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Dissertations / Theses on the topic 'Surfaces, Deformation of. Footwear'

Author: Grafiati

Published: 4 June 2021

Last updated: 9 February 2022

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1

Xu, Ying. "A new constrained shape deformation operator with applications in footwear design /." View abstract or full-text, 2008. http://library.ust.hk/cgi/db/thesis.pl?IELM%202008%20XU.

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2

Tam, Ming Sin. "Some surface deformation algorithms with applications in footwear design /." View Abstract or Full-Text, 2003. http://library.ust.hk/cgi/db/thesis.pl?IEEM%202003%20TAM.

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Thesis (M. Phil.)--Hong Kong University of Science and Technology, 2003.<br>Includes bibliographical references (leaves 93-95). Also available in electronic version. Access restricted to campus users.

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3

Guo, Li. "Shape blending using discrete curvature-variation functional /." View abstract or full-text, 2005. http://library.ust.hk/cgi/db/thesis.pl?IEEM%202005%20GUO.

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4

Tombari, Francesca. "Deformation of surfaces in 2D persistent homology." Master's thesis, Alma Mater Studiorum - Università di Bologna, 2018. http://amslaurea.unibo.it/15809/.

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In the context of 2D persistent homology a new metric has been recently introduced, the coherent matching distance. In order to study this metric, the filtering function is required to present particular “regularity” properties, based on a geometrical construction of the real plane, called extended Pareto grid. This dissertation shows a new result for modifying the extended Pareto grid associated to a filtering function defined on a smooth closed surface, with values in the real plane. In future, the technical result presented here could be used to prove the genericity of the regularity condit

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5

Atai, Ali Asghar. "Finite deformation of elastic curves and surfaces." Thesis, National Library of Canada = Bibliothèque nationale du Canada, 1998. http://www.collectionscanada.ca/obj/s4/f2/dsk2/tape17/PQDD_0005/NQ34730.pdf.

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6

Whitten, Philip Gregory. "Friction induced plastic deformation of high polymer surfaces." Access electronically, 2004. http://www.library.uow.edu.au/adt-NWU/public/adt-NWU20050118.113517/index.html.

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7

Valkonen, Aki Ensio. "Plastic deformation and roughness of free metal surfaces /." The Ohio State University, 1987. http://rave.ohiolink.edu/etdc/view?acc_num=osu1487330761216718.

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8

Low, Daniel Craig. "The effect of playing surfaces and footwear on the biomechanical response of soccer players." Thesis, University of Exeter, 2010. http://hdl.handle.net/10036/95333.

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This thesis describes three studies investigating biomechanical responses to changes in shoe-surface combinations in soccer. In the first study, six male participants (21.7 [S.D. 2.2] yrs, 74.0 [S.D. 6.9] kg [March], 74.6 [S.D. 6.9] kg (May), footwear size 10 -11) performed running and turning movements on natural and third generation artificial surfaces whilst wearing different soccer specific footwear. This was performed at two times of the year where contrasting weather conditions were experienced. It was observed that there were significant differences when the natural and third generation

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9

Adkin, P. "Yield surfaces in cyclic plasticity." Thesis, Coventry University, 1986. http://ethos.bl.uk/OrderDetails.do?uin=uk.bl.ethos.374221.

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10

Perez, Daniel Eduardo. "Shield Design for Maximum Deformation in Shape-Shifting Surfaces." Scholar Commons, 2013. http://scholarcommons.usf.edu/etd/4561.

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This research presents the initial studies and results on shield design for Shape-Shifting Surfaces (SSSs) seeking maximum compression and maximum expansion of a unit-cell. Shape-Shifting Surfaces (SSSs) are multilayered surfaces that are able to change shape while maintaining their integrity as physical barriers. SSSs are composed of polygonal unit-cells, which can change side lengths and corner angles. These changes are made possible by each side and corner consisting of at least two different shields, or layers of material. As the layers undergo relative motion, the unit-cell changes shape.

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11

Nguyen, Tran. "Optical measurement of shape and deformation fields on challenging surfaces." Thesis, Loughborough University, 2012. https://dspace.lboro.ac.uk/2134/10551.

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A multiple-sensor optical shape measurement system (SMS) based on the principle of white-light fringe projection has been developed and commercialised by Loughborough University and Phase Vision Ltd for over 10 years. The use of the temporal phase unwrapping technique allows precise and dense shape measurements of complex surfaces; and the photogrammetry-based calibration technique offers the ability to calibrate multiple sensors simultaneously in order to achieve 360° measurement coverage. Nevertheless, to enhance the applicability of the SMS in industrial environments, further developments a

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12

Wadwalkar, Saurabh Sunil Jackson Robert L. "A study of elastic plastic deformation of heavily deformed spherical surfaces." Auburn, Ala., 2009. http://hdl.handle.net/10415/1957.

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13

Dicks, Duncan. "Surfaces with pg = 3 and K² = 4 and extension-deformation theory." Thesis, University of Warwick, 1988. http://wrap.warwick.ac.uk/109989/.

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In Chapter 2 we give a description of an algorithm suggested by Reid for studying extensions of a variety C⊂P^n as a hyperplane section of a variety in P^(n+1). In Chapter 3 we use this method to study surfaces with numerical invariants P_g = 3 and K2 = 4. We find that there are 5 families of such surfaces and produce explicitly the canonical ring for a generic member of each family. In [Ho 1] there is a geometric study of surfaces with these invariants. Proposition (15.2) is an example of an obstruction to the extension deformation algorithm which appears in degree 4. In Chapter 4 we write do

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14

Kuhr, Bryan Richard. "Modeling the Role of Surfaces and Grain Boundaries in Plastic Deformation." Diss., Virginia Tech, 2017. http://hdl.handle.net/10919/78704.

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In this dissertation, simulation techniques are used to understand the role of surfaces and grain boundaries in the deformation response of metallic materials. This research utilizes atomistic scale modeling to study nanoscale deformation phenomena with time and spatial resolution not available in experimental testing. Molecular dynamics techniques are used to understand plastic deformation of grain boundaries and surfaces in metals under different configurations and loading procedures. Stress and strain localization phenomena are investigated at plastically deformed boundaries in axially st

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15

Smallwood, Steven A. "Deformation Studies of Tungsten-Gold Contacts at the Nanometer Scale." Fogler Library, University of Maine, 2001. http://www.library.umaine.edu/theses/pdf/SmallwoodSA2001.pdf.

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16

Qureshi, Farrukh Shahab. "Kinematics of shear deformation of materials under high pressure and shear stress." Diss., Georgia Institute of Technology, 1992. http://hdl.handle.net/1853/18841.

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17

Lukins, Timothy Campbell. "Qualifying 4D deforming surfaces by registered differential features." Thesis, University of Edinburgh, 2009. http://hdl.handle.net/1842/2830.

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Recent advances in 4D data acquisition systems in the field of Computer Vision have opened up many exciting new possibilities for the interpretation of complex moving surfaces. However, a fundamental problem is that this has also led to a huge increase in the volume of data to be handled. Attempting to make sense of this wealth of information is then a core issue to be addressed if such data can be applied to more complex tasks. Similar problems have been historically encountered in the analysis of 3D static surfaces, leading to the extraction of higher-level features based on analysis of the

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18

Xie, Yongsong. "The generation of worn surfaces in sliding contacts with hard asperities." Thesis, University of Cambridge, 1994. http://ethos.bl.uk/OrderDetails.do?uin=uk.bl.ethos.336435.

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19

Lam, Chi-Ming. "Draping 2D patterns onto 3D surfaces using geodesic curves /." View abstract or full-text, 2006. http://library.ust.hk/cgi/db/thesis.pl?IELM%202006%20LAM.

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20

Sabnis, Anup Kedar. "Impact of moisture variation on strength and deformation of clays." To access this resource online via ProQuest Dissertations and Theses @ UTEP, 2008. http://0-proquest.umi.com.lib.utep.edu/login?COPT=REJTPTU0YmImSU5UPTAmVkVSPTI=&clientId=2515.

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21

Krithivasan, Vijaykumar Jackson Robert Lloyd. "Finite element analysis of three-dimensional elasto-plastic sinusoidal contact and inclusion in a multi-scale rough surface contact model." Auburn, Ala., 2008. http://repo.lib.auburn.edu/EtdRoot/2008/SPRING/Mechanical_Engineering/Thesis/Krithivasan_Vijaykumar_55.pdf.

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22

Xiong, Shuping. "Pressure perception on the foot and the mechanical properties of foot tissue during constrained standing among Chinese /." View abstract or full-text, 2008. http://library.ust.hk/cgi/db/thesis.pl?IELM%202008%20XIONG.

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23

Schiek, Cara Gina. "Characterizing the deformation of reservoirs using interferometry, gravity, and seismic analyses." To access this resource online via ProQuest Dissertations and Theses @ UTEP, 2009. http://0-proquest.umi.com.lib.utep.edu/login?COPT=REJTPTU0YmImSU5UPTAmVkVSPTI=&clientId=2515.

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24

Kuo, Shun-meen. "Surface and subsurface deformation of aluminum and aluminum alloys in dry sliding wear /." The Ohio State University, 1987. http://rave.ohiolink.edu/etdc/view?acc_num=osu1487325740717942.

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25

Manjunath, Deepak Rosenblad Brent L. "Point target interferometry as applied to the characterization of localized deformation features." Diss., Columbia, Mo. : University of Missouri--Columbia, 2008. http://hdl.handle.net/10355/7118.

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Title from PDF of title page (University of Missouri--Columbia, viewed on Feb. 23, 2010). The entire thesis text is included in the research.pdf file; the official abstract appears in the short.pdf file; a non-technical public abstract appears in the public.pdf file. Dr. Brent Rosenblad, Dissertation Supervisor. Vita. Includes bibliographical references.

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26

Badique, Florent. "Mécano-biologie de cellules cancéreuses sur surfaces à topographie et chimie contrôlées." Thesis, Mulhouse, 2013. http://www.theses.fr/2013MULH8315/document.

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Le travail présenté dans cette thèse est le résultat d'une collaboration fructueuse entre la chimie, la physique et la biologie. En effet, des matériaux avec des propriétés physico-chimiques très contrôlées ont été mis à profit dans le but de caractériser des fonctions cellulaires complexes. Nous présentons tout d'abord la création d'un outil permettant l'étude de la mécanotransduction cellulaire. L'originalité de cet outil est basé sur son activation par étirement permettant de lier réversiblement les cellules à la surface. Nous avons ensuite étudié des comportements de cellules souches et ca

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27

Blanco, Fausto Richetti. "A technique for interactive shape deformation on non-structured objects." reponame:Biblioteca Digital de Teses e Dissertações da UFRGS, 2007. http://hdl.handle.net/10183/11176.

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Este trabalho apresenta uma técnica para deformação interativa de objetos 3D não estruturados que combina o uso de sketches em 2D e manipulação interativa de curvas. Através de sketches no plano de imagem, o usuário cria curvas paramétricas a serem usadas como manipulares para modificar a malha do objeto. Um conjunto de linhas desenhadas sobre a projeção do modelo pode ser combinado para criar um esqueleto composto de curvas paramétricas, as quais podem ser interativamente manipuladas, deformando assim a superfície associada a elas. Deformações livres são feitas movendo-se interativamente os p

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28

Wentworth, Stephen Thomas. "A qualitative study of planar elastic deformations." CSUSB ScholarWorks, 1994. https://scholarworks.lib.csusb.edu/etd-project/909.

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29

Blenkinsopp, Robert. "A method for measuring human foot shape during running stance." Thesis, Loughborough University, 2015. https://dspace.lboro.ac.uk/2134/16907.

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Knowledge of the three dimensional shape of the human foot is important in the design of shoes to facilitate correct fit. Currently only the static shape of the foot is considered despite the fact that the foot undergoes changes in its shape, particularly in athletic pursuits, due to associated movements and loadings. Attempts, presented in research, have been made to measure dynamic foot shape. However, to date, measurements have been limited in detail as well as restricted to walking gait, as a result of the method. The work of this thesis aimed to develop a methodology that would be capable

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30

Paradinas, Salsón Teresa. "Simplification, approximation and deformation of large models." Doctoral thesis, Universitat de Girona, 2011. http://hdl.handle.net/10803/51293.

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The high level of realism and interaction in many computer graphic applications requires techniques for processing complex geometric models. First, we present a method that provides an accurate low-resolution approximation from a multi-chart textured model that guarantees geometric fidelity and correct preservation of the appearance attributes. Then, we introduce a mesh structure called Compact Model that approximates dense triangular meshes while preserving sharp features, allowing adaptive reconstructions and supporting textured models. Next, we design a new space deformation technique calle

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31

Tusamda, Wakhloo Nayana. "Deformability of cancer cells on 3D microstructured surfaces." Thesis, Mulhouse, 2018. http://www.theses.fr/2018MULH2259.

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Cette thèse traite de la compréhension du comportement de différents types de cellules cancéreuses sur des surfaces microstructurées. Nous avons étudié le comportement de cellules issues d’ostéosarcome (SaOS-2) et en particulier leur déformation nucléaire sur des micro-piliers confinés. Nous avons analysé le rôle du cytosquelette, des adhésions focales (AF), du nucléosquelette (LINC et lamin A) et de la chromatine, sur cette déformation. L'actomyosine et les filaments intermédiaires de vimentine jouent un rôle crucial dans l'orchestration de la déformation nucléaire. Nous avons constaté que la

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32

Fromenteau, Clément. "Sur le champ de Teichmüller des surfaces de Hopf." Thesis, Angers, 2017. http://www.theses.fr/2017ANGE0094.

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Le but de cette thèse est d’utiliser le langage des champs pour étudier les espaces de Teichmüller dans un cadre analytique. L’approche classique de Kodaira et Spencer dans la théorie des déformations infinitésimales et le théorème d’existence de déformation verselle de Kuranishi ne permettent pas en effet une étude de l’espace de Teichmüller comme objet analytique global. Lathéorie des champs est particulièrement adaptée à l’étude des espaces de modules et des quotients mais elle n’a été essentiellement employée que dans un cadre algébrique. Après la présentation de son adaptation au cadre an

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33

Emge, Andrew William. "Effect of sliding velocity on the tribological behavior of copper and associated nanostructure development." Columbus, Ohio : Ohio State University, 2008. http://rave.ohiolink.edu/etdc/view?acc%5Fnum=osu1199246829.

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34

Philipp, Katrin, Angelos Filippatos, Nektarios Koukourakis, et al. "In-process deformation measurements of translucent high speed fibre-reinforced disc rotors." SPIE, 2015. https://tud.qucosa.de/id/qucosa%3A35189.

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The high stiffness to weight ratio of glass fibre-reinforced polymers (GFRP) makes them an attractive material for rotors e.g. in the aerospace industry. We report on recent developments towards non-contact, in-situ deformation measurements with temporal resolution up to 200 µs and micron measurement uncertainty. We determine the starting point of damage evolution inside the rotor material through radial expansion measurements. This leads to a better understanding of dynamic material behaviour regarding damage evolution and the prediction of damage initiation and propagation. The measurements

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35

Vaillant, Rodolphe. "Implicit skinning : character skin deformation guided by 3D scalar fields." Thesis, Toulouse 3, 2015. http://hdl.handle.net/1828/7336.

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In character animation achieving realistic deformations of the skin is a challenging task. Geometric skinning techniques, such as smooth blending or dual-quaternions, are very popular for their high performance but fail to produce convincing deformations. They look too soft compared to human skin deformation at a rigid bone joint. In addition advanced effects such as skin contacts or bulges are not taken into account. Other methods make use of physical simulation or volume control to better capture the skin behavior, yet they cannot deliver real-time feedback. We developed a novel skinning fra

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36

Ozcelik, Hayriye. "Interaction Between Micro And Nano Patterned Polymeric Surfaces And Different Cell Types." Phd thesis, METU, 2012. http://etd.lib.metu.edu.tr/upload/12614798/index.pdf.

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ABSTRACT INTERACTION BETWEEN MICRO AND NANO PATTERNED POLYMERIC SURFACES AND DIFFERENT CELL TYPES &Ouml<br>z&ccedil<br>elik, Hayriye Ph.D., Department of Biology Supervisor: Prof. Dr. Vasif Hasirci Co-Supervisor: Dr. Celestino Padeste August 2012, 139 pages Micro and nanopatterned surfaces are powerful experimental platforms for investigating the mechanisms of cell adhesion, cell orientation, differentiation and they enable significant contributions to the fields of basic cell and stem cell biology, and tissue engineering. In this study, interaction between micro and nanopatterned polymeric

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37

Alriyabi, Ali. "Analyse de quelques équations différentielles à retard et EDP modélisant les instabilités de surfaces." Thesis, Poitiers, 2013. http://www.theses.fr/2013POIT2255/document.

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Cette thèse est divisée en deux parties principales : La première partie concerne la déformation plastique d'un matériau contraint. Nous commençons cette partie par une introduction physique sur la dislocation et son rôle dans l'étude de la déformation plastique. Nous exposons ensuite deux types de modélisation de la déformation plastique ce qui nous conduit à deux équations différentielles à retard de Mecking-Lüke-Grilhé. Nous présentons une analyse mathématique complète des deux modèles linéaire et non linéaire. Nous terminons cette partie par des tests numériques et une comparaison des deux

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38

Yildiz, Meltem. "Modeling And Simulation Of Oil Leakage In Radial Lip Seals." Master's thesis, METU, 2010. http://etd.lib.metu.edu.tr/upload/12611842/index.pdf.

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Radial lip seals are used to prevent leakage between machine elements in many industrial applications. During operation, fluid film between seal lip and shaft surface generates a pressure distribution on the lip which is elastically deformed due to hydrodynamic pressure. Surface roughness parameters in terms of moments of height profile distribution (rms roughness, skewness and kurtosis) affect the rate of oil leakage. A computer program is developed for elastohydrodynamic analysis of radial lip seals. Both the fluid mechanics of the lubricating film and the elastic deformation of the lip are

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39

Seereeram, Videsh Ramjas. "Compliant shell mechanisms." Thesis, University of Cambridge, 2012. http://ethos.bl.uk/OrderDetails.do?uin=uk.bl.ethos.610867.

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40

Taro, Mandikizinoyou. "Modélisation et simulation des procédés de mise en compression des surfaces à très grandes vitesses de déformation par méthode semi-analytique." Thesis, Lyon, INSA, 2015. http://www.theses.fr/2015ISAL0105/document.

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La défaillance des pièces mécaniques est très souvent initiée par un défaut de surface. Par conséquent, la génération de contraintes résiduelles compressives sur des pièces mécaniques via une déformation plastique hétérogène améliore la tenue en fatigue et augmente la durée de vie des pièces. Parmi les procédés permettant d'introduire des contraintes résiduelles dans les pièces, le traitement par choc laser est plus intéressant à plusieurs titres. D'une part, il permet de produire des pressions en surface du matériau de l'ordre de 1 à 6 GPa sur de courtes durées d'impulsion allant de 3 à 30 na

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41

Hu, Hao. "Detection and treatment of inconsistent or locally over-constrained configurations during the manipulation of 3D geometric models made of free-form surfaces." Thesis, Paris, ENSAM, 2018. http://www.theses.fr/2018ENAM0002/document.

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Trois modules seront développés: Le module de détection a produit une analyse des problématiques figurations con, à savoir un ensemble de domaines où soit quelques nouveaux DDL ou des changements locaux dans les contraintes sont obligatoires. Le module de traitement permettra à la défi nition des mécanismes pour aider la décision sur modi cations. Le module de prédiction dire le degré de déformation en pré-analyser les caractéristiques des configurations de NURBS<br>Three modules will be developed: The detection module has produced an analysis of problematic con figurations, i.e. a set of area

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42

Maurel, Pierre. "Déformation plastique sévère des surfaces d’alliages à faible densité par grenaillage ultrasonique : gradients de microstructures, comportements en fatigue et en tribologie." Electronic Thesis or Diss., Université de Lorraine, 2020. http://www.theses.fr/2020LORR0182.

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L’impact du grenaillage ultrasonique sur des alliages de titane et d’aluminium est étudié à température ambiante et à température cryogénique. Ce procédé peut aussi s'appeler attrition mécanique ultrasonique de surface (SMAT). La résistance en fatigue ainsi que le comportement tribologique sont étudiés afin de mieux comprendre les avantages et inconvénients liés à ce procédé. Deux alliages de titanes ont été choisis : un titane pur complètement α et un titane β-métastable sous sa forme complètement β. Ce choix permet de corréler l’influence de la microstructure initiale sur le traitement de dé

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43

Ghasemi, Rohollah. "Tribological and Mechanical Behaviour of Lamellar and Compacted Graphite Irons in Engine Applications." Licentiate thesis, Tekniska Högskolan, Högskolan i Jönköping, JTH. Forskningsmiljö Material och tillverkning – Gjutning, 2015. http://urn.kb.se/resolve?urn=urn:nbn:se:hj:diva-25724.

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There has been much discussion about the beneficial uses of lamellar graphite iron in piston rings–cylinder liner systems, where a good combinations of both thermal and tribological properties are essential. The excellent tribological performance of lamellar iron under such sliding conditions is principally associated with lubrication behaviour of the graphite particles which are distributed as lamellas throughout the matrix. During sliding, graphite particles are extruded and smeared onto the counterfaces, act as solid lubricating agents and form a thin graphite film between the sliding surfa

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44

Alberge, Vincent. "Géométrie de la longueur extrémale sur les espaces de Teichmüller." Thesis, Strasbourg, 2016. http://www.theses.fr/2016STRAD010/document.

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Dans ce travail nous nous intéressons à la géométrie de l’espace de Teichmüller via la longueur extrémale et à sa relation avec d’autres géométries. En effet, via le théorème d’uniformisation de Poincaré, l’espace de Teichmüller d’une surface orientable de type finie est un espace qui “classifie” aussi bien les structures hyperboliques de cette surface que les structures conformes. Suivant la classification utilisée, on obtient deux compactifications différentes de cet espace, qui sont respectivement la compactification de Thurston et la compactification de Gardiner-Masur. La première étant in

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45

Vilar, François. "Utilisation des méthodes Galerkin discontinues pour la résolution de l'hydrodynamique Lagrangienne bi-dimentsionnelle." Thesis, Bordeaux 1, 2012. http://www.theses.fr/2012BOR14605/document.

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Le travail présenté ici avait pour but le développement d'un schéma de type Galerkin discontinu (GD) d'ordre élevé pour la résolution des équations de la dynamique des gaz écrites dans un formalisme Lagrangien total, sur des maillages bi-dimensionnels totalement déstructurés. À cette fin, une méthode progressive a été utilisée afin d'étudier étape par étape les difficultés numériques inhérentes à la discrétisation Galerkin discontinue ainsi qu'aux équations de la dynamique des gaz Lagrangienne. Par conséquent, nous avons développé dans un premier temps des schémas de type Galerkin discontinu j

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46

Řehulka, Martin. "Navrhování nízkohlučných asfaltových směsí." Master's thesis, Vysoké učení technické v Brně. Fakulta stavební, 2020. http://www.nusl.cz/ntk/nusl-409822.

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The Master’s thesis is focused on low-noise asphalt mixtures in general, namely asphalt concrete for very thin layers with low noise (BBTM 8 NH) and stone mastic asphalt with low noise (SMA 8 NH). The first half of the thesis describes basic types of asphalt mixtures with low noise, requirements for raw materials (aggregates and asphalt), noise emissions and their measurement methods. The second part deals the design of BBTM 8 NH and SMA 8 NH so that they have the same voids. Subsequently, their parameters were tested. Acoustic absorption, resistence against permanent deformation and stiffness

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Sugihara, Masamichi. "Free-form deformation for implicit surfaces." Thesis, 2009. http://hdl.handle.net/1828/1554.

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Implicit surfaces offer many advantages for sketch-based modeling systems, such as blending, CSG, and a procedural object hierarchy. Free-form deformation (FFD) is also extremely useful in this context, however existing FFD approaches do not support implicit surface representations, and FFD lattice manipulation is time-consuming compared to sketch-based techniques. In this thesis, an FFD technique suitable for implicit surface representations is described. To enhance real-time feedback, the problem is split into an approximate formulation used during interactive deformation, and a more robust

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48

Wu, Kuo-Lun, and 吳國綸. "On yield surfaces with deformation induced anisotropy." Thesis, 2009. http://ndltd.ncl.edu.tw/handle/86368022332933137633.

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碩士<br>國立臺灣大學<br>土木工程學研究所<br>97<br>This thesis presents a complete experimental procedure to investigate the yield surface. Specimens made of aluminum alloys of Al7075 and Al6061 were tested under three-dimensional stress (strain) condition. A new definition of proof strain was introduced to determine the yield surface. The experiments of yield surface involve the determination of yield surfaces with different loading path, different control, different pre-strain and the comparison of these yield surfaces. Most experimental result found in the literature consider only two-dimensional yield surf

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49

"Conformal deformation to positive curvature on noncompact surfaces." Tulane University, 1999.

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The geometric problem of prescribing positive curvature to noncompact surfaces of finite topological type is studied with the help of the conformal Gauss curvature equation Deltau + Ke2u -- k = 0. New asymptotic conditions on the admissible set of prescribed curvature functions are elucidated. In particular, a compact surface punctured at two points admits a positive curvature function with arbitrary polynomial growth about one of the removed points. The main theorem generalizes previous results of McOwen and Aviles for the Euclidean plane. The relation with the theory of Hulin and Troyanov is

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50

Hung, Shao-Yu, and 洪紹育. "Deformation and Stability of an ElasticaConstrained by Curved Surfaces." Thesis, 2011. http://ndltd.ncl.edu.tw/handle/00164251568824350070.

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碩士<br>國立臺灣大學<br>機械工程學研究所<br>99<br>In this paper we consider the deformation and stability of a clamped-clamped elastica resting on a bottom plane and pressed by a top wall laterally. Three types of top walls are considered; they are concave, convex, and plane surfaces. Deformation maps of the pressed elastica are first constructed. The stability of various deformation patterns is determined via a vibration method. The theoretical predictions on the deformation evolution when the top wall presses quasi-statically are verified experimentally. In the case of plane top wall, the external pressing

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