Добірка наукової літератури з теми "Deformation retractions"

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Статті в журналах з теми "Deformation retractions"

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Goodykoontz, Jack T. "Some retractions and deformation retractions on 2x and C(X)." Topology and its Applications 21, no. 2 (November 1985): 121–33. http://dx.doi.org/10.1016/0166-8641(85)90099-9.

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El-Ahmady, A. E. "Foldings and Deformation Retractions of Hypercylinder." Indian Journal of Science and Technology 6, no. 2 (February 20, 2013): 1–10. http://dx.doi.org/10.17485/ijst/2013/v6i2.23.

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Pflaum, Markus J., and Graeme Wilkin. "Equivariant control data and neighborhood deformation retractions." Methods and Applications of Analysis 26, no. 1 (2019): 13–36. http://dx.doi.org/10.4310/maa.2019.v26.n1.a2.

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El-Ahmady, A. E., and A. T. M-Zidan. "On the Deformation Retractions of Frenet Curves in Minkowski 4 - Space." Modern Applied Science 14, no. 9 (August 28, 2020): 55. http://dx.doi.org/10.5539/mas.v14n9p55.

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In this paper, the position vector equation of   the Frenet curves with constant curvatures in Minkowski 4 -space has been presented. New types for retractions and deformation retracts of Frenet curves in  are deduced. The relations between the Frenet apparatus of the Frenet curves before and after the deformation retracts are obtained.
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Talafha, Adeeb G., Sahar M. Alqaraleh, A. E. El-Ahmady, and Jehad Al Jaraden. "On Fuzzy Fundamental Groups and Fuzzy Folding of Fuzzy Minkowski Space." Advances in Fuzzy Systems 2021 (August 14, 2021): 1–9. http://dx.doi.org/10.1155/2021/7747394.

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In this paper, we studied the relations between new types of fuzzy retractions, fuzzy foldings, and fuzzy deformation retractions, on fuzzy fundamental groups of the fuzzy Minkowski space M ˜ 4 . These geometrical transformations are used to give a combinatorial characterization of the fundamental groups of fuzzy submanifolds on M ˜ 4 . Then, the fuzzy fundamental groups of the fuzzy geodesics and the limit fuzzy foldings of M ˜ 4 are presented and obtained. Finally, we proved a sequence of theorems concerning the isomorphism between the fuzzy fundamental group and the fuzzy identity group.
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Bagchi, Susmit. "Constructions and Properties of Quasi Sigma-Algebra in Topological Measure Space." Axioms 11, no. 9 (August 24, 2022): 425. http://dx.doi.org/10.3390/axioms11090425.

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The topological views of a measure space provide deep insights. In this paper, the sigma-set algebraic structure is extended in a Hausdorff topological space based on the locally compactable neighborhood systems without considering strictly (metrized) Borel variety. The null extension gives rise to a quasi sigma-semiring based on sigma-neighborhoods, which are rectifiable in view of Dieudonné measure in n-space. The concepts of symmetric signed measure, uniformly pushforward measure, and its interval-valued Lebesgue variety within a topological measure space are introduced. The symmetric signed measure preserves the total ordering on the real line; however, the collapse of symmetry admits Dieudonné measure within the topological space. The locally constant measures in compact supports in sigma-neighborhood systems are invariant under topological deformation retraction in a simply connected space where the sequence of deformation retractions induces a strongly convergent sequence of measures. Moreover, the extended sigma-structures in an automorphic and isomorphic topological space preserve the properties of uniformly pushforward measure. The Haar-measurable group algebraic structures equivalent to additive integer groups arise under the locally constant and signed measures as long as the topological space is non-compact and the null-extended sigma-neighborhood system admits compact groups. The comparative analyses of the proposed concepts with respect to existing results are outlined.
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Abu-Saleem, M. "The minimum deformation retract on the wormhole spacetime." International Journal of Geometric Methods in Modern Physics 17, no. 13 (October 13, 2020): 2050198. http://dx.doi.org/10.1142/s0219887820501984.

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In this paper, we investigate the topology of a wormhole from the viewpoint of the theory of retracting and var-folding. We deduce the equatorial geodesics on the line element of the wormhole and discuss the minimum deformation retract related to this space. Using the Lagrangian equations we find that there is a type of minimum retraction of a wormhole with associated topology. We also extend the result to the [Formula: see text]-dimensional wormhole and show that the end limit of var-folding is 0-dimensional wormhole and obtain the relation between limit var-folding and limit retraction. We find a new application in geometric topology and astrophysics.
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Ahmed, Nasr, and H. Rafat. "Existence of deformations and dimensional reduction in wormholes and black holes." International Journal of Geometric Methods in Modern Physics 15, no. 11 (November 2018): 1850197. http://dx.doi.org/10.1142/s0219887818501979.

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The deformation retract is, by definition, a homotopy between a retraction and the identity map. We show that applying this topological concept to Ricci-flat wormholes/black holes implies that such objects can get deformed and reduced to lower dimensions. The homotopy theory can provide a rigorous proof to the existence of black holes/wormholes deformations and explain the topological origin. The current work discusses such possible deformations and dimensional reductions from a global topological point of view, it also represents a new application of the homotopy theory and deformation retract in astrophysics and quantum gravity.
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Garland, Michael GC, Matthew J. Santer, and Jonathan F. Morrison. "Optimal aero-structural design of an adaptive surface for boundary layer motivation using an auxetic lattice skin." Journal of Intelligent Material Systems and Structures 28, no. 17 (February 6, 2017): 2414–27. http://dx.doi.org/10.1177/1045389x16685446.

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The aero-structural design of an adaptive vortex generator for repeatable, elastic, deployment and retraction from an aerodynamically clean surface is presented. A multidisciplinary objective function, containing geometrically nonlinear finite element analysis and large eddy simulation, is used to derive the optimal adaptive geometry for increasing the momentum of the near-wall fluid. It is found that the rapid increase of in-plane membrane stress with deflection is a significant limitation on achievable deformation of a continuous skin with uniform section. Use of a 2D auxetic lattice structure in place of the continuous skin allows for significantly larger deformations and thus a significant improvement in performance. The optimal deformed geometry is replicated statically and the effect on the boundary layer is validated in a wind tunnel experiment. The lattice structure is then manufactured and actuated. The deformed geometry is shown to compare well with the FEA predictions. The surface is re-examined post actuation and shown to return to the initial position, demonstrating the deformation is elastic and hence repeatable.
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He, Huan An, and You Gang Wang. "Research on Long-Term Expansive Deformation of Steel Fiber Reinforced Expansive Concrete." Key Engineering Materials 417-418 (October 2009): 945–48. http://dx.doi.org/10.4028/www.scientific.net/kem.417-418.945.

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The inherent low tensile strength and shrinkage result in cracking of concrete under work loads. A new way to improve cracking properties is distributing steel fibers into expansive concrete to form a type of composite which is called steel fiber reinforced expansive concrete. This type of high performance concrete could compensate shrinkage as well as improving crack strength. For this concrete, the key point to ensure high performance and safety of concrete structure is to keep a stable expansive deformation during long-term service. A series of tests were carried out to measure long-term restrained expansive deformations of steel fiber reinforced expansive concrete with ages under various restrictions like steel bars and steel fibers. The test investigated some 3-year specimens. For all specimens, test parameters included 2 ratios of steel bar reinforcement, 4 volume fractions of steel fiber and 4 dosages of expansion admixture. The test results showed that the expansion of concrete decreased with increasing of steel bar reinforcing ratio as well as steel fiber volume fraction. In addition, when being in a lower dosage of expansion admixture, the specimens presented remarkable retraction of the expansive deformation. However, when beyond a certain dosage of expansion admixture, the long-term expansive deformation had less change with ages and almost remained the same with 90-day deformation, namely less losses of deformation. Hence, for steel fiber reinforced expansive concrete, using an appropriate dosage of expansion admixture could meet the requirements of designed strengthening and compensating shrinkage.
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Дисертації з теми "Deformation retractions"

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Chenoweth, Brett Simon. "Deformation retractions from spaces of continuous maps onto spaces of holomorphic maps." Thesis, 2016. http://hdl.handle.net/2440/99894.

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A fundamental property of an Oka manifold Y is that every continuous map from a Stein manifold X to Y can be deformed to a holomorphic map. In a recent paper, Larusson [19] considers the natural question of whether it is possible to simultaneously deform all continuous maps f from X to Y to holomorphic maps, in a way that depends continuously on f and does not change f if f is holomorphic to begin with. In other words, is 𝒪(X, Y ) a deformation retract of 𝒞 (X, Y )? Larusson provided a partial answer to this question. In this thesis we further develop the work of Larusson on the topological relationship between spaces of continuous maps and spaces of holomorphic maps from Stein manifolds to Oka manifolds, mainly in the context of domains in ℂ. The main tools we use come from complex analysis, Oka theory, algebraic topology and the theory of absolute neighbourhood retracts. One of our main results provides a large supply of infinitely connected domains X in ℂ such that 𝒪(X, ℂ*) is a deformation retract of 𝒞 (X, ℂ*).
Thesis (M.Phil.) -- University of Adelaide, School of Mathematical Sciences, 2016.
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Книги з теми "Deformation retractions"

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Hrushovski, Ehud, and François Loeser. Applications to the topology of Berkovich spaces. Princeton University Press, 2017. http://dx.doi.org/10.23943/princeton/9780691161686.003.0014.

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This chapter presents various applications to the topology of classical Berkovich spaces. It deduces from the main theorem several new results on the topology of V(superscript an) which were not known previously in such a level of generality. In particular, it shows that V(superscript an) admits a strong deformation retraction to a subspace homeomorphic to a finite simplicial complex and that V(superscript an) is locally contractible. The chapter also proves the existence of strong retractions to skeleta for analytifications of definable subsets of quasi-projective varieties and goes on to prove finiteness of homotopy types in families in a strong sense and a result on homotopy equivalence of upper level sets of definable functions. Finally, it describes an injection in the opposite direction (over an algebraically closed field) which in general provides an identification between points of Berkovich analytifications and Galois orbits of stably dominated points.
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Hrushovski, Ehud, and François Loeser. The main theorem. Princeton University Press, 2017. http://dx.doi.org/10.23943/princeton/9780691161686.003.0011.

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This chapter introduces the main theorem, which states: Let V be a quasi-projective variety over a valued field F and let X be a definable subset of V x Γ‎superscript Script Small l subscript infinity over some base set V ⊂ VF ∪ Γ‎, with F = VF(A). Then there exists an A-definable deformation retraction h : I × unit vector X → unit vector X with image an iso-definable subset definably homeomorphic to a definable subset of Γ‎superscript w subscript Infinity, for some finite A-definable set w. The chapter presents several preliminary reductions to essentially reduce to a curve fibration. It then constructs a relative curve homotopy and a liftable base homotopy, along with a purely combinatorial homotopy in the Γ‎-world. It also constructs the homotopy retraction by concatenating the previous three homotopies together with an inflation homotopy. Finally, it describes a uniform version of the main theorem with respect to parameters.
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Hrushovski, Ehud, and François Loeser. Non-Archimedean Tame Topology and Stably Dominated Types (AM-192). Princeton University Press, 2017. http://dx.doi.org/10.23943/princeton/9780691161686.001.0001.

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Over the field of real numbers, analytic geometry has long been in deep interaction with algebraic geometry, bringing the latter subject many of its topological insights. In recent decades, model theory has joined this work through the theory of o-minimality, providing finiteness and uniformity statements and new structural tools. For non-archimedean fields, such as the p-adics, the Berkovich analytification provides a connected topology with many thoroughgoing analogies to the real topology on the set of complex points, and it has become an important tool in algebraic dynamics and many other areas of geometry. This book lays down model-theoretic foundations for non-archimedean geometry. The methods combine o-minimality and stability theory. Definable types play a central role, serving first to define the notion of a point and then properties such as definable compactness. Beyond the foundations, the main theorem constructs a deformation retraction from the full non-archimedean space of an algebraic variety to a rational polytope. This generalizes previous results of V. Berkovich, who used resolution of singularities methods. No previous knowledge of non-archimedean geometry is assumed and model-theoretic prerequisites are reviewed in the first sections.
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Частини книг з теми "Deformation retractions"

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Chen, C. Julian. "Nanomechanical Effects." In Introduction to Scanning Tunneling Microscopy, 253–72. Oxford University Press, 2021. http://dx.doi.org/10.1093/oso/9780198856559.003.0009.

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This chapter discusses the effect of force and deformation of the tip apex and the sample surface in the operation and imaging mechanism of STM and AFM. Because the contact area is of atomic dimension, a very small force and deformation would generate a large measurable effect. Three effects are discussed. First is the stability of the STM junction, which depends on the rigidity of the material. For soft materials, hysterisis is more likely. For rigid materials, the approaching and retraction cycles are continuous and reproducible. Second is the effect of force and deformation to the STM imaging mechanism. For soft material such as graphite, force and deformation can amplify the observed corrugation. For hard materials as most metals, force and deformation can decrease the observed corrugation. Finally, the effect of force and deformation on tunneling barrier height measurements is discussed.
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Тези доповідей конференцій з теми "Deformation retractions"

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Cai, Lailiang, Kan Wu, Gang Hao, and Yanan Xu. "Notice of Retraction: Deformation Monitoring Study of Equivalent Material Model." In 2010 2nd International Conference on Information Engineering and Computer Science (ICIECS). IEEE, 2010. http://dx.doi.org/10.1109/iciecs.2010.5677715.

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Liu, X. H., and Y. W. Wu. "Notice of Retraction: Simulation of cloth multi-drape-pattern deformation." In 2010 International Conference on Computer Application and System Modeling (ICCASM 2010). IEEE, 2010. http://dx.doi.org/10.1109/iccasm.2010.5619141.

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Tang, Wilson, and Hamid Johari. "Deformation of a Ram-Air Canopy due to Control Line Retraction." In 24th AIAA Aerodynamic Decelerator Systems Technology Conference. Reston, Virginia: American Institute of Aeronautics and Astronautics, 2017. http://dx.doi.org/10.2514/6.2017-3546.

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Scholten, William, Ryan Patterson, Makiah Eustice, Sebastian Cook, Darren Hartl, Thomas Strganac, and Travis Turner. "Aerodynamic and Structural Evaluation of an SMA Slat-Cove Filler Using Computational and Experimental Tools at Model Scale." In ASME 2018 Conference on Smart Materials, Adaptive Structures and Intelligent Systems. American Society of Mechanical Engineers, 2018. http://dx.doi.org/10.1115/smasis2018-8129.

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Transport class aircraft produce a significant amount of airframe noise during approach and landing due to exposed geometric discontinuities that are hidden during cruise. The leading-edge slat is a primary contributor to this noise. In previous work, use of a slat-cove filler (SCF) has proven to reduce airframe noise by filling the cove aft of the slat, eliminating the circulation region within the cove. The goal of this work is to extend and improve upon past experimental and computational efforts on the evaluation of a scaled high-lift wing with a superelastic shape memory alloy (SMA) SCF. Recent turbulence measurements of the Texas A&M University 3ft-by-4ft wind tunnel allow for more accurate representation of the flow through the test section in computational fluid dynamics (CFD) analysis. The finite volume models used in CFD analysis are coupled to structural finite element models using a framework compatible with an SMA constitutive model and significant deformation, enabling fluid-structure interaction (FSI) analysis of the SCF. Both fully-deployed and retraction/deployment cases are considered. The displacement of the SCF on the experimental model is measured at various stages of retraction/deployment using a laser displacement sensor and digital image correlation system. Due to a lack of structural stiffness in the 3D-printed plastic slat during retraction and SCF stowage, a rigid steel slat is incorporated into the physical model and preliminary wind tunnel tests are conducted at multiple angles of attack.
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Gharababaei, Hashem, and Mahsasadat Miralinaghi. "Notice of Retraction: Deformation of clamped circular plates subjected to impulsive loading." In 2010 2nd International Conference on Mechanical and Electronics Engineering (ICMEE 2010). IEEE, 2010. http://dx.doi.org/10.1109/icmee.2010.5558501.

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Adachi, Kazuhiko, Yoshiaki Inoue, Hiroshi Kanki, Atsushi Fujita, and Eiji Kohmura. "Finite Element Modeling of Brain Tissue Retraction for Neurosurgical Simulation." In ASME 2007 International Mechanical Engineering Congress and Exposition. ASMEDC, 2007. http://dx.doi.org/10.1115/imece2007-41772.

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The simulation capability for intraoperative brain tissue deformation by the surgical procedures using computational Finite Element analysis is demonstrated in this paper. Our research group has been developing the patient-specific three-dimensional Finite Element brain deformation model consisting of precise anatomical structures, i.e., brain parenchyma with both gyri and sulci on the surface, falx cerebri, and tentorium, in order to evaluate brain shift during navigation surgery without additional acquisition of intraoperative imaging. In this study, both gray and white matters of the brain tissues were modeled as homogeneous nonlinear hyper-viscoelastic material. The falx cerebri with tentorium was modeled as linear elastic material which is much stiffer than the brain tissue. The skull was modeled as a rigid body. In the numerical simulation, the computation of the intraoperative cerebellum tissue deformation due to retraction by spatula for posterior fossa surgery was conducted by ABAQUS/Explicit. The illustrative results successfully demonstrate the interaction between brain tissue and spatula.
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Chen Weiqing, Chen Jiajia, and Tian Haitao. "Notice of Retraction: Building deformation analysis based on the residual gray combination model." In 2010 Second IITA International Conference on Geoscience and Remote Sensing (IITA-GRS 2010). IEEE, 2010. http://dx.doi.org/10.1109/iita-grs.2010.5602971.

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Wang, Yechun, Artur Lutfurakhmanov, and Iskander S. Akhatov. "Spectral Boundary Element Method for Liquid Bridge Dynamics Between Capillary and Substrate." In ASME 2011 International Mechanical Engineering Congress and Exposition. ASMEDC, 2011. http://dx.doi.org/10.1115/imece2011-63787.

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Micro/Nanolithography is an emerging technique to create micro/nano features on substrate. New capillary based lithography method has been developed to overcome the limitations (e.g. directly contact of the substrate) of existing lithography techniques including dip-pen nanolithography nano-imprint lithography and electron-beam lithography. The understanding of the behavior of the liquid bridge formed between a capillary tube and a substrate is essential for the recently developed capillary based lithography method that is non-invasive to the substrate. A three-dimensional spectral boundary element method has been employed to describe the dynamics of liquid bridge. Starting with a steady-state liquid bridge shape, the transient bridge deformation is computed as the capillary tube is retracting away from the substrate. Several relations between the dynamic contact angle and contact line speed have been employed and discussed. The computational results are compared with experimental findings. The influences of liquid properties and retracting speed on the bridge dynamics are investigated.
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ChangBin Wu, Qiao Yan, MingLiang Bi, and Songzhao Lv. "Notice of Retraction: Study on applications of neural network to deformation control of dam." In 2010 International Conference on Computer Application and System Modeling (ICCASM 2010). IEEE, 2010. http://dx.doi.org/10.1109/iccasm.2010.5620021.

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Jiang Ruibo and Liu Xiaoqiang. "Notice of Retraction: The high-rise building's deformation prediction based on time series analysis." In 2010 International Conference on Computer Application and System Modeling (ICCASM 2010). IEEE, 2010. http://dx.doi.org/10.1109/iccasm.2010.5622546.

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