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Journal articles on the topic 'Half planes'

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Published: 4 June 2021
Last updated: 1 February 2022

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1

Polster, Burkard, Nils Rosehr, and G�nter F. Steinke. "Half-ovoidal flat Laguerre planes." Journal of Geometry 60, no. 1-2 (November 1997): 113–26. http://dx.doi.org/10.1007/bf01252222.

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2

Smorodinsky, Shakhar, and Yelena Yuditsky. "Polychromatic coloring for half-planes." Journal of Combinatorial Theory, Series A 119, no. 1 (January 2012): 146–54. http://dx.doi.org/10.1016/j.jcta.2011.07.001.

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3

Konyagin, Sergei V., and Vsevolod F. Lev. "Character sums in complex half-planes." Journal de Théorie des Nombres de Bordeaux 16, no. 3 (2004): 587–606. http://dx.doi.org/10.5802/jtnb.463.

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4

Lin'Kov, A. M. "Elasticity problems involving coupled half-planes." Journal of Applied Mathematics and Mechanics 63, no. 6 (January 1999): 927–35. http://dx.doi.org/10.1016/s0021-8928(00)00010-1.

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5

Zeng, Y., and S. Weinbaum. "Stokes problems for moving half-planes." Journal of Fluid Mechanics 287 (March 25, 1995): 59–74. http://dx.doi.org/10.1017/s0022112095000851.

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New exact solutions of the Navier–Stokes equations are obtained for the unbounded and bounded oscillatory and impulsive tangential edgewise motion of touching half-infinite plates in their own plane. In contrast to Stokes classical solutions for the harmonic and impulsive motion of an infinite plane wall, where the solutions are separable or have a simple similarity form, the present solutions have a two-dimensional structure in the near region of the contact between the half-infinite plates. Nevertheless, it is possible to obtain relatively simple closed-form solutions for the flow field in each case by defining new variables which greatly simplify the r- and θ-dependence of the solutions in the vicinity of the contact region. These solutions for flow in a half-infinite space are then extended to bounded flows in a channel using an image superposition technique. The impulsive motion has application to the motion near geophysical faults, whereas the oscillatory motion has arisen in the design of a novel oscillating half-plate flow chamber for examining the effect of fluid shear stress on cultured cell monolayers.
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6

Barnard, Roger W., Clint Richardson, and Alexander Yu Solynin. "Concentration of area in half-planes." Proceedings of the American Mathematical Society 133, no. 07 (January 31, 2005): 2091–99. http://dx.doi.org/10.1090/s0002-9939-05-07775-0.

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7

Skiena, Steven S. "Probing convex polygons with half-planes." Journal of Algorithms 12, no. 3 (September 1991): 359–74. http://dx.doi.org/10.1016/0196-6774(91)90009-n.

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8

Keszegh, Balázs. "Coloring half-planes and bottomless rectangles." Computational Geometry 45, no. 9 (November 2012): 495–507. http://dx.doi.org/10.1016/j.comgeo.2011.09.004.

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9

Umul, Yusuf Ziya. "Wave diffraction by material half-planes." Optik 130 (February 2017): 840–53. http://dx.doi.org/10.1016/j.ijleo.2016.11.019.

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10

VIGLIETTA, GIOVANNI. "SEARCHING POLYHEDRA BY ROTATING HALF-PLANES." International Journal of Computational Geometry & Applications 22, no. 03 (June 2012): 243–75. http://dx.doi.org/10.1142/s0218195912500070.

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THE SEARCHLIGHT SCHEDULING PROBLEM was first studied in 2-dimensional polygons, where the goal is for point guards in fixed positions to rotate searchlights to catch an evasive intruder. Here the problem is extended to 3-dimensional polyhedra, with the guards now boundary segments who rotate half-planes of illumination. After carefully detailing the 3-dimensional model, several results are established. The first is a nearly direct extension of the planar one-way sweep strategy using what filling guards, a generalization that succeeds despite there being no well-defined we call notion in 3-dimensional space of planar "clockwise rotation." Next follow two results: every polyhedron with r > 0 reflex edges can be searched by at most r2 suitably placed boundary guards, whereas just r edguards suffice if the polyhedron is orthogonal. (Mini-mizing the number of guards to search a given polyhedron is easily seen to be NP-hard.) Finally we show that deciding whether a given set of boundary guards has a successful search schedule is strongly NP-hard. A number of peripheral results are proved en route to these central theorems, and several open problems remain for future work.
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11

GERLA, GIANGIACOMO, and RAFAŁ GRUSZCZYŃSKI. "POINT-FREE GEOMETRY, OVALS, AND HALF-PLANES." Review of Symbolic Logic 10, no. 2 (January 23, 2017): 237–58. http://dx.doi.org/10.1017/s1755020316000423.

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AbstractIn this paper we develop a point-free system of geometry based on the notions of region, parthood, and ovality, the last one being a region-based counterpart of the notion of convex set. In order to show that the system we propose is sufficient to reconstruct an affine geometry we make use of a theory of a Polish mathematician Aleksander Śniatycki from [15], in which the concept of half-plane is assumed as basic.
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12

Angel, Jeff. "Finite Upper Half Planes over Finite Fields." Finite Fields and Their Applications 2, no. 1 (January 1996): 62–86. http://dx.doi.org/10.1006/ffta.1996.0005.

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13

Schade, Derek T., Kevin Oditt, and Dale G. Karr. "Thermoelastic Stability of Two Bonded Half Planes." Journal of Engineering Mechanics 126, no. 9 (September 2000): 981–85. http://dx.doi.org/10.1061/(asce)0733-9399(2000)126:9(981).

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14

Jäger, J. "Half-planes without coupling under contact loading." Archive of Applied Mechanics (Ingenieur Archiv) 67, no. 4 (April 29, 1997): 247–59. http://dx.doi.org/10.1007/s004190050115.

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15

Fiori, Carla. "A Class of Non-Ordinary Half-Planes." Results in Mathematics 17, no. 1-2 (March 1990): 78–82. http://dx.doi.org/10.1007/bf03322631.

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16

Gao, Yang. "Green’s functions for infinite planes and half-planes consisting of quasicrystal bi-materials." Journal of Zhejiang University-SCIENCE A 11, no. 10 (October 2010): 835–40. http://dx.doi.org/10.1631/jzus.a1000119.

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17

Johansson, L. "Contact With Friction Between Two Elastic Half-Planes." Journal of Applied Mechanics 60, no. 3 (September 1, 1993): 737–42. http://dx.doi.org/10.1115/1.2900866.

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In the present paper the problem of contact with friction between two elastic bodies is formulated in the form of variational inequalities using half-plane assumptions for the elastic behavior. The formulation fits directly into a computational method developed in a previous paper and some numerical examples investigating the effects of using dissimilar elastic constants in the bodies and of using different load paths in the application of the external forces are given.
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18

Caragui, Mihai. "On a class of finite upper half-planes." Discrete Mathematics 162, no. 1-3 (December 1996): 49–66. http://dx.doi.org/10.1016/s0012-365x(97)89266-7.

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19

Dorronsoro, Jose R. "Weighted Hardy Spaces on Siegel 's Half Planes." Mathematische Nachrichten 125, no. 1 (1986): 103–19. http://dx.doi.org/10.1002/mana.19861250107.

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20

Steinke, G�nter F. "Semi-classical projective planes over half-ordered fields." Geometriae Dedicata 58, no. 1 (November 1995): 21–44. http://dx.doi.org/10.1007/bf01263473.

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21

Nuller, B. M. "Contact problems for systems of elastic half-planes." Journal of Applied Mathematics and Mechanics 54, no. 2 (January 1990): 249–53. http://dx.doi.org/10.1016/0021-8928(90)90041-8.

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22

Andresen, H., D. A. Hills, and M. R. Moore. "Representation of incomplete contact problems by half-planes." European Journal of Mechanics - A/Solids 85 (January 2021): 104138. http://dx.doi.org/10.1016/j.euromechsol.2020.104138.

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23

Umul, Yusuf Ziya. "Diffraction by material half-planes for grazing incidence." Optik 158 (April 2018): 326–31. http://dx.doi.org/10.1016/j.ijleo.2017.12.132.

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24

Feng, W. J., E. Pan, X. Wang, and J. Jin. "Rayleigh waves in magneto-electro-elastic half planes." Acta Mechanica 202, no. 1-4 (June 11, 2008): 127–34. http://dx.doi.org/10.1007/s00707-008-0024-8.

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25

Brock, L. M., M. Rodgers, and H. G. Georgiadis. "Dynamic thermoelastic effects for half-planes and half-spaces with nearly-planar surfaces." Journal of Elasticity 44, no. 3 (September 1996): 229–54. http://dx.doi.org/10.1007/bf00042134.

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26

Pindera, M. J., and M. S. Lane. "Frictionless Contact of Layered Half-Planes, Part I: Analysis." Journal of Applied Mechanics 60, no. 3 (September 1, 1993): 633–39. http://dx.doi.org/10.1115/1.2900851.

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A method is presented for the solution of frictionless contact problems on multilayered half-planes consisting of an arbitrary number of isotropic, orthotropic, or monoclinic layers arranged in any sequence. A displacement formulation is employed and the resulting Navier equations that govern the distribution of displacements in the individual layers are solved using Fourier transforms. A local stiffness matrix in the transform domain is formulated for each layer which is then assembled into a global stiffness matrix for the entire multilayered half-plane by enforcing continuity conditions along the interfaces. Application of the mixed boundary condition on the top surface of the medium subjected to the force of the indenter results in an integral equation for the unknown pressure in the contact region. The integral possesses a divergent kernel which is decomposed into Cauchy type and regular parts using the asymptotic properties of the local stiffness matrix and the ensuing relation between Fourier and finite Hilbert transform of the contact pressure. For homogeneous half-planes, the kernel consists only of the Cauchy-type singularity which results in a closed-form solution for the contact stress. For multilayered half-planes, the solution of the resulting singular integral equation is obtained using a collocation technique based on the properties of orthogonal polynomials. Part I of this paper outlines the analytical development of the technique. In Part II a number of numerical examples is presented addressing the effect of off-axis plies on contact stress distribution and load versus contact length in layered composite half-planes.
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27

Ludewig, Matthias, and Guo Chuan Thiang. "Gaplessness of Landau Hamiltonians on Hyperbolic Half-planes via Coarse Geometry." Communications in Mathematical Physics 386, no. 1 (April 20, 2021): 87–106. http://dx.doi.org/10.1007/s00220-021-04068-0.

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AbstractWe use coarse index methods to prove that the Landau Hamiltonian on the hyperbolic half-plane, and even on much more general imperfect half-spaces, has no spectral gaps. Thus the edge states of hyperbolic quantum Hall Hamiltonians completely fill up the gaps between Landau levels, just like those of the Euclidean counterparts.
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28

Povstenko, Yuriy, and Joanna Klekot. "Time-Fractional Heat Conduction in Two Joint Half-Planes." Symmetry 11, no. 6 (June 16, 2019): 800. http://dx.doi.org/10.3390/sym11060800.

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The heat conduction equations with Caputo fractional derivative are considered in two joint half-planes under the conditions of perfect thermal contact. The fundamental solution to the Cauchy problem as well as the fundamental solution to the source problem are examined. The Fourier and Laplace transforms are employed. The Fourier transforms are inverted analytically, whereas the Laplace transform is inverted numerically using the Gaver–Stehfest method. We give a graphical representation of the numerical results.
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29

Azarkhin, A., and J. R. Barber. "Transient Contact of Two Sliding Half-Planes With Wear." Journal of Tribology 109, no. 4 (October 1, 1987): 598–603. http://dx.doi.org/10.1115/1.3261515.

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We study the transient contact of two sliding bodies with a simple geometry. The model employs the Archard law of wear in which the rate of material removal is proportional to pressure and speed of sliding. The problem is formulated in terms of two governing equations with unknown pressure and heat flux at the interface. The equations are solved numerically, using appropriately chosen Green’s functions. We start with a single area of contact. As a result of frictional heating and thermal expansion, the contact area shrinks, which leads to further localization of pressure and temperature. The role of wear is twofold. By removing protruding portions of the two bodies, wear tends to smoothen out pressure and temperature. On the other hand, it causes the contact area to grow sufficiently large to become unstable and bifurcate. Areas carrying load are eventually removed by wear, and the contact moves elsewhere. The system develops a cyclic behavior in which contact and non-contact areas interchange.
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30

Da Silva, Eduardo Brandani, Maycow Gonçalves Carneiro, and Emerson Vitor Castelani. "New quasi-cyclic codes from finite upper half-planes." International Journal of Information and Coding Theory 5, no. 3/4 (2020): 239. http://dx.doi.org/10.1504/ijicot.2020.10032823.

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31

Silva, Eduardo Brandani Da, Emerson Vitor Castelani, and Maycow Gonçalves Carneiro. "New quasi-cyclic codes from finite upper half-planes." International Journal of Information and Coding Theory 5, no. 3/4 (2020): 239. http://dx.doi.org/10.1504/ijicot.2020.110737.

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32

Liu, Chi-Min. "Extended Stokes' Problems for Relatively Moving Porous Half-Planes." Mathematical Problems in Engineering 2009 (2009): 1–10. http://dx.doi.org/10.1155/2009/185965.

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A shear flow motivated by relatively moving half-planes is theoretically studied in this paper. Either the mass influx or the mass efflux is allowed on the boundary. This flow is called the extended Stokes' problems. Traditionally, exact solutions to the Stokes' problems can be readily obtained by directly applying the integral transforms to the momentum equation and the associated boundary and initial conditions. However, it fails to solve the extended Stokes' problems by using the integral-transform method only. The reason for this difficulty is that the inverse transform cannot be reduced to a simpler form. To this end, several crucial mathematical techniques have to be involved together with the integral transforms to acquire the exact solutions. Moreover, new dimensionless parameters are defined to describe the flow phenomena more clearly. On the basis of the exact solutions derived in this paper, it is found that the mass influx on the boundary hastens the development of the flow, and the mass efflux retards the energy transferred from the plate to the far-field fluid.
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33

Meister, E., and K. Rottbrand. "Elastodynamical Scattering by N Parallel Half-Planes in IR3." Mathematische Nachrichten 177, no. 1 (1996): 189–232. http://dx.doi.org/10.1002/mana.19961770112.

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34

Beck, J., and W. W. L. Chen. "Irregularities of point distribution relative to half‐planes I." Mathematika 40, no. 1 (June 1993): 102–26. http://dx.doi.org/10.1112/s0025579300013747.

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35

Bao, Gang, Guanghui Hu, and Tao Yin. "Time-Harmonic Acoustic Scattering from Locally Perturbed Half-Planes." SIAM Journal on Applied Mathematics 78, no. 5 (January 2018): 2672–91. http://dx.doi.org/10.1137/18m1164068.

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36

Steinke, G�nter F. "A classification of Minkowski planes over half-ordered fields." Journal of Geometry 69, no. 1-2 (November 2000): 192–214. http://dx.doi.org/10.1007/bf01237486.

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37

Zazashvili, Sh. "Contact problems for two anisotropic half-planes with slits." Georgian Mathematical Journal 1, no. 3 (May 1994): 325–41. http://dx.doi.org/10.1007/bf02254680.

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38

Zalipaev, V. V. "Short-wave grazing scattering by periodic inclined half-planes." Journal of Soviet Mathematics 57, no. 3 (November 1991): 3101–6. http://dx.doi.org/10.1007/bf01098976.

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39

Angel, J., C. Trimble, B. Shook, and A. Terras. "Graph spectra for finite upper half planes over rings." Linear Algebra and its Applications 226-228 (September 1995): 423–57. http://dx.doi.org/10.1016/0024-3795(95)00173-o.

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40

Azarkhin, A., and J. R. Barber. "Transient thermoelastic contact problem of two sliding half-planes." Wear 102, no. 1-2 (March 1985): 1–13. http://dx.doi.org/10.1016/0043-1648(85)90086-9.

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41

Zazashvili, SH. "Contact Problems for Two Anisotropic Half-Planes with Slits." gmj 1, no. 3 (June 1994): 325–41. http://dx.doi.org/10.1515/gmj.1994.325.

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Abstract The problem of a stressed state in a nonhomogeneous infinite plane consisting of two different anisotropic half-planes and having slits of the finite number on the interface line is investigated. It is assumed that a difference between the displacement and stress vector values is given on interface line segments; on the edges of slits we have the following data: boundary values of the stress vector (problem of stress) or displacement vector values on the one side of slits, and stress vector values on the other side (mixed problem). Solutions are constructed in quadratures.
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42

Tokovyy, Yuriy, and Chien-Ching Ma. "Analytical solutions to the 2D elasticity and thermoelasticity problems for inhomogeneous planes and half-planes." Archive of Applied Mechanics 79, no. 5 (June 3, 2008): 441–56. http://dx.doi.org/10.1007/s00419-008-0242-5.

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43

Wang, Xian Feng, Feng Xing, Norio Hasebe, and P. B. N. Prasad. "A Point Dislocation Interacting with an Elliptical Hole Located at a Bi-Material Interface." Applied Mechanics and Materials 151 (January 2012): 75–79. http://dx.doi.org/10.4028/www.scientific.net/amm.151.75.

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The problem of a point dislocation interacting with an elliptical hole at the interface of two bonded half-planes is studied. Complex stress potentials are obtained by applying the methods of complex variables and conformal mapping. A rational mapping function that maps a half plane with a semi-elliptical notch onto a unit circle is used for mapping the bonded half-planes. The solution derived can serve as Green’s function to study internal cracks interacting with an elliptical interfacial cavity.
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44

Krukowski, Mateusz. "Images of circles, lines, balls and half-planes under Möbius transformations." Journal of Applied Analysis 26, no. 2 (December 1, 2020): 209–20. http://dx.doi.org/10.1515/jaa-2020-2021.

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45

Pindera, M. J., and M. S. Lane. "Frictionless Contact of Layered Half-Planes, Part II: Numerical Results." Journal of Applied Mechanics 60, no. 3 (September 1, 1993): 640–45. http://dx.doi.org/10.1115/1.2900852.

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In Part I of this paper, analytical development of a method was presented for the solution of frictionless contact problems of multilayered half-planes consisting of an arbitrary number of isotropic, orthotropic, or monoclinic layers arranged in any sequence. The local/global stiffness matrix approach similar to the one proposed by Bufler (1971) was employed in formulating the surface mixed boundary condition for the unknown stress in the contact region. This approach naturally facilitates decomposition of the integral equation for the contact stress distribution on the top surface of an arbitrarily laminated half-plane into singular and regular parts that, in turn, can be solved using a numerical collocation technique. In Part II of this paper, a number of numerical examples is presented addressing the effect of off-axis plies on contact stress distribution and load versus contact length in layered half-planes laminated with unidirectionally reinforced composite plies. The results indicate that for the considered unidirectional composite, the load versus contact length response is significantly influenced by the orientation of the surface layer and the underlying half-plane, while the corresponding contact stress profiles are considerably less affected.
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46

Gaur, A. K. "Closed discs, half planes and spectral states in l.m.c. algebras." Annals of Functional Analysis 6, no. 1 (2015): 227–34. http://dx.doi.org/10.15352/afa/06-1-17.

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47

Kim, Sang-Youp, Gyu-Tae Kim, Gi-Hui Lee, Jae-Ho Lee, and Gwang-Hyun Park. "ASYMPTOTIC BEHAVIORS OF JENSEN TYPE FUNCTIONAL EQUATIONS IN HALF PLANES." Pure and Applied Mathematics 18, no. 2 (May 31, 2011): 113–28. http://dx.doi.org/10.7468/jksmeb.2011.18.2.113.

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48

Alkhairy, Samiya. "Frequency-dependent analytic models for scattering off finite half planes." Journal of the Acoustical Society of America 148, no. 4 (October 2020): 2494. http://dx.doi.org/10.1121/1.5146913.

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49

Shin, Jeong Woo, and Kang Yong Lee. "Eccentric crack in a piezoelectric strip bonded to half planes." European Journal of Mechanics - A/Solids 19, no. 6 (November 2000): 989–97. http://dx.doi.org/10.1016/s0997-7538(00)01110-4.

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50

Alkumru, A. "Plane Wave Diffraction By Three Parallel Thick Impedance Half-Planes." Journal of Electromagnetic Waves and Applications 12, no. 6 (January 1998): 801–19. http://dx.doi.org/10.1163/156939398x01051.

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