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Journal articles on the topic 'Deformation <Mathematik>'

Author: Grafiati

Published: 4 June 2021

Last updated: 18 February 2022

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1

Turco, Emilio, Ivan Giorgio, Anil Misra, and Francesco dell’Isola. "King post truss as a motif for internal structure of (meta)material with controlled elastic properties." Royal Society Open Science 4, no. 10 (2017): 171153. http://dx.doi.org/10.1098/rsos.171153.

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One of the most interesting challenges in the modern theory of materials consists in the determination of those microstructures which produce, at the macro-level, a class of metamaterials whose elastic range is many orders of magnitude wider than the one exhibited by ‘standard’ materials. In dell’Isola et al. (2015 Zeitschrift für angewandte Mathematik und Physik 66 , 3473–3498. ( doi:10.1007/s00033-015-0556-4 )), it was proved that, with a pantographic microstructure constituted by ‘long’ micro-beams it is possible to obtain metamaterials whose elastic range spans up to an elongation exceedin

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Feng, Shao Jie, Xue Fang Zhao, and Ji Lv. "Application Research of Fuzzy Mathematics to the Surface Movement Deformation Prediction." Advanced Materials Research 962-965 (June 2014): 998–1002. http://dx.doi.org/10.4028/www.scientific.net/amr.962-965.998.

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In this paper,based on the fuzzy mathematics theory, established prediction function model about the surface movement deformation caused by underground mining. On the basis of the measured data of a large number of engineering, determined the fuzzy measure expression. The function model is applied to a surface movement deformation prediction in the mines, combine with the Matlab, implement the surface movement deformation’s 3D visualization. The results of prediction was coincident with the test data, illustrated that the function model has certain validity and practicability. The method provi

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Piras, Paolo, Valerio Varano, Maxime Louis, et al. "Transporting Deformations of Face Emotions in the Shape Spaces: A Comparison of Different Approaches." Journal of Mathematical Imaging and Vision 63, no. 7 (2021): 875–93. http://dx.doi.org/10.1007/s10851-021-01030-6.

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AbstractStudying the changes of shape is a common concern in many scientific fields. We address here two problems: (1) quantifying the deformation between two given shapes and (2) transporting this deformation to morph a third shape. These operations can be done with or without point correspondence, depending on the availability of a surface matching algorithm, and on the type of mathematical procedure adopted. In computer vision, the re-targeting of emotions mapped on faces is a common application. We contrast here four different methods used for transporting the deformation toward a target o

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4

Tomáš, Miroslav, Emil Evin, Stanislav Németh, and Juraj Hudák. "Evaluation of Limit Deformations of Zn Coated High Strength Steel." Materials Science Forum 818 (May 2015): 248–51. http://dx.doi.org/10.4028/www.scientific.net/msf.818.248.

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The paper presents the evaluation of limit deformations by the tensile test of notched specimens to measure the left side of forming limit curve. The notch radii R5, R10, R17.5 and R25 were machined on the specimens of 40 mm in width. The limit deformations have been assessed for Zn coated high strength steel TRIP with thickness 0.76 mm. Two types of deformation grid were electrochemically etched on the specimens: circles with diameter of 2 mm and the pattern of dots with diameter 0.5 mm and spacing 1 mm. The tensile test of notched specimens has been also numerically simulated. The experiment

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5

FIALOWSKI, ALICE, and ANITA MAJUMDAR. "MINIVERSAL DEFORMATIONS OF DIALGEBRAS." Communications in Contemporary Mathematics 11, no. 03 (2009): 413–32. http://dx.doi.org/10.1142/s0219199709003429.

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6

BLANCHARD, DOMINIQUE, and GEORGES GRISO. "DECOMPOSITION OF DEFORMATIONS OF THIN RODS: APPLICATION TO NONLINEAR ELASTICITY." Analysis and Applications 07, no. 01 (2009): 21–71. http://dx.doi.org/10.1142/s021953050900130x.

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This paper deals with the introduction of a decomposition of the deformations of curved thin beams, with section of order δ, which takes into account the specific geometry of such beams. A deformation v is split into an elementary deformation and a warping. The elementary deformation is the analog of a Bernoulli–Navier's displacement for linearized deformations replacing the infinitesimal rotation by a rotation in SO(3) in each cross section of the rod. Each part of the decomposition is estimated with respect to the L2norm of the distance from gradient v to SO(3). This result relies on revisit

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7

Huebschmann, Johannes. "The formal Kuranishi parameterization via the universal homological perturbation theory solution of the deformation equation." Georgian Mathematical Journal 25, no. 4 (2018): 529–44. http://dx.doi.org/10.1515/gmj-2018-0054.

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AbstractUsing homological perturbation theory, we develop a formal version of the miniversal deformation associated with a deformation problem controlled by a differential graded Lie algebra over a field of characteristic zero. Our approach includes a formal version of the Kuranishi method in the theory of deformations of complex manifolds.

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8

Böckle, Gebhard. "A local-to-global principle for deformations of Galois representations." Journal für die reine und angewandte Mathematik (Crelles Journal) 1999, no. 509 (1999): 199–236. http://dx.doi.org/10.1515/crll.1999.509.199.

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Abstract Given an absolutely irreducible Galois representation : GE → GLN (k), E a number field, k a finite field of characteristic l > 2, and a finite set of places Q of E containing all places above l and ∞ and all where ∞ ramifies, there have been defined many functors representing strict equivalence classes of deformations of such a representation, e.g. by Mazur or Wiles in [15] or [26], with various conditions on the behaviour of the deformations at the places in Q and with the condition that the deformations are unramified outside Q. Those functors are known to be representable. For a

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9

Zhang, Jing Ke, Wen Wu Chen, Fa Guo He, Guang Pin Sun, and Qing Lin Guo. "Random Process Description on Short-Term Deformation Behavior of Endangered Earthen Heritage Slope under Natural Conditions." Advanced Materials Research 250-253 (May 2011): 2592–600. http://dx.doi.org/10.4028/www.scientific.net/amr.250-253.2592.

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Deformation behavior of endangered earthen heritage slope makes sense to scientific conservation of earthen architecture. It realizes qualitative and quantitative description of diseases. Based on random process and description theory, deformation behavior of endangered earthen heritage slope (Jiaohe Ruins) is studied using high-accuracy, real-time, dynamic information obtained by deformation monitoring appliance. Research result indicates that mathematic model can be established by use of modern mathematic method. The mathematic model of Jiaohe slope proves that short-term deformation behavio

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10

Andreev, Vladimir I., and Anatoliy S. Avershyev. "Nonstationary Problem Moisture Elasticity for Nonhomogeneous Hollow Thick-Walled Sphere." Advanced Materials Research 838-841 (November 2013): 254–58. http://dx.doi.org/10.4028/www.scientific.net/amr.838-841.254.

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There is presented a solution of the problem of centrally symmetric unsteady moisture transfer in a hollow spherical array, modeling part of ground mass, with the propagation of the moisture from the inner surface to periphery. At the second stage in mined the slow moisture transfer is solved quasi-stationary problem of moisture elasticity for inhomogeneous body because of uneven changing the deformation characteristics of the soil by saturated it with moisture. The term moisture elasticity is used by analogy with the term thermoelasticity since the presence of moisture in the material induce

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11

CATANESE, FABRIZIO. "CANONICAL SYMPLECTIC STRUCTURES AND DEFORMATIONS OF ALGEBRAIC SURFACES." Communications in Contemporary Mathematics 11, no. 03 (2009): 481–93. http://dx.doi.org/10.1142/s0219199709003478.

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We show that a minimal surface of general type has a canonical symplectic structure (unique up to symplectomorphism) which is invariant for smooth deformation. We show that the symplectomorphism type is also invariant for deformations which allow certain normal singularities, provided one remains in the same smoothing component. We use this technique to show that the Manetti surfaces yield examples of surfaces of general type which are not deformation equivalent but are canonically symplectomorphic.

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12

CHEN, CHAO, and HO-LUN CHENG. "SUPERIMPOSING VORONOI COMPLEXES FOR SHAPE DEFORMATION." International Journal of Computational Geometry & Applications 16, no. 02n03 (2006): 159–74. http://dx.doi.org/10.1142/s0218195906001987.

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Edelsbrunner et al. defined a framework of shape deformations with shapes bounded by skin manifold. We prove that the infinitely many synthesized shapes in the deformation sequence share finitely many common Voronoi complexes. Therefore, we propose a new algorithm to compute the common Voronoi complexes efficiently for the deformations, and use these common complexes to compute the synthesized shapes in real time. This makes generating, visualizing, and customizing shape deformations feasible.

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13

Berger, Tobias, and Krzysztof Klosin. "A deformation problem for Galois representations over imaginary quadratic fields." Journal of the Institute of Mathematics of Jussieu 8, no. 4 (2009): 669–92. http://dx.doi.org/10.1017/s1474748009000036.

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AbstractWe prove the modularity of minimally ramified ordinary residually reducible p-adic Galois representations of an imaginary quadratic field F under certain assumptions. We first exhibit conditions under which the residual representation is unique up to isomorphism. Then we prove the existence of deformations arising from cuspforms on GL2(AF) via the Galois representations constructed by Taylor et al. We establish a sufficient condition (in terms of the non-existence of certain field extensions which in many cases can be reduced to a condition on an L-value) for the universal deformation

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14

DEMCHENKO, OLEG, and ALEXANDER GUREVICH. "GROUP ACTION ON THE DEFORMATIONS OF A FORMAL GROUP OVER THE RING OF WITT VECTORS." Nagoya Mathematical Journal 235 (December 20, 2017): 42–57. http://dx.doi.org/10.1017/nmj.2017.43.

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A recent result by the authors gives an explicit construction for a universal deformation of a formal group $\unicode[STIX]{x1D6F7}$ of finite height over a finite field $k$ . This provides in particular a parametrization of the set of deformations of $\unicode[STIX]{x1D6F7}$ over the ring ${\mathcal{O}}$ of Witt vectors over $k$ . Another parametrization of the same set can be obtained through the Dieudonné theory. We find an explicit relation between these parameterizations. As a consequence, we obtain an explicit expression for the action of $\text{Aut}_{k}(\unicode[STIX]{x1D6F7})$ on the s

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15

Wilson, Mitsuru. "Connes-Landi spheres are homogeneous spaces." Revista Colombiana de Matemáticas 53, supl (2019): 257–71. http://dx.doi.org/10.15446/recolma.v53nsupl.84099.

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In this paper, we review some recent developments of compact quantum groups that arise as θ-deformations of compact Lie groups of rank at least two. A θ-deformation is merely a 2-cocycle deformation using an action of a torus of dimension higher than 2. Using the formula (Lemma 5.3) developed in [11], we derive the noncommutative 7-sphere in the sense of Connes and Landi [3] as the fixed-point subalgebra.

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16

sano, Taro. "Deformations of weak ℚ-Fano 3-folds". International Journal of Mathematics 29, № 07 (2018): 1850049. http://dx.doi.org/10.1142/s0129167x18500490.

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We prove that a weak [Formula: see text]-Fano [Formula: see text]-fold with terminal singularities has unobstructed deformations. By using this result and computing some invariants of a terminal singularity, we provide two results on global deformation of a weak [Formula: see text]-Fano [Formula: see text]-fold. We also treat a stacky proof of the unobstructedness of deformations of a [Formula: see text]-Fano [Formula: see text]-fold.

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17

Stefanelli, Ulisse. "Existence for dislocation-free finite plasticity." ESAIM: Control, Optimisation and Calculus of Variations 25 (2019): 21. http://dx.doi.org/10.1051/cocv/2018014.

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This note addresses finite plasticity under the constraint that plastic deformations are compatible. In this case, the total elastoplastic deformation of the medium is decomposed as y = ye ○ yp, where the plastic deformation yp is defined on the fixed reference configuration and the elastic deformation ye is a mapping from the varying intermediate configuration yp(Ω). Correspondingly, the energy of the medium features both Lagrangian (plastic, loads) and not Lagrangian contributions (elastic). We present a variational formulation of the static elastoplastic problem in this setting and show tha

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18

FU, BAOHUA. "WREATH PRODUCTS, NILPOTENT ORBITS AND SYMPLECTIC DEFORMATIONS." International Journal of Mathematics 18, no. 05 (2007): 473–81. http://dx.doi.org/10.1142/s0129167x07004187.

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We recover the wreath product X ≔ Sym 2(ℂ2/± 1) as a transversal slice to a nilpotent orbit in 𝔰𝔭6. By using deformations of Springer resolutions, we construct a symplectic deformation of symplectic resolutions of X.

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19

Crainic, Marius, João Nuno Mestre, and Ivan Struchiner. "Deformations of Lie Groupoids." International Mathematics Research Notices 2020, no. 21 (2018): 7662–746. http://dx.doi.org/10.1093/imrn/rny221.

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Abstract We study deformations of Lie groupoids by means of the cohomology which controls them. This cohomology turns out to provide an intrinsic model for the cohomology of a Lie groupoid with values in its adjoint representation. We prove several fundamental properties of the deformation cohomology including Morita invariance, a van Est theorem, and a vanishing result in the proper case. Combined with Moser’s deformation arguments for groupoids, we obtain several rigidity and normal form results.

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20

Liu, Shu Hua, and Kun He Fang. "Study on Autogenous Deformation of Concrete Incorporating MgO as Expansive Agent." Key Engineering Materials 302-303 (January 2006): 155–61. http://dx.doi.org/10.4028/www.scientific.net/kem.302-303.155.

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In order to establish a mathematic model of the autogenous deformation of concrete incorporating MgO as expansive agent, we study the characteristics of it. Based on the results of testing researches and testing data, we get a mathematic model, which can clearly reveal the characteristics of autogenous deformation of concrete incorporating MgO as expansive agent. Autogenous deformation of concrete incorporating MgO as expansive agent is steady, the expansion is not infinite and there is no retrogress. Age mainly influences the basic equation of autogenous deformation. The content of MgO (or fl

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21

Miyajima, Kimio. "ANALYTIC APPROACH TO DEFORMATION OF RESOLUTION OF NORMAL ISOLATED SINGULARITIES: FORMAL DEFORMATIONS." Journal of the Korean Mathematical Society 40, no. 4 (2003): 709–25. http://dx.doi.org/10.4134/jkms.2003.40.4.709.

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22

Akhmedov, Anar, and Sümeyra Sakallı. "Deformation of singular fibers of genus two fibrations and small exotic symplectic 4-manifolds." International Journal of Mathematics 30, no. 03 (2019): 1950017. http://dx.doi.org/10.1142/s0129167x19500174.

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We introduce the [Formula: see text]-nodal spherical deformation of certain singular fibers of genus two fibrations, and use such deformations to construct various examples of simply connected minimal symplectic [Formula: see text]-manifolds with small topology. More specifically, we construct new exotic minimal symplectic [Formula: see text]-manifolds homeomorphic but not diffeomorphic to [Formula: see text], [Formula: see text], and [Formula: see text] for [Formula: see text] using combinations of such deformations, symplectic blowups, and (generalized) rational blowdown surgery. We also dis

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23

Mukherjee, Goutam, and Raj Bhawan Yadav. "Equivariant one-parameter deformations of associative algebras." Journal of Algebra and Its Applications 19, no. 06 (2019): 2050114. http://dx.doi.org/10.1142/s0219498820501145.

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24

Fialowski, Alice. "Deformations in Mathematics and Physics." International Journal of Theoretical Physics 47, no. 2 (2007): 333–37. http://dx.doi.org/10.1007/s10773-007-9454-7.

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25

Konopelchenko, B. G. "On the Deformation Theory of Structure Constants for Associative Algebras." Advances in Mathematical Physics 2010 (2010): 1–21. http://dx.doi.org/10.1155/2010/389091.

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An algebraic scheme for constructing deformations of structure constants for associative algebras generated by deformation driving algebras (DDAs) is discussed. An ideal of left divisors of zero plays a central role in this construction. Deformations of associative three-dimensional algebras with the DDA being a three-dimensional Lie algebra and their connection with integrable systems are studied.

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CONSOLE, S., A. FINO, and Y. S. POON. "STABILITY OF ABELIAN COMPLEX STRUCTURES." International Journal of Mathematics 17, no. 04 (2006): 401–16. http://dx.doi.org/10.1142/s0129167x06003576.

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Let M = Γ\G be a nilmanifold endowed with an invariant complex structure. We prove that Kuranishi deformations of abelian complex structures are all invariant complex structures, generalizing a result in [7] for 2-step nilmanifolds. We characterize small deformations that remain abelian. As an application, we observe that at real dimension six, the deformation process of abelian complex structures is stable within the class of nilpotent complex structures. We give an example to show that this property does not hold in higher dimension.

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Nemirovskii, Yu V., and S. V. Tikhonov. "The limit state of concrete and reinforced concrete rods at complex and longitudinal-transverse bending." PNRPU Mechanics Bulletin, no. 1 (December 15, 2020): 60–73. http://dx.doi.org/10.15593/perm.mech/2020.1.05.

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The work considers rods with a constant cross-section. The deformation law of each layer of the rod is adopted as an approximation by a polynomial of the second order. The method of determining the coefficients of the indicated polynomial and the limit deformations under compression and tension of the material of each layer is described with the presence of three traditional characteristics: modulus of elasticity, limit stresses at compression and tension. On the basis of deformation diagrams of the concrete grades B10, B30, B50 under tension and compression, these coefficients are determined

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28

Schätz, Florian, and Marco Zambon. "Deformations of Pre-symplectic Structures and the Koszul L∞-algebra." International Mathematics Research Notices 2020, no. 14 (2018): 4191–237. http://dx.doi.org/10.1093/imrn/rny123.

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Abstract We study the deformation theory of pre-symplectic structures, that is, closed 2-forms of fixed rank. The main result is a parametrization of nearby deformations of a given pre-symplectic structure in terms of an $L_{\infty }$-algebra, which we call the Koszul $L_{\infty }$-algebra. This $L_{\infty }$-algebra is a cousin of the Koszul dg Lie algebra associated to a Poisson manifold. In addition, we show that a quotient of the Koszul $L_{\infty }$-algebra is isomorphic to the $L_{\infty }$-algebra that controls the deformations of the underlying characteristic foliation. Finally, we sho

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Tsai, M. Y., C. H. Huang, and C. Y. Huang. "Hygrothermal Effect on Deformations of QFN Electronic Packaging." Journal of Mechanics 22, no. 4 (2006): 271–79. http://dx.doi.org/10.1017/s1727719100000927.

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AbstractThe hygrothermal-mechanical behavior of a quad flat non-lead (QFN) package without a chip inside is investigated experimentally and numerically. The present study is focused on understanding the effect of the inherent hygrothermal behaviors of epoxy molding compound (EMC) on the deformations of QFN package. Prior to studying the package, the coefficient of moisture expansion for the EMC is measured experimentally. Full-field moiré and Twyman-Green interferometries are used for measuring the real-time in-plane and out-of-plane deformations of the specimen, respectively, under thermal an

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Lu, Yi, Zhuohong Dai, and Yang Lu. "Precise Stiffness and Elastic Deformations of Serial–Parallel Manipulators by Considering Inertial Wrench of Moving Links." Robotica 38, no. 12 (2020): 2204–20. http://dx.doi.org/10.1017/s0263574720000041.

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SUMMARYA general serial–parallel manipulator connected in series by two different parallel manipulators with linear active legs is constructed. Its precise stiffness and elastic deformations are studied systematically. Its unified precise stiffness and precise elastic deformation models are established by considering both the moving links inertial wrench and the dynamic active/constrained wrench. A 3SPR+3RPS-type serial–parallel manipulator is illustrated for solving its precise stiffness and precise elastic deformation. The derived formulae of the precise stiffness and the precise elastic def

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31

Lei, Chunli, Fuhong Li, Baoru Gong, and Xibin Jia. "An Integrated Model to Characterize Comprehensive Stiffness of Angular Contact Ball Bearings." Mathematical Problems in Engineering 2020 (April 7, 2020): 1–12. http://dx.doi.org/10.1155/2020/4951828.

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The bearing dynamic behaviors will be complicated due to the changes in the geometric sizes and relative positions of the bearing components at high speed. In this paper, based on the Hertz contact theory, elastohydrodynamic lubrication (EHL) model, and Jones’ bearing theory, the comprehensive stiffness model of the angular contact ball bearing is proposed in consideration of the effects of elastic deformation, centrifugal deformation, thermal deformation, and the ball spinning motion. The influences of these factors on bearing dynamic stiffness are investigated in detail. The calculation resu

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32

FIALOWSKI, ALICE, and MICHAEL PENKAVA. "VERSAL DEFORMATIONS OF THREE-DIMENSIONAL LIE ALGEBRAS AS L∞ ALGEBRAS." Communications in Contemporary Mathematics 07, no. 02 (2005): 145–65. http://dx.doi.org/10.1142/s0219199705001702.

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We consider versal deformations of 0|3-dimensional L∞ algebras, also called strongly homotopy Lie algebras, which correspond precisely to ordinary (non-graded) three-dimensional Lie algebras. The classification of such algebras is well-known, although we shall give a derivation of this classification using an approach of treating them as L∞ algebras. Because the symmetric algebra of a three-dimensional odd vector space contains terms only of exterior degree less than or equal to three, the construction of versal deformations can be carried out completely. We give a characterization of the modu

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33

Yang, Wenmao. "On the isometry of surfaces preserving the lines of curvature." Bulletin of the Australian Mathematical Society 42, no. 2 (1990): 231–45. http://dx.doi.org/10.1017/s0004972700028392.

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In this paper we study the isometric deformations of surfaces in E3, which preserve the lines of curvature. We call a surface M and LC-surface if it admits a non-trivial deformation of this type. We distinguish three types of LC-surfaces, and obtain some new results about these three types of surfaces.

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34

Liu, Rui Qing, Li Jun Peng, and Jian Sheng Yang. "Mathematic Model of Recrystallization of Cu-20Ni-5Sn Alloy." Advanced Materials Research 239-242 (May 2011): 2252–56. http://dx.doi.org/10.4028/www.scientific.net/amr.239-242.2252.

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Research the kinetic mechanism of grain growth of recrystallization of Cu-20Ni-5Sn alloy. The research result shows that the recrystallization temperature declines with the increase of cold-deformation. The recrystallization temperature is at about 500°C ~650°C respectively for 50% and 60% total cold deformation, and is about 470°C ~620°C respectively for 70% and 85% total deformation. The grains grow up with the increase of annealing temperature and holding time. The mathematic model of average grain size can be described as that Cu-20Ni-5Sn alloy annealed at 620°C ~680°C holding 2~10hours.

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Bustamante, Roger. "Some topics on a new class of elastic bodies." Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences 465, no. 2105 (2009): 1377–92. http://dx.doi.org/10.1098/rspa.2008.0427.

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In this paper, we study the problem of prescribing deformation as a function of stresses. For the particular case of small deformations, we find a weak formulation, from which we define the constitutive equation of a Green-like material, where an energy function that depends on the Cauchy stress tensor is proposed. Constraints on the deformation are studied for this new class of elastic bodies.

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CARTER, J. SCOTT, ALISSA S. CRANS, MOHAMED ELHAMDADI, ENVER KARADAYI, and MASAHICO SAITO. "COHOMOLOGY OF FROBENIUS ALGEBRAS AND THE YANG-BAXTER EQUATION." Communications in Contemporary Mathematics 10, supp01 (2008): 791–814. http://dx.doi.org/10.1142/s0219199708003022.

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A cohomology theory for multiplications and comultiplications of Frobenius algebras is developed in low dimensions, in analogy with Hochschild cohomology of bialgebras, based on deformation theory. Concrete computations are provided for key examples. Skein theoretic constructions give rise to solutions to the Yang-Baxter equation, using multiplications and comultiplications of Frobenius algebras, and 2-cocycles are used to obtain deformations of R-matrices thus obtained.

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37

Bremner, Murray. "Quantum Deformations of Simple Lie Algebras." Canadian Mathematical Bulletin 40, no. 2 (1997): 143–48. http://dx.doi.org/10.4153/cmb-1997-017-6.

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AbstractIt is shown that every simple complex Lie algebra 𝔤 admits a 1-parameter family 𝔤q of deformations outside the category of Lie algebras. These deformations are derived from a tensor product decomposition for Uq(𝔤)-modules; here Uq(𝔤) is the quantized enveloping algebra of 𝔤. From this it follows that the multiplication on 𝔤q is Uq(𝔤)-invariant. In the special case 𝔤 = (2), the structure constants for the deformation 𝔤 (2)q are obtained from the quantum Clebsch-Gordan formula applied to V(2)q ⊗ V(2)q; here V(2)q is the simple 3-dimensional Uq(𝔤(2))-module of highest weight q2.

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Liang, Jing Long, Yun Li Feng, Jin Zhi Yin, Da Qiang Cang, and Hui Li. "The Mathematic Model of Deformation Resistance of S50C Medium Carbon Steel in Hot Rolling Process." Advanced Materials Research 652-654 (January 2013): 2043–47. http://dx.doi.org/10.4028/www.scientific.net/amr.652-654.2043.

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A test study of deformation resistance of S50C medium carbon steel in hot rolling process was conducted by using Gleeble 3500 Thermal-mechanical testing machine. The relationship of deformation resistance with different deformation temperature and deformation rate and deformation degree was analyzed through the stress-strain curve of S50C medium carbon steel which measured in the test. The results show that the deformation resistance increase with decrease of deformation temperature and increase of deformation rate and deformation degree. The math model of plastic deformation for metal of test

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Gavini, Vikram. "Role of the defect core in energetics of vacancies." Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences 465, no. 2110 (2009): 3239–66. http://dx.doi.org/10.1098/rspa.2009.0136.

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Electronic structure calculations at macroscopic scales are employed to investigate the crucial role of a defect core in the energetics of vacancies in aluminium. We find that vacancy core energy is significantly influenced by the state of deformation at the vacancy core, especially volumetric strains. Insights from the core electronic structure and computed displacement fields show that this dependence on volumetric strains is closely related to the changing nature of the core structure under volumetric deformations. These results are in sharp contrast to mechanics descriptions based on elast

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Lu, Shi-kun, Deng-xin Hua, Yan Li, Fang-yuan Cui, and Peng-yang Li. "Stiffness Calculation Model of Thread Connection Considering Friction Factors." Mathematical Problems in Engineering 2019 (January 23, 2019): 1–19. http://dx.doi.org/10.1155/2019/8424283.

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In order to design a reasonable thread connection structure, it is necessary to understand the axial force distribution of threaded connections. For the application of bolted connection in mechanical design, it is necessary to estimate the stiffness of threaded connections. A calculation model for the distribution of axial force and stiffness considering the friction factor of the threaded connection is established in this paper. The method regards the thread as a tapered cantilever beam. Under the action of the thread axial force, in the consideration of friction, the two cantilever beams int

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41

Sako, Akifumi. "Recent Developments in Instantons in Noncommutative." Advances in Mathematical Physics 2010 (2010): 1–28. http://dx.doi.org/10.1155/2010/270694.

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We review recent developments in noncommutative deformations of instantons in . In the operator formalism, we study how to make noncommutative instantons by using the ADHM method, and we review the relation between topological charges and noncommutativity. In the ADHM methods, there exist instantons whose commutative limits are singular. We review smooth noncommutative deformations of instantons, spinor zero-modes, the Green's functions, and the ADHM constructions from commutative ones that have no singularities. It is found that the instanton charges of these noncommutative instanton solution

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Altmann, Klaus, and János Kollár. "The dualizing sheaf on first-order deformations of toric surface singularities." Journal für die reine und angewandte Mathematik (Crelles Journal) 2019, no. 753 (2019): 137–58. http://dx.doi.org/10.1515/crelle-2016-0063.

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AbstractWe explicitly describe infinitesimal deformations of cyclic quotient singularities that satisfy one of the deformation conditions introduced by Wahl, Kollár–Shepherd-Barron (KSB) and Viehweg. The conclusion is that in many cases these three notions are different from each other. In particular, we see that while the KSB and the Viehweg versions of the moduli space of surfaces of general type have the same underlying reduced subscheme, their infinitesimal structures are different.

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43

Partsch, Holger. "Deformations of elliptic fiber bundles in positive characteristic." Nagoya Mathematical Journal 211 (September 2013): 79–108. http://dx.doi.org/10.1017/s0027763000010795.

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AbstractWe study the deformation theory of elliptic fiber bundles over curves in positive characteristics. As applications, we give examples of nonliftable elliptic surfaces in characteristics 2 and 3, which answer a question of Katsura and Ueno. Also, we construct a class of elliptic fibrations, whose liftability is equivalent to a conjecture of Oort concerning the liftability of automorphisms of curves. Finally, we classify deformations of bielliptic surfaces.

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Partsch, Holger. "Deformations of elliptic fiber bundles in positive characteristic." Nagoya Mathematical Journal 211 (September 2013): 79–108. http://dx.doi.org/10.1215/00277630-2141608.

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AbstractWe study the deformation theory of elliptic fiber bundles over curves in positive characteristics. As applications, we give examples of nonliftable elliptic surfaces in characteristics 2 and 3, which answer a question of Katsura and Ueno. Also, we construct a class of elliptic fibrations, whose liftability is equivalent to a conjecture of Oort concerning the liftability of automorphisms of curves. Finally, we classify deformations of bielliptic surfaces.

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Lăzureanu, Cristian. "Hamilton-Poisson Realizations of the Integrable Deformations of the Rikitake System." Advances in Mathematical Physics 2017 (2017): 1–9. http://dx.doi.org/10.1155/2017/4596951.

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Integrable deformations of an integrable case of the Rikitake system are constructed by modifying its constants of motions. Hamilton-Poisson realizations of these integrable deformations are given. Considering two concrete deformation functions, a Hamilton-Poisson approach of the obtained system is presented. More precisely, the stability of the equilibrium points and the existence of the periodic orbits are proved. Furthermore, the image of the energy-Casimir mapping is determined and its connections with the dynamical elements of the considered system are pointed out.

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Pashaev, Oktay K., and Jyh-Hao Lee. "Black holes and solitons of the quantized dispersionless NLS and DNLS equations." ANZIAM Journal 44, no. 1 (2002): 73–81. http://dx.doi.org/10.1017/s1446181100007926.

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AbstractThe classical dynamics of non-relativistic particles are described by the Schrödinger wave equation, perturbed by quantum potential nonlinearity. Quantization of this dispersionless equation, implemented by deformation of the potential strength, recovers the standard Schrödinger equation. In addition, the classically forbidden region corresponds to the Planck constant analytically continued to pure imaginary values. We apply the same procedure to the NLS and DNLS equations, constructing first the corresponding dispersionless limits and then adding quantum deformations. All these deform

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Kumar, Sandeep, and David M. Parks. "On the hyperelastic softening and elastic instabilities in graphene." Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences 471, no. 2173 (2015): 20140567. http://dx.doi.org/10.1098/rspa.2014.0567.

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Elastic material instabilities are precursors to failure in defect-free graphene single crystals. Elastic instabilities originate from softening in the material response (decay of tangent moduli) induced by dilatant mechanical deformation. Here, we characterize the softening in the constitutive response of graphene within the framework of hyperelasticity based on symmetry-invariants of the two-dimensional logarithmic strain tensor E (0) . The use of symmetry-invariants provides significant functional simplification in representation of the strain energy function of graphene; ab initio calculat

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RAKHIMOV, ISAMIDDIN S., та MUNTHER A. HASSAN. "ON ISOMORPHISM CRITERIA FOR LEIBNIZ CENTRAL EXTENSIONS OF A LINEAR DEFORMATION OF μn". International Journal of Algebra and Computation 21, № 05 (2011): 715–29. http://dx.doi.org/10.1142/s021819671100642x.

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This paper deals with the classification problems of Leibniz central extensions of linear deformations of a Lie algebra. It is known that any n-dimensional filiform Lie algebra can be represented as a linear deformation of n-dimensional filiform Lie algebra μn given by the brackets [ei, e0] = ei+1, i = 0,1,…,n - 2, in a basis {e0, e1,…,en - 1}. In this paper we consider a linear deformation of μn and its Leibniz central extensions. The resulting algebras are Leibniz algebras, this class is denoted here by Ced (μn). We choose an appropriate basis of Ced (μn) and give general isomorphism criteri

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DE BARTOLOMEIS, PAOLO, and ANDREI IORDAN. "DEFORMATIONS OF LEVI FLAT STRUCTURES IN SMOOTH MANIFOLDS." Communications in Contemporary Mathematics 16, no. 02 (2014): 1350015. http://dx.doi.org/10.1142/s0219199713500156.

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We study intrinsic deformations of Levi flat structures on a smooth manifold. A Levi flat structure on a smooth manifold L is a couple (ξ, J) where ξ ⊂ T(L) is an integrable distribution of codimension 1 and J : ξ → ξ is a bundle automorphism which defines a complex integrable structure on each leaf. A deformation of a Levi flat structure (ξ, J) is a smooth family {(ξt, Jt)}t∈]-ε,ε[ of Levi flat structures on L such that (ξ0, J0) = (ξ, J). We define a complex whose cohomology group of order 1 contains the infinitesimal deformations of a Levi flat structure. In the case of real analytic Levi fl

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Zhang, Guoxin, Zhengqi Lei, and Heng Cheng. "Shear Creep Simulation of Structural Plane of Rock Mass Based on Discontinuous Deformation Analysis." Mathematical Problems in Engineering 2017 (2017): 1–13. http://dx.doi.org/10.1155/2017/1582825.

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Numerical simulations of the creep characteristics of the structural plane of rock mass are very useful. However, most existing simulation methods are based on continuum mechanics and hence are unsuitable in the case of large displacements and deformations. The discontinuous deformation analysis method proposed by Genhua is a discrete one and has a significant advantage when simulating the contacting problem of blocks. In this study, we combined the viscoelastic rheological model of Burgers with the discontinuous deformation analysis (DDA) method. We also derived the recurrence formula for the

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