Academic literature on the topic 'Deformation <Mathematik>'

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Journal articles on the topic "Deformation <Mathematik>"

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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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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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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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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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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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 &gt; 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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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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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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