRES0038.

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Malgré de nombreuses études, le lien de causalité entre vent et vagues fait toujours l’objet de controverses : cela est dû entre autres au caractère multi-échelle d'une surface océanique réaliste, et à la présence de déferlements, qui modifient radicalement sa topologie. Dans cette thèse, ces deux questions sont abordées sous un angle théorique, à travers un modèle phénoménologique, qui relie les propriétés spectrales et moyennées de la turbulence proche de paroi en utilisant la géométrie de tourbillons attachés à celle-ci. La première partie de la thèse revisite ce modèle phénoménologique en questionnant ses hypothèses sous-jacentes et révèle, en particulier, des incohérences dans les modèles utilisés pour décrire le terme de redistribution d'énergie entre composantes turbulentes (modèle de Rotta). Le modèle phénoménologique est ensuite utilisé pour étudier le couplage entre vagues de vent longues (de l'ordre de 10m) et turbulence. Les résultats démontrent que la déformation des tourbillons attachés induite par cette interaction pourrait expliquer une partie de la variabilité des flux de quantité de mouvement à un vent moyen donné. Finalement, le couplage entre la turbulence et les vagues courtes et déferlantes est abordé en définissant une sous-couche rugueuse dans laquelle les propriétés des tourbillons attachés sont définies par la vitesse des fronts déferlants dominants pour un vent donné. Ces deux études posent les bases d'un nouveau paradigme, permettant d'étudier le couplage multi-échelle entre le spectre turbulent et le spectre des vagues. Celui-ci pourrait permettre de mieux prendre en compte l'influence de paramètres environnementaux sur les flux de quantité de mouvement et de chaleur. Il ouvre ainsi de nouvelles perspectives pour les études théoriques et pour l’exploration des données expérimentales
Despite numerous works, the causal link between wind and waves is still a controversial subject. This is due, among others, to the multi-scale nature of a realistic ocean surface and to wave breaking, which changes its topology. In this thesis, such problems are studied from a theoretical perspective, using a phenomenological model linking the spectral and averaged properties of wall-bounded turbulence through the geometry attached eddies.The first part of the thesis revisits this phenomenological model by questioning its underlying assumptions and, in particular, reveals inconsistencies in the models used for the energy redistribution between turbulence components (the Rotta model). The phenomenological model is then used to study the coupling between long wind-waves (of order 10m) and turbulence. Results indicate that the deformation of attached eddies, induced by this interaction, could explain some of the variability in momentum fluxes for a given mean wind. Finally, the study of the coupling between turbulence and short breaking waves is approached by defining a roughness sublayer, in which the properties of the attached eddies depend solely on the speed of the dominant breaking fronts for a given wind. These two studies from the basis of a new paradigm to study the multi-scale coupling between the turbulent and wave spectra. This would allow accounting for the influence of environmental parameters on momentum and heat fluxes, and opens new paths both from a theoretical perspective and for the analysis of experimental data
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Nevins, Thomas A. "Moduli spaces of framed sheaves on ruled surfaces /." 2000. http://gateway.proquest.com/openurl?url_ver=Z39.88-2004&res_dat=xri:pqdiss&rft_val_fmt=info:ofi/fmt:kev:mtx:dissertation&rft_dat=xri:pqdiss:9965126.

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Baranovsky, Vladimir. "Moduli of sheaves on surfaces and action of the oscillator algebra /." 2000. http://gateway.proquest.com/openurl?url_ver=Z39.88-2004&res_dat=xri:pqdiss&rft_val_fmt=info:ofi/fmt:kev:mtx:dissertation&rft_dat=xri:pqdiss:9965058.

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9

Zowislok, Markus [Verfasser]. "On moduli spaces of semistable sheaves on K3 surfaces / vorgelegt von Markus Zowislok." 2010. http://d-nb.info/1003549594/34.

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10

Chang, Chi-Kang, and 張繼剛. "Desingularized moduli spaces of torsion-free semistable sheaves on a K3 surface." Thesis, 2018. http://ndltd.ncl.edu.tw/handle/fufjab.

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Анотація:
碩士
國立臺灣大學
數學研究所
106
Abstract The aim of this article is to study Kieran G. O’Grady’s paper "Desingularized moduli spaces of sheaves on a K3" in 1998, where the author constructs the moduli space of rank two torsion-free semistable sheaves on a non-singular K3 surface with c1 = 0 and c2 = c a even number not less then 4. This moduli space is denoted by Mc, which is a G.I.T. quotient from the Quot-scheme and is singular. By using Kirwan’s method of successive blow ups of the strictly semistable loci with reductive stabilizer, one can obtain a desingularization Mcc of Mc. What’s surprising is that when c = 4, there is a Mori extremal divisorial contraction of Mc4 so that the outcome is a hyperk¨ahler manifold Mf4. Moreover, the natural map from Mf4 to M4 is a morphism and hence a simplectic desingularization of M4. The hyperk¨ahler manifold Mf4 is not birational/deformation equivalence to another two typical constructions of HK manifolds: the Hilbert schemes of points and Kummer varieties. Key words: moduli space of sheaves, semistable sheaves, geometric invariant theory, symplectic resolution, hyperk¨ahler variety.
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Книги з теми "Sheaves on surfaces"

1

Huybrechts, Daniel. The geometry of moduli spaces of sheaves. Braunschweig: Vieweg, 1997.

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2

Manfred, Lehn, ed. The geometry of moduli spaces of sheaves. 2nd ed. Cambridge, UK: Cambridge University Press, 2010.

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3

service), SpringerLink (Online, ed. Lectures on Algebraic Geometry I: Sheaves, Cohomology of Sheaves, and Applications to Riemann Surfaces. 2nd ed. Wiesbaden: Vieweg+Teubner Verlag / Springer Fachmedien Wiesbaden GmbH, Wiesbaden, 2012.

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4

Huybrechts, Daniel. The geometry of moduli spaces of sheaves. 2nd ed. Cambridge, UK: Cambridge University Press, 2010.

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5

service), SpringerLink (Online, ed. Lectures on algebraic geometry. Wiesbaden: Vieweg, 2008.

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6

Carruth, M. R. Surface voltage gradient role in high voltage solar array/plasma interactions. [Marshall Space Flight Center, Ala.]: National Aeronautics and Space Administration, George C. Marshall Space Flight Center, 1985.

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7

editor, Donagi Ron, Katz Sheldon 1956 editor, Klemm Albrecht 1960 editor, and Morrison, David R., 1955- editor, eds. String-Math 2012: July 16-21, 2012, Universität Bonn, Bonn, Germany. Providence, Rhode Island: American Mathematical Society, 2015.

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8

Nurwantoro, Pekik. A theoretical study of the surface nucleation field at H[inferior C3] and of superconducting surface sheaths in isotropic type-II superconductors. Birmingham: University of Birmingham, 1998.

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9

Pandharipande, Rahul. Maps, Sheaves and K3 Surfaces. Oxford University Press, 2017. http://dx.doi.org/10.1093/oso/9780198784913.003.0005.

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Анотація:
The conjectural equivalence of curve counting on Calami- Yau 3-folds via stable maps and stable pairs is discussed. By considering Cali-Yau 3-folds with K3 fibrations, the correspondence naturally connects curve and sheaf counting on K3 surfaces. New conjectures (with D. Maulik) about descendent integration on K3 surfaces are announced. The proof of the complete Yau-Zaslow conjecture is surveyed.
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10

Huybrechts, Daniel, and Manfred Lehn. Geometry of Moduli Spaces of Sheaves. Cambridge University Press, 2010.

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Частини книг з теми "Sheaves on surfaces"

1

Narasimhan, Raghavan. "Sheaves." In Compact Riemann Surfaces, 17–26. Basel: Birkhäuser Basel, 1992. http://dx.doi.org/10.1007/978-3-0348-8617-8_5.

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2

Kuleshov, S. A. "Rigid Sheaves on Surfaces." In Algebraic Geometry and its Applications, 85–104. Wiesbaden: Vieweg+Teubner Verlag, 1994. http://dx.doi.org/10.1007/978-3-322-99342-7_9.

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3

Sabbah, Claude. "Stokes-Perverse Sheaves on Riemann Surfaces." In Lecture Notes in Mathematics, 51–64. Berlin, Heidelberg: Springer Berlin Heidelberg, 2012. http://dx.doi.org/10.1007/978-3-642-31695-1_4.

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4

Huybrechts, Daniel, and Manfred Lehn. "Moduli Spaces on K3 Surfaces." In The Geometry of Moduli Spaces of Sheaves, 141–59. Wiesbaden: Vieweg+Teubner Verlag, 1997. http://dx.doi.org/10.1007/978-3-663-11624-0_6.

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Nikulin, Viacheslav V. "Self-Correspondences of K3 Surfaces via Moduli of Sheaves." In Algebra, Arithmetic, and Geometry, 439–64. Boston: Birkhäuser Boston, 2009. http://dx.doi.org/10.1007/978-0-8176-4747-6_14.

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Neguţ, Andrei. "Moduli Spaces of Sheaves on Surfaces: Hecke Correspondences and Representation Theory." In Lecture Notes in Mathematics, 53–81. Cham: Springer International Publishing, 2019. http://dx.doi.org/10.1007/978-3-030-26856-5_2.

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Coskun, Izzet, and Jack Huizenga. "The Moduli Spaces of Sheaves on Surfaces, Pathologies and Brill-Noether Problems." In Geometry of Moduli, 75–105. Cham: Springer International Publishing, 2018. http://dx.doi.org/10.1007/978-3-319-94881-2_4.

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Cui, Zhenlu, and Xiao-Ming Zeng. "Rheology of Sheared Bacterial Suspensions." In Natural Locomotion in Fluids and on Surfaces, 217–24. New York, NY: Springer New York, 2012. http://dx.doi.org/10.1007/978-1-4614-3997-4_17.

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9

Rudakov, Alexei N. "Rigid and Exceptional Sheaves on a Del Pezzo Surface." In Finite Dimensional Algebras and Related Topics, 277–91. Dordrecht: Springer Netherlands, 1994. http://dx.doi.org/10.1007/978-94-017-1556-0_15.

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Bhandary, Netra Prakash. "Experimental Simulation of Landslide Creep in Ring Shear Machine." In Progress in Landslide Research and Technology, Volume 1 Issue 2, 2022, 75–85. Cham: Springer International Publishing, 2023. http://dx.doi.org/10.1007/978-3-031-18471-0_6.

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AbstractSoil material undergoes a volumetric change when deformed, and the change continues until the material reaches its critical state. In granular soils, the critical state is one that exhibits the least frictional resistance, but in clayey materials, the frictional resistance decreases further upon shearing due to particle reorientation in the plane of failure, and the material volume attains a stable or steady state only after a large amount of shear deformation, which depending on the material type varies from a few to tens of centimeters. This state of shear deformation is generally known as the residual state. This article focuses on residual-state creep shear tests on common clayey materials for the purpose of experimentally simulating the landslide creep and understanding the displacement behavior of large-scale creeping landslides. As a general understanding, the deep-seated creeping landslides displace as a result of residual-state shearing of clayey material in the slip surface. So, a modified bishop-type torsional ring shear machine was developed for studying the residual-state shear creep behavior of clayey soils. In the ring shear tests, the material is first sheared under a strain-controlled pattern, and after the sample reaches its residual state of shear, different sets of constant shear loads are applied until the sample fails again and again. The test results reveal that at the residual state of shear, the creep behavior is exhibited only after a load equivalent to the residual frictional resistance of the material is applied. Moreover, it was understood that the displacement required for the beginning of the tertiary stage of creep of particular soil material, i.e., the early stage of creep failure is the same for all sets of creep loads.
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Тези доповідей конференцій з теми "Sheaves on surfaces"

1

Serabyn, E., C. R. Masson, and T. G. Phillips. "Radio telescope surface measurement with a sharing Fourier transform spectrometer." In OSA Annual Meeting. Washington, D.C.: Optica Publishing Group, 1988. http://dx.doi.org/10.1364/oam.1988.mgg6.

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A broadband technique for measuring the surface accuracy of near millimeter wavelength radio telescopes has been developed. The near millimeter wavelength radiation from a distant astronomical point source is first focused by the telescope’s primary and secondary mirrors and then recollimated by an off-axis tertiary paraboloid for passage through a Twyman-Green interferometer. The end mirrors of the interferometer are situated so that the combination of tertiary paraboloid and beam splitter creates two identical images of the primary on their surfaces. By rotating one of the end mirrors out of its plane, the wavefronts are sheared with respect to each other, with the result that the focal plane pattern is scanned across the detector, where it interferes with the reference arm pattern. A 2-D Fourier transform of the focal plane data then yields the telescope’s aperture plane electric field. To separate the effects of different frequencies, the second end mirror is scanned. The resultant sheared interferograms, after being inverted, give the frequency dependence of the electric fields. Thus a 3-D Fourier transform of a grid of sheared interferograms simultaneously provides a measurement of the telescope surface at a number of frequencies.
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2

Sheehan, J. P., N. Hershkowitz, I. Kaganovich, and Y. Raitses. "A kinetic theory of planar plasma sheaths surrounding electron emitting surfaces." In 2012 IEEE 39th International Conference on Plasma Sciences (ICOPS). IEEE, 2012. http://dx.doi.org/10.1109/plasma.2012.6384016.

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3

Skyner, D. J., and W. J. Easson. "The Effect of Sheared Currents on Wave Kinematics and Surface Parameters." In 23rd International Conference on Coastal Engineering. New York, NY: American Society of Civil Engineers, 1993. http://dx.doi.org/10.1061/9780872629332.046.

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4

Brambley, Edward. "Surface modes in sheared flow using the modified Myers boundary condition." In 17th AIAA/CEAS Aeroacoustics Conference (32nd AIAA Aeroacoustics Conference). Reston, Virigina: American Institute of Aeronautics and Astronautics, 2011. http://dx.doi.org/10.2514/6.2011-2736.

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5

Montalbano, Paul, and Craig Lusk. "Multistable Shape-Shifting Surfaces." In ASME 2012 International Design Engineering Technical Conferences and Computers and Information in Engineering Conference. American Society of Mechanical Engineers, 2012. http://dx.doi.org/10.1115/detc2012-71159.

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This paper presents designs for Multistable Shape-Shifting Surfaces (MSSS) by introducing bistability into the Shape-Shifting Surface (SSS). SSSs are defined as surfaces that retain their effectiveness as a physical barrier while undergoing changes in shape. The addition of bistability to the SSS gives the surface multiple distinct positions in which it remains when shifted to, i.e. by designing bistability into a single SSS link, the SSS unit cell can change into multiple shapes, and stabilize within the resulting shape, while maintaining integrity against various forms of external assaults normal to its surface. Planar stable configurations of the unit cell include, expanded, compressed, sheared, half-compressed, and partially-compressed, resulting in the planar shapes of a large square, small square, rhombus, rectangle, and trapezoid respectively. Tiling methods were introduced which gave the ability to produce out-of-plane assemblies using planar MSSS unit cells. Applications for MSSSs include size-changing vehicle beds, expandable laptop screens, deformable walls, and volume-changing rigid-storage containers. Analysis of the MSSS was done using Pseudo-rigid-Body Models (PRBMs) and Finite Element Analysis (FEA) which ensured bistable characteristics before prototypes were fabricated.
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6

Soons, Johannes A., and Ulf Griesmann. "Absolute interferometric tests of spherical surfaces based on rotational and translational shears." In SPIE Optical Engineering + Applications, edited by Joanna Schmit, Katherine Creath, Catherine E. Towers, and Jan Burke. SPIE, 2012. http://dx.doi.org/10.1117/12.930030.

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Bera, Mahua, Jayeta Banerjee, and Mina Ray. "Excitation of surface plasmon resonance with radially sheared beam using birefringent lens." In International Conference on Fibre Optics and Photonics. Washington, D.C.: OSA, 2014. http://dx.doi.org/10.1364/photonics.2014.s5a.50.

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Campanell, Michael D., and Grant R. Johnson. "Innovative Operating Modes of Many Plasma Devices Enabled by Thermionic Surfaces with Inverse Sheaths." In 2020 IEEE International Conference on Plasma Science (ICOPS). IEEE, 2020. http://dx.doi.org/10.1109/icops37625.2020.9717837.

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Vasques, João, Abubakr Ibrahim, David Hann, Kathy Simmons, and Michael Walsh. "The Effect of Surface Tension on Bubble Generation in Gas-Sheared Liquid Films." In ASME Turbo Expo 2019: Turbomachinery Technical Conference and Exposition. American Society of Mechanical Engineers, 2019. http://dx.doi.org/10.1115/gt2019-91303.

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Abstract In the bearings of an aero-engine, oil is supplied not only for lubrication, but mostly for cooling, where heat is removed from the hot walls of the chambers by the oil films that are formed there. Based on prior work, it is observed that air bubbles can become trapped within liquid films potentially affecting fluid behavior. This paper reports on experiments conducted in a horizontal rectangular duct, where the liquid phase was sheared by a strong gas stream. In this configuration, air bubbles are seen to be entrapped in a similar manner to what was observed within prior bearing chamber visualization research. Of particular interest in this paper, is the effect of surface tension on air bubble generation in the liquid phase and its consequences for appropriate oil selection criteria. The surface tension was controlled by testing solutions with reduced surface tension by up to 47% of that of water, while maintaining the density and viscosity parameters constant. The results were obtained using a Brightness-Based Laser-Induced Fluorescence technique. Results show that reducing surface tension leads to a higher number of bubbles being generated, thus increasing the level of aeration of the liquid phase. Additionally, the velocity of the bubbles was also measured and seen to be lower for the lower surface tension cases.
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Shukla, R. P., M. Moghbel, M. C. George, and P. Venkateswarlu. "Compact in-line laser radial-shear interferometer." In OSA Annual Meeting. Washington, D.C.: Optica Publishing Group, 1990. http://dx.doi.org/10.1364/oam.1990.mww3.

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Various optical arrangements to obtain radial shear in a converging beam of laser light are presented. The interferometer is made of a cube-type beam splitter such that two opposite surfaces are generated with different curvatures and the entrance and exit surfaces are in the same line. A wave front under test is focused into the center of the beam splitter. The reflected light from the beam splitter is again focused onto the beam splitter after reflections from two spherical surfaces of the cube. Finally, the beam travels in the same direction as that of direct transmitted beam, but with a change in numerical aperture. Consequently, two wave fronts are radially sheared to produce an interference pattern. The interferometer is compact and simple to make. Its alignment is easy because the incident test wave front is in line with the sheared wave fronts. Aberrations are introduced into the interferometer by the spherical nature of the curved surfaces, and aberration analysis is also presented. Some applications of the interferometer for testing lenses and assessing the quality of emerging wave fronts from the exit-slit of a monochromator are also suggested.
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Звіти організацій з теми "Sheaves on surfaces"

1

Harris, L. B., P. Adiban, and E. Gloaguen. The role of enigmatic deep crustal and upper mantle structures on Au and magmatic Ni-Cu-PGE-Cr mineralization in the Superior Province. Natural Resources Canada/CMSS/Information Management, 2021. http://dx.doi.org/10.4095/328984.

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Aeromagnetic and ground gravity data for the Canadian Superior Province, filtered to extract long wavelength components and converted to pseudo-gravity, highlight deep, N-S trending regional-scale, rectilinear faults and margins to discrete, competent mafic or felsic granulite blocks (i.e. at high angles to most regional mapped structures and sub-province boundaries) with little to no surface expression that are spatially associated with lode ('orogenic') Au and Ni-Cu-PGE-Cr occurrences. Statistical and machine learning analysis of the Red Lake-Stormy Lake region in the W Superior Province confirms visual inspection for a greater correlation between Au deposits and these deep N-S structures than with mapped surface to upper crustal, generally E-W trending, faults and shear zones. Porphyry Au, Ni, Mo and U-Th showings are also located above these deep transverse faults. Several well defined concentric circular to elliptical structures identified in the Oxford Stull and Island Lake domains along the S boundary of the N Superior proto-craton, intersected by N- to NNW striking extensional fractures and/or faults that transect the W Superior Province, again with little to no direct surface or upper crustal expression, are spatially associated with magmatic Ni-Cu-PGE-Cr and related mineralization and Au occurrences. The McFaulds Lake greenstone belt, aka. 'Ring of Fire', constitutes only a small, crescent-shaped belt within one of these concentric features above which 2736-2733 Ma mafic-ultramafic intrusions bodies were intruded. The Big Trout Lake igneous complex that hosts Cr-Pt-Pd-Rh mineralization west of the Ring of Fire lies within a smaller concentrically ringed feature at depth and, near the Ontario-Manitoba border, the Lingman Lake Au deposit, numerous Au occurrences and minor Ni showings, are similarly located on concentric structures. Preliminary magnetotelluric (MT) interpretations suggest that these concentric structures appear to also have an expression in the subcontinental lithospheric mantle (SCLM) and that lithospheric mantle resistivity features trend N-S as well as E-W. With diameters between ca. 90 km to 185 km, elliptical structures are similar in size and internal geometry to coronae on Venus which geomorphological, radar, and gravity interpretations suggest formed above mantle upwellings. Emplacement of mafic-ultramafic bodies hosting Ni-Cr-PGE mineralization along these ringlike structures at their intersection with coeval deep transverse, ca. N-S faults (viz. phi structures), along with their location along the margin to the N Superior proto-craton, are consistent with secondary mantle upwellings portrayed in numerical models of a mantle plume beneath a craton with a deep lithospheric keel within a regional N-S compressional regime. Early, regional ca. N-S faults in the W Superior were reactivated as dilatational antithetic (secondary Riedel/R') sinistral shears during dextral transpression and as extensional fractures and/or normal faults during N-S shortening. The Kapuskasing structural zone or uplift likely represents Proterozoic reactivation of a similar deep transverse structure. Preservation of discrete faults in the deep crust beneath zones of distributed Neoarchean dextral transcurrent to transpressional shear zones in the present-day upper crust suggests a 'millefeuille' lithospheric strength profile, with competent SCLM, mid- to deep, and upper crustal layers. Mechanically strong deep crustal felsic and mafic granulite layers are attributed to dehydration and melt extraction. Intra-crustal decoupling along a ductile décollement in the W Superior led to the preservation of early-formed deep structures that acted as conduits for magma transport into the overlying crust and focussed hydrothermal fluid flow during regional deformation. Increase in the thickness of semi-brittle layers in the lower crust during regional metamorphism would result in an increase in fracturing and faulting in the lower crust, facilitating hydrothermal and carbonic fluid flow in pathways linking SCLM to the upper crust, a factor explaining the late timing for most orogenic Au. Results provide an important new dataset for regional prospectively mapping, especially with machine learning, and exploration targeting for Au and Ni-Cr-Cu-PGE mineralization. Results also furnish evidence for parautochthonous development of the S Superior Province during plume-related rifting and cannot be explained by conventional subduction and arc-accretion models.
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