Relevant bibliographies by topics / Polygonal

Contents

  1. Journal articles
  2. Dissertations / Theses
  3. Books
  4. Book chapters
  5. Conference papers
  6. Reports

Academic literature on the topic 'Polygonal'

Author: Grafiati
Published: 4 June 2021
Last updated: 5 February 2022

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Journal articles on the topic "Polygonal"

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BRUCKSTEIN, ALFRED M., GUILLERMO SAPIRO, and DORON SHAKED. "EVOLUTIONS OF PLANAR POLYGONS." International Journal of Pattern Recognition and Artificial Intelligence 09, no. 06 (1995): 991–1014. http://dx.doi.org/10.1142/s0218001495000407.

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Evolutions of closed planar polygons are studied in this work. In the first part of the paper, the general theory of linear polygon evolutions is presented, and two specific problems are analyzed. The first one is a polygonal analog of a novel affine-invariant differential curve evolution, for which the convergence of planar curves to ellipses was proved. In the polygon case, convergence to polygonal approximation of ellipses, polygo nal ellipses, is proven. The second one is related to cyclic pursuit problems, and convergence, either to polygonal ellipses or to polygonal circles, is proven. I
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DEVILLERS, OLIVIER. "SIMULTANEOUS CONTAINMENT OF SEVERAL POLYGONS: ANALYSIS OF THE CONTACT CONFIGURATIONS." International Journal of Computational Geometry & Applications 03, no. 04 (1993): 429–42. http://dx.doi.org/10.1142/s0218195993000270.

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The main concern of this paper is the detection of double contact configurations for some polygons moving in translation in a polygonal environment. We first establish some general properties about such configurations and give conditions of existence of double contacts for two or three objects. For three convex polygons moving in a polygonal environment or three simple polygons moving in a rectangle there always exists a double contact. Two examples without possibility of double contacts are given, one with three polygons (not convex) moving in a polygonal environment, and one with four convex
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Teymourtash, A. R., and M. Mokhlesi. "Experimental investigation of stationary and rotational structures in non-circular hydraulic jumps." Journal of Fluid Mechanics 762 (December 3, 2014): 344–60. http://dx.doi.org/10.1017/jfm.2014.646.

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AbstractWhen a vertical liquid jet impacts on a solid horizontal surface, the first expectation is to have a circular hydraulic jump. However, in some conditions, for highly viscous fluids, the transition from supercritical to subcritical flow occurs with non-circular shapes such as polygons. Indeed, a quick rotational wave appears on the circular jump before the formation of a polygonal form, which may be related to the Rayleigh–Plateau instability. In this paper, stable polygonal jumps are studied to complete this research. The region of stability is defined for polygonal jumps, and the depe
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Mahaney, William C., and Michael G. Boyer. "Notes on the Morphology and Genesis of Mud Polygons on Mount Kenya, East Africa." Géographie physique et Quaternaire 42, no. 1 (2007): 89–96. http://dx.doi.org/10.7202/032712ar.

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ABSTRACTMud polygons forming in a valley train deposit in Teleki Valley on Mount Kenya were studied with respect to their physical, mineralogical, chemical and biological characteristics. Developing in fine-grained alluvium of postglacial age, those polygonal systems are composed of numerous, and nearly isomorphous units, that appear close to existing drainages in areas stripped of vegetation cover. Stream erosion and animal activity (particularly rodents and Mount Kenya hyrax, e.g. cony) appear to be primarily responsible for the loss of plant cover. Field tests show that periodic wetting and
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Levy, Joseph S., David R. Marchant, and James W. Head. "Distribution and origin of patterned ground on Mullins Valley debris-covered glacier, Antarctica: the roles of ice flow and sublimation." Antarctic Science 18, no. 3 (2006): 385–97. http://dx.doi.org/10.1017/s0954102006000435.

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We map polygonally patterned ground formed in sublimation tills that overlie debris-covered glaciers in Mullins Valley and central Beacon Valley, in southern Victoria Land, Antarctica, and distinguish five morphological zones. Where the Mullins Valley debris-covered glacier debouches into Beacon Valley, polygonal patterning transitions from radial (orthogonal) intersections to non-oriented (hexagonal) intersections, providing a time-series of polygon evolution within a single microclimate. We offer the following model for polygon formation and evolution in the Mullins Valley system. Near-verti
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Zlotnik, Vitaly A., Dylan R. Harp, Elchin E. Jafarov, and Charles J. Abolt. "A Model of Ice Wedge Polygon Drainage in Changing Arctic Terrain." Water 12, no. 12 (2020): 3376. http://dx.doi.org/10.3390/w12123376.

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As ice wedge degradation and the inundation of polygonal troughs become increasingly common processes across the Arctic, lateral export of water from polygonal soils may represent an important mechanism for the mobilization of dissolved organic carbon and other solutes. However, drainage from ice wedge polygons is poorly understood. We constructed a model which uses cross-sectional flow nets to define flow paths of meltwater through the active layer of an inundated low-centered polygon towards the trough. The model includes the effects of evaporation and simulates the depletion of ponded water
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Wang, Chao, та Zhongzi Wang. "The limit shapes of midpoint polygons in ℝ3". Journal of Knot Theory and Its Ramifications 28, № 10 (2019): 1950062. http://dx.doi.org/10.1142/s0218216519500627.

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For a polygon in the [Formula: see text]-dimensional Euclidean space, we give two kinds of normalizations of its [Formula: see text]th midpoint polygon by a homothetic transformation and an affine transformation, respectively. As [Formula: see text] goes to infinity, the normalizations will approach “regular” polygons inscribed in an ellipse and a generalized Lissajous curve, respectively, where the curves may be degenerate. The most interesting case is when [Formula: see text], where polygons with all its [Formula: see text]th midpoint polygons knotted are discovered and discussed. Such polyg
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Kartoziia, Andrei. "Assessment of the Ice Wedge Polygon Current State by Means of UAV Imagery Analysis (Samoylov Island, the Lena Delta)." Remote Sensing 11, no. 13 (2019): 1627. http://dx.doi.org/10.3390/rs11131627.

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Modern degradation of Arctic permafrost promotes changes in tundra landscapes and leads to degradation of ice wedge polygons, which are the most widespread landforms of Arctic wetlands. Status assessment of polygon degradation is important for various environmental studies. We have applied the geographic information systems’ (GIS) analysis of data from unmanned aerial vehicles (UAV) to accurately assess the status of ice wedge polygon degradation on Samoylov Island. We used several modern models of polygon degradation for revealing polygon types, which obviously correspond to different stages
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İlhan, Hacer, and Haşmet Gürçay. "Polygon Morphing and Its Application in Orebody Modeling." Mathematical Problems in Engineering 2012 (2012): 1–9. http://dx.doi.org/10.1155/2012/732365.

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Three different polygon morphing methods are examined. The first one is based on the utilization of the trimmed skeleton of the symmetric difference of the source and target polygons as an intermediate polygon. The second one reduces the problem to the problem of morphing compatible planar triangulations and utilizes the representation of planar triangulations as a matrix constructed using barycentric coordinates of the planar triangulation's vertices relative to their neighbors. The third and last one describes the polygon by the parametric curve representation based on estimated Fourier para
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Wales, Nathan A., Jesus D. Gomez-Velez, Brent D. Newman, et al. "Understanding the relative importance of vertical and horizontal flow in ice-wedge polygons." Hydrology and Earth System Sciences 24, no. 3 (2020): 1109–29. http://dx.doi.org/10.5194/hess-24-1109-2020.

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Abstract. Ice-wedge polygons are common Arctic landforms. The future of these landforms in a warming climate depends on the bidirectional feedback between the rate of ice-wedge degradation and changes in hydrological characteristics. This work aims to better understand the relative roles of vertical and horizontal water fluxes in the subsurface of polygonal landscapes, providing new insights and data to test and calibrate hydrological models. Field-scale investigations were conducted at an intensively instrumented location on the Barrow Environmental Observatory (BEO) near Utqiaġvik, AK, USA.
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Dissertations / Theses on the topic "Polygonal"

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Chipatala, Overtone. "Polygonal numbers." Kansas State University, 2016. http://hdl.handle.net/2097/32923.

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Master of Science<br>Department of Mathematics<br>Todd Cochrane<br>Polygonal numbers are nonnegative integers constructed and represented by geometrical arrangements of equally spaced points that form regular polygons. These numbers were originally studied by Pythagoras, with their long history dating from 570 B.C, and are often referred to by the Greek mathematicians. During the ancient period, polygonal numbers were described by units which were expressed by dots or pebbles arranged to form geometrical polygons. In his "Introductio Arithmetica", Nicomachus of Gerasa (c. 100 A.D), thoroughly
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Eu, David. "Polygonal curve approximation." Thesis, McGill University, 1992. http://digitool.Library.McGill.CA:80/R/?func=dbin-jump-full&object_id=56992.

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Given a polygonal curve $P = lbrack p sb1,p sb2 ... p sb{n} rbrack$, the polygonal approximation problem considered in this thesis calls for determining a new curve $P sp prime = lbrack p sbsp{1}{ prime}, p sbsp{2}{ prime}, ..., p sbsp{m}{ prime} rbrack$ such that (i) m is significantly smaller than n, (ii) the vertices of $P sp prime$ are a subset of the vertices of P and (iii) any line segment $ lbrack p sbsp{A}{ prime}, p sbsp{A+1}{ prime} rbrack$ of $P sp prime$ that substitutes a chain $ lbrack p sb B, ...,p sb C rbrack$ in P is such that for all i where $B le i le C$, the approximation e
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陳健華 and Kin-wah Chan. "Multiresolution polygonal approximation." Thesis, The University of Hong Kong (Pokfulam, Hong Kong), 1998. http://hub.hku.hk/bib/B30257402.

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Chan, Kin-wah. "Multiresolution polygonal approximation /." Hong Kong : University of Hong Kong, 1998. http://sunzi.lib.hku.hk/hkuto/record.jsp?B1985965X.

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Boczko, Erik M. "Polygonal approximation for flows." Diss., Georgia Institute of Technology, 2002. http://hdl.handle.net/1853/27306.

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Aloupis, Greg. "Reconfigurations of polygonal structures." Thesis, McGill University, 2005. http://digitool.Library.McGill.CA:80/R/?func=dbin-jump-full&object_id=85114.

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This thesis contains new results on the subject of polygonal structure reconfiguration. Specifically, the types of structures considered here are polygons, polygonal chains, triangulations, and polyhedral surfaces. A sequence of vertices (points), successively joined by straight edges, is a polygonal chain. If the sequence is cyclic, then the object is a polygon. A planar triangulation is a set of vertices with a, maximal number of non-crossing straight edges joining them. A polyhedral surface is a three-dimensional structure consisting of flat polygonal faces that are joined by common
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陳穎韶 and Wing-shiu Chan. "Approximation of polygonal curves." Thesis, The University of Hong Kong (Pokfulam, Hong Kong), 1994. http://hub.hku.hk/bib/B31211240.

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Chan, Wing-shiu. "Approximation of polygonal curves /." [Hong Kong : University of Hong Kong], 1994. http://sunzi.lib.hku.hk/hkuto/record.jsp?B1378710X.

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Žák, Pavel. "Modelování postav - Polygonal wrapper." Master's thesis, Vysoké učení technické v Brně. Fakulta informačních technologií, 2007. http://www.nusl.cz/ntk/nusl-236897.

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This project is engaged in optimalization of 3D polygonal models. Main automatic and also manual principles and methods used in the area of character model optimalization are introduced and discussed. Next the approach named geometry mapping, which was created as a part of the project and enables the creation of models with desired topology, is described.
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Bonin, Arnaud Stephane. "Wrinkling in polygonal membranes." Thesis, University of Cambridge, 2012. https://www.repository.cam.ac.uk/handle/1810/246094.

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Larger telescopes are required by astronomers to see further into the depths of our Universe, in order to understand its origins and the origins of life. A solution is to replace conventional primary mirrors in space-telescopes by membrane reflectors, that can be folded and fitted into a spacecraft before launch. Once deployed, the membrane would provide a large reflective surface necessary to obtain images of faraway celestial objects. Whilst the primary mirror of a space-telescope needs to have a very precise shape, membranes can have an uncertain shape for they are prone to wrinkling. For t
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Books on the topic "Polygonal"

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Edelsbrunner, Herbert. Minimum polygonal separation. Dept. of Computer Science, University of Illinois at Urbana-Champaign, 1986.

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Polygonal interface problems. P. Lang, 1993.

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Gregory, John A. High order continuous polygonal patches. Brunel University, Department of Mathematics and Statistics, 1991.

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Gregory, John A. Polygonal patches of high order continuity. Brunel University,Department of Mathematics and Statistics, 1987.

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K, Ray Bimal, ed. Polygonal approximation and scale-space analysis. Apple Academic Press, 2013.

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Gregory, John A. Filling polygonal holes with bicubic patches. Brunel University,Department of Mathematics and Statistics, 1991.

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Gregory, John A. A C squared polygonal surface patch. Brunel University, Department of Mathematics and Statistics, 1987.

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Kedem, K. An efficient motion planning algorithm for a convex polygonal object in 2-dimensional polygonal space. Courant Institute of Mathematical Sciences, New York University, 1986.

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Kedem, K. An efficient motion planning algorithm for a convex polygonal object in 2-dimensional polygonal space. Courant Institute of Mathematical Sciences, New York University, 1986.

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DeHaemer, Michael Joseph. Simplification of objects rendered by polygonal approximation. Naval Postgraduate School, 1989.

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Book chapters on the topic "Polygonal"

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Diacu, Florin. "Polygonal RE." In Relative Equilibria of the Curved N-Body Problem. Atlantis Press, 2012. http://dx.doi.org/10.2991/978-94-91216-68-8_12.

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Sherman, Randy. "Polygonal Scanners." In Laser Beam Scanning. CRC Press, 2017. http://dx.doi.org/10.4324/9780203749142-3.

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Korteniemi, Jarmo, and Teemu Öhman. "Polygonal Crater." In Encyclopedia of Planetary Landforms. Springer New York, 2014. http://dx.doi.org/10.1007/978-1-4614-9213-9_275-1.

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Korteniemi, Jarmo, and Teemu Öhman. "Polygonal Crater." In Encyclopedia of Planetary Landforms. Springer New York, 2015. http://dx.doi.org/10.1007/978-1-4614-3134-3_275.

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Verkade, John G. "Polygonal Molecules." In A Pictorial Approach to Molecular Bonding. Springer US, 1986. http://dx.doi.org/10.1007/978-1-4684-0277-3_7.

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Verkade, John G. "Polygonal Molecules." In A Pictorial Approach to Molecular Bonding and Vibrations. Springer New York, 1997. http://dx.doi.org/10.1007/978-1-4613-8495-3_7.

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Bærentzen, Jakob Andreas, Jens Gravesen, François Anton, and Henrik Aanæs. "Polygonal Meshes." In Guide to Computational Geometry Processing. Springer London, 2012. http://dx.doi.org/10.1007/978-1-4471-4075-7_5.

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Fortner, Brand. "Polygonal Data." In The Data Handbook. Springer New York, 1995. http://dx.doi.org/10.1007/978-1-4612-2538-6_11.

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Ahadi, Arash, Amirhossein Mozafari, and Alireza Zarei. "Touring Convex Polygons in Polygonal Domain Fences." In Combinatorial Optimization and Applications. Springer International Publishing, 2017. http://dx.doi.org/10.1007/978-3-319-71147-8_5.

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Karlis, Dimitris, and Evdokia Xekalaki. "The Polygonal Distribution." In Advances in Mathematical and Statistical Modeling. Birkhäuser Boston, 2008. http://dx.doi.org/10.1007/978-0-8176-4626-4_2.

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Conference papers on the topic "Polygonal"

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Ait Abderrahamane, Hamid, Kamran Siddiqui, and Georgios Vatistas. "On the Dynamics of the Polygonal Satellite Vortices." In ASME 2009 Fluids Engineering Division Summer Meeting. ASMEDC, 2009. http://dx.doi.org/10.1115/fedsm2009-78331.

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This paper deals with the dynamics of polygonal shapes resulting from the symmetry breaking of hollow-vortex core in a shallow water layer produced by a rotating disk near the bottom within a stationary cylindrical container. These polygonal shapes are investigated through image analysis. It is found that a given polygon rotates at the frequency close to one–third of the corresponding disk frequency and the flow dynamics around the apexes of the polygon is characterized by a frequency which is close to one–third of the frequency of the given polygonal pattern. The results also suggest a possib
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Raghavachary, Saty. "Fracture generation on polygonal meshes using Voronoi polygons." In ACM SIGGRAPH 2002 conference abstracts and applications. ACM Press, 2002. http://dx.doi.org/10.1145/1242073.1242200.

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Alliez, Pierre, David Cohen-Steiner, Olivier Devillers, Bruno Lévy, and Mathieu Desbrun. "Anisotropic polygonal remeshing." In ACM SIGGRAPH 2003 Papers. ACM Press, 2003. http://dx.doi.org/10.1145/1201775.882296.

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Moon, Hee-Jong. "Various Polygonal Semiconductor Lasers." In 2009 Symposium on Photonics and Optoelectronics. IEEE eXpress Conference Publishing, 2009. http://dx.doi.org/10.1109/sopo.2009.5230325.

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Turk, Greg. "Re-tiling polygonal surfaces." In the 19th annual conference. ACM Press, 1992. http://dx.doi.org/10.1145/133994.134008.

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Southern, Richard, Patrick Marais, and Edwin Blake. "Generic memoryless polygonal simplification." In the 1st international conference. ACM Press, 2001. http://dx.doi.org/10.1145/513867.513871.

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Abbas, Abdulwahed. "T-Spline Polygonal Complexes." In CAD'14. CAD Solutions LLC, 2014. http://dx.doi.org/10.14733/cadconfp.2014.217-219.

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Ng, Shi Han, and Hans-Georg Matuttis. "Polygonal particles in fluids." In POWDERS AND GRAINS 2013: Proceedings of the 7th International Conference on Micromechanics of Granular Media. AIP, 2013. http://dx.doi.org/10.1063/1.4812137.

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Chew, L. P., and K. Kedem. "Placing the largest similar copy of a convex polygon among polygonal obstacles." In the fifth annual symposium. ACM Press, 1989. http://dx.doi.org/10.1145/73833.73853.

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Jin, Xiaoqing, Leon M. Keer, and Qian Wang. "Analytical Solution for the Stress Field of Eshelby’s Inclusion of Polygonal Shape." In ASME/STLE 2009 International Joint Tribology Conference. ASMEDC, 2009. http://dx.doi.org/10.1115/ijtc2009-15211.

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Recently, we developed a closed-form solution to the stress field due to a point eigenstrain in an elastic full plane. This solution can be employed as a Green’s function to compute the stress field caused by an arbitrary-shaped Eshelby’s inclusion subjected to any distributed eigenstrain. In this study, analytical expressions are derived when uniform eigenstrain is distributed in a planar inclusion bounded by line elements. Here it is demonstrated that both the interior and exterior stress fields of a polygonal inclusion subjected to uniform eigenstrain can be represented in a unified express
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Reports on the topic "Polygonal"

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Neiderer, Andrew M., Mark A. Thomas, and Richard Pearson. A Fracturing of Polygonal Objects. Defense Technical Information Center, 1998. http://dx.doi.org/10.21236/ada350431.

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Luebke, David, and Carl Erikson. View-Dependent Simplification of Arbitrary Polygonal Environments. Defense Technical Information Center, 2006. http://dx.doi.org/10.21236/ada446958.

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Johnson, David E., and Elaine Cohen. Minimum Distance Queries for Polygonal and Parametric Models. Defense Technical Information Center, 1997. http://dx.doi.org/10.21236/ada440300.

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Neiderer, Andrew M., and Charles F. Hansen. Distribution of Fragments Resulting from Polygonal Object Fracture. Defense Technical Information Center, 2001. http://dx.doi.org/10.21236/ada397617.

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Arkin, Esther M., L. P. Chew, Daniel P. Huttenlocher, Klara Kedem, and Joseph S. Mitchell. An Efficiently Computable Metric for Comparing Polygonal Shapes. Defense Technical Information Center, 1989. http://dx.doi.org/10.21236/ada210105.

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Arkin, Esther M., L. P. Chew, Daniel P. Huttenlocher, Klara Kedem, and Joseph S. Mitchell. An Efficiently Computable Metric for Comparing Polygonal Shapes. Defense Technical Information Center, 1991. http://dx.doi.org/10.21236/ada235508.

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McGrattan, K. B., R. G. Rehm, H. C. Tang, and H. R. Baum. A Boussinesq algorithm for buoyant convection in polygonal domains. National Institute of Standards and Technology, 1992. http://dx.doi.org/10.6028/nist.ir.4831.

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Djomehri, Sabra I. Definition of a Twelve-Point Polygonal SAA Boundaryfor the GLAST Mission. Office of Scientific and Technical Information (OSTI), 2007. http://dx.doi.org/10.2172/915382.

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Babuska, I., B. Q. Guo, and E. P. Stephan. The h-p Version of the Boundary Element Method with Geometric Mesh on Polygonal Domains. Defense Technical Information Center, 1989. http://dx.doi.org/10.21236/ada215815.

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Manzini, Gianmarco, and Annamaria Mazzia. A virtual element generalization on polygonal meshes of the Scott-Vogelius finite element method for the 2-D Stokes problem. Office of Scientific and Technical Information (OSTI), 2021. http://dx.doi.org/10.2172/1787266.

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