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Tesi sul tema "Matrix mechanics"

Autore: Grafiati

Pubblicato: 4 giugno 2021

Ultima modifica: 25 luglio 2025

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1

Pehlivan, Yamac. "Matrix Quantum Mechanics And Integrable Systems." Phd thesis, METU, 2004. http://etd.lib.metu.edu.tr/upload/12605065/index.pdf.

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In this thesis we improve and extend an algebraic technique pioneered by M. Gaudin. The technique is based on an infinite dimensional Lie algebra and a related family of mutually commuting Hamiltonians. In order to find energy eigenvalues of such Hamiltonians one has to solve the equations of Bethe ansatz. However, in most cases analytical solutions are not available. In this study we examine a special case for which analytical solutions of Bethe ansatz equations are not needed. Instead, some special properties of these equations are utilized to evaluate the energy eigenvalues. We use this met

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2

Dibelka, Jessica Anne. "Mechanics of Hybrid Metal Matrix Composites." Diss., Virginia Tech, 2013. http://hdl.handle.net/10919/50579.

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The appeal of hybrid composites is the ability to create materials with properties which normally do not coexist such as high specific strength, stiffness, and toughness. One possible application for hybrid composites is as backplate materials in layered armor. Fiber reinforced composites have been used as backplate materials due to their potential to absorb more energy than monolithic materials at similar to lower weights through microfragmentation of the fiber, matrix, and fiber-matrix interface. Composite backplates are traditionally constructed from graphite or glass fiber reinforced epoxy

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3

Francis, William H. IV. "Mechanics of post-microbuckled compliant-matrix composites." Connect to online resource, 2008. http://gateway.proquest.com/openurl?url_ver=Z39.88-2004&rft_val_fmt=info:ofi/fmt:kev:mtx:dissertation&res_dat=xri:pqdiss&rft_dat=xri:pqdiss:1453575.

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4

Wilkinson, Angus J. "Micro-mechanics of continuous fibre metal matrix composites." Thesis, University of Bristol, 1999. http://ethos.bl.uk/OrderDetails.do?uin=uk.bl.ethos.393899.

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5

Ahn, Byung Ki. "Interfacial Mechanics in Fiber-Reinforced Composites: Mechanics of Single and Multiple Cracks in CMCs." Diss., Virginia Tech, 1997. http://hdl.handle.net/10919/29791.

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Several critical issues in the mechanics of the interface between the fibers and matrix in ceramic matrix composites (CMCs) are studied. The first issue is the competition between crack deflection and penetration at the fiber/matrix interface. When a matrix crack, the first fracture mode in a CMC, reaches the interface, two different crack modes are possible; crack deflection along the interface and crack penetration into the fibers. A criterion based on strain energy release rates is developed to determine the crack propagation at the interface. The Axisymmetric Damage Model (ADM), a newl

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6

林長淨 and Cheung-ching Lam. "The U-matrix theory and its applications." Thesis, The University of Hong Kong (Pokfulam, Hong Kong), 1986. http://hub.hku.hk/bib/B31230635.

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7

Lam, Cheung-ching. "The U-matrix theory and its applications /." [Hong Kong : University of Hong Kong], 1986. http://sunzi.lib.hku.hk/hkuto/record.jsp?B12323901.

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8

Cui, Wenping. "Statistical Mechanics of Microbiomes:." Thesis, Boston College, 2021. http://hdl.handle.net/2345/bc-ir:109135.

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Thesis advisor: Pankaj Mehta<br>Thesis advisor: Ziqiang Wang<br>Nature has revealed an astounding degree of phylogenetic and physiological diversity in natural environments -- especially in the microbial world. Microbial communities are incredibly diverse, ranging from 500-1000 species in human guts to over 1000 species in marine ecosystems. Historically, theoretical ecologists have devoted considerable effort to analyzing ecosystems consisting of a few species. However, analytical approaches and theoretical insights derived from small ecosystems consisting of a few species may not scale up to

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9

Chia, Julian Yan Hon. "A micromechanics-based continuum damage mechanics approach to the mechanical behaviour of brittle matrix composites." Thesis, University of Glasgow, 2002. http://theses.gla.ac.uk/2856/.

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The thesis describes the development of a new continuum damage mechanics (hereafter, CDM) model for the deformation and failure of brittle matrix composites reinforced with continuous fibres. The CDM model is valid over sizes scales large compared to the spacing of the fibres and the dimensions of the damage. The composite is allowed to sustain damage in the form of matrix micro-cracking, shear delamination, tensile delamination and fibre failure. The constitutive equations are developed by decomposing the composite compliance into terms attributable to the fibre and matrix, and modelling the

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10

Wang, Aiguo. "Abrasive wear of metal matrix composites." Thesis, University of Cambridge, 1988. http://ethos.bl.uk/OrderDetails.do?uin=uk.bl.ethos.305516.

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11

Lyons, Jed S. "Micromechanical studies of crack growth in ceramic matrix composite." Diss., Georgia Institute of Technology, 1990. http://hdl.handle.net/1853/16086.

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12

Forsythe, Kristine M. "Mechanical behavior of transversely-loaded titanium matrix composite at elevated temperatures." Thesis, Georgia Institute of Technology, 2000. http://hdl.handle.net/1853/17028.

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13

Davies, C. M. A. "Failure mechanisms in glass-ceramic matrix composite laminates." Thesis, University of Bath, 1994. https://ethos.bl.uk/OrderDetails.do?uin=uk.bl.ethos.387305.

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14

Li, Shanhu. "Extended voronoi cell finite element model for damage in brittle matrix composites." The Ohio State University, 2006. http://rave.ohiolink.edu/etdc/view?acc_num=osu1135317411.

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15

Messick, Casey Owen. "Examining the Mechanics Responsible for Strain Delocalization in Metallic Glass Matrix Composites." BYU ScholarsArchive, 2018. https://scholarsarchive.byu.edu/etd/7043.

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Abstract (sommario):

Metallic glass matrix composites (MGMCs) have been developed to improve upon the ductility of monolithic metallic glass. These composites utilize a secondary crystalline phase that is grown into an amorphous matrix as isolated dendritic trees. This work seeks to understand the mechanisms underlying strain delocalization in MGMCs in order to better direct efforts for continual progress in this class of material. A mesoscale modelling technique based on shear transformation zone (STZ) dynamics is used to do so. STZ dynamics is a coarse grained technique that can provide insight into the microsco

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16

Liew, Andrew Mechanical &amp Manufacturing Engineering Faculty of Engineering UNSW. "A study of a rotor system with ball bearing induced non-linearities; and the development of transfer matrix techniques suitable for analysing such systems." Awarded by:University of New South Wales. School of Mechanical and Manufacturing Engineering, 2003. http://handle.unsw.edu.au/1959.4/19227.

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This thesis is concerned with enhancing analysis tools for evaluating the non-linear dynamics of rotor bearing systems and in particular those where non-linearity is likely to result in aperiodic or chaotic behaviour, such as rolling element bearing systems. The tool to be enhanced was the transfer matrix approach which has been extensively used in the past for analysing linear rotor bearing systems. However, its use for evaluating non-linear behaviour has been virtually non-existent. Hence, the major aim of the thesis is to extend transfer matrix capabilities to handle non-linear systems. To

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17

Saewong, Pakamard. "Erosion of glass and glass-ceramic matrix composites." Thesis, Imperial College London, 1998. http://ethos.bl.uk/OrderDetails.do?uin=uk.bl.ethos.300838.

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18

Lee, Shi-Wei. "Analysis of Composite Laminates with Matrix Cracks." Thesis, Virginia Tech, 1987. http://hdl.handle.net/10919/45539.

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Analysis of the effects of matrix cracking on composite laminates is a well-known problem which has attracted considerable attention for the past decade. An approximate analytical solution is introduced in this thesis to study this type of problem. The subjects of primary concern are the degradation of effective laminate properties, such as axial stiffness, Poisson's ratio, shear modulus, and coefficient of thermal expansion, as a function of crack density and the axial stress redistribution due to the existence of matrix cracks. Both transverse cracks (2-D problem) and cross (transverse and

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19

劉英傑 and Yingjie Liu. "Damage characterization of multi-directional laminates with matrix cracks and delamination." Thesis, The University of Hong Kong (Pokfulam, Hong Kong), 1996. http://hub.hku.hk/bib/B31235104.

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20

Liu, Ying-jie. "Damage characterization of multi-directional laminates with matrix cracks and delamination /." Hong Kong : University of Hong Kong, 1996. http://sunzi.lib.hku.hk/hkuto/record.jsp?B16504434.

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21

Magid, Richard Allem. "Hemodynamic environment regulates matrix metalloproteinase-9 expression in vascular endothelial cells." Diss., Georgia Institute of Technology, 2003. http://hdl.handle.net/1853/18993.

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22

Jiang, Jian. "Formability and fracture mechanisms of particle reinforced metal matrix composites." Thesis, University of Reading, 1996. http://ethos.bl.uk/OrderDetails.do?uin=uk.bl.ethos.360111.

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23

Bedouet, Sylvain. "Study of damage evolution in a titanium matrix composite under quasi-static and dynamic loading." Thesis, Georgia Institute of Technology, 2000. http://hdl.handle.net/1853/18225.

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24

DiFrancia, Célene. "The single fiber pull-out test : a study of fiber/matrix interactions /." This resource online, 1992. http://scholar.lib.vt.edu/theses/available/etd-07282008-134341/.

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25

Brauer, Erik [Verfasser]. "BMP-modulated extracellular matrix mechanics in the early phase of fracture healing / Erik Brauer." Berlin : Freie Universität Berlin, 2020. http://d-nb.info/1203625057/34.

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26

Messenger, C. R. "Investigation of delamination and matrix cracking in quasi-isotropic GFRP laminates." Thesis, University of Surrey, 1996. http://epubs.surrey.ac.uk/842699/.

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Abstract (sommario):

Intra-laminar and inter-laminar cracking in GFRP laminates has been studied. The epoxy matrix used gave a transparent composite and was compatible with polyurethane, enabling a modified system (containing 20% urethane) to be investigated in addition to the standard epoxy. Three stacking sequences of quasi-isotropic laminates, (+45/-45/0/90)s, (0/90/-45/+45)s and (+45/90/-45/0)s were tested. Data were obtained for the growth of damage and its effect on laminate stiffness under increasing quasi-static load and as a function of number of fatigue cycles at two different stress levels. Using the tr

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27

Zong, Bernie Yaping. "Strength and fracture of a metal matrix composite at elevated temperature." Thesis, University of Oxford, 1995. http://ethos.bl.uk/OrderDetails.do?uin=uk.bl.ethos.260733.

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28

Helgesson, Fredrik. "Analysis of a flight mechanics simulator." Thesis, KTH, Flygdynamik, 2019. http://urn.kb.se/resolve?urn=urn:nbn:se:kth:diva-265616.

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Abstract (sommario):

Aircraft design is an act of art requiring dedication and careful work to ensure good results. An essential tool in that work is a flight mechanics simulator. Such simulators are often built up of modules/models that are executed in a sequential order in each time iteration. This project aims to analyze potential improvements to the model execution order based on the dependency structure of one such simulator. The analysis method Design Structure Matrix (DSM), was used to define/map the dependencies and then Binary Linear Programming (BLP) was utilized to find five new potentially improved mod

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29

Huang, Xinyu. "Mechanics and Durability of Fiber Reinforced Porous Ceramic Composites." Diss., Virginia Tech, 2001. http://hdl.handle.net/10919/26063.

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Abstract (sommario):

Porous ceramics and porous ceramic composites are emerging functional materials that have found numerous industrial applications, especially in energy conversion processes. They are characterized by random microstructure and high porosity. Examples are ceramic candle filters used in coal-fired power plants, gas-fired infrared burners, anode and cathode materials of solid oxide fuel cells, etc. In this research, both experimental and theoretical work have been conducted to characterize and to model the mechanical behavior and durability of this novel class of functional material. Extens

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30

Yilmaz, Hamdi Sencer. "Characterization Of Silicon Carbide Particulate Reinforced Squeeze Cast Aluminum 7075 Matrix Composite." Master's thesis, METU, 2004. http://etd.lib.metu.edu.tr/upload/3/12605261/index.pdf.

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The aim of this study is to investigate the mechanical behavior and its relation with processing and microstructure of the silicon carbide particulate (SiCp) reinforced aluminum matrix composite. Aluminum 7075 alloy is chosen as matrix alloy, in which zinc is the main alloying element. Four different additions of SiCp were used and the weight fractions were 10%, 15%, 20% and 30%. Composites were processed by with squeeze casting and the applied pressure during casting was 80 MPa. The mould is specially designed to produce both specimens ready for tensile and three point bending tests. Both a

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31

Pryce, A. W. "Matrix cracking and stress/strain behaviour of continuous fibre ceramic composite laminates." Thesis, University of Surrey, 1991. http://epubs.surrey.ac.uk/843150/.

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Matrix damage and its effects on mechanical properties have been examined for SiC (Nicalon1) fibre reinforced glass and glass ceramic matrix composites under quasi-static and fatigue loading conditions. Nicalon/Pyrex laminates of different lay-ups have been tested under quasi-static tension. The elastic moduli have been measured and matrix damage monitored as a function of applied strain. The mechanical properties are strongly influenced by the presence of crystalline regions in the matrix which promote microcracking. Laminated plate theory is used to provide bounds to the moduli of the lamina

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32

Goodwin, Katharine Elizabeth. "Elucidating the role of cell to extracellular matrix adhesion in regulating tissue mechanics during development." Thesis, University of British Columbia, 2015. http://hdl.handle.net/2429/55441.

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Tissue morphogenesis requires force-generating mechanisms to drive the organization of cells into complex three-dimensional structures. Although such mechanisms have been characterized across the metazoan lineage, we know little about how force transmission across a tissue is regulated. Here, using Drosophila melanogaster as a model system, I provide evidence that integrin-mediated cell-ECM adhesion is required for the regulation and transmission of forces in tissues. Specifically I show that during Dorsal Closure (DC), an integrin-dependent morphogenetic process that occurs during Drosophila

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33

Antoine, Elizabeth Elena. "Mechanics and transport characterization of bioengineered tissue microenvironment platforms." Diss., Virginia Tech, 2004. http://hdl.handle.net/10919/56954.

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The tissue microenvironment is a complex living system containing heterogeneous mechanical and biophysical cues. Cellular components are surrounded by extracellular matrix and interstitial fluid, while transport of nutrients and biochemical factors is achieved via the vasculature. Each constituent of the tissue microenvironment can play a significant role in its ability to function normally. Many diseases including cancer have been linked with dysfunction in the tissue microenvironment; therefore an improved understanding of interaction between components of this complex system is needed. In

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34

Antoine, Elizabeth E. "Mechanics and transport characterization of bioengineered tissue microenvironment platforms." Diss., Virginia Tech, 2014. http://hdl.handle.net/10919/56954.

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The tissue microenvironment is a complex living system containing heterogeneous mechanical and biophysical cues. Cellular components are surrounded by extracellular matrix and interstitial fluid, while transport of nutrients and biochemical factors is achieved via the vasculature. Each constituent of the tissue microenvironment can play a significant role in its ability to function normally. Many diseases including cancer have been linked with dysfunction in the tissue microenvironment; therefore an improved understanding of interaction between components of this complex system is needed. I

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35

Moore, Robert Hunter. "Elastic and time dependent matrix cracking in cross-ply composite laminates." Thesis, Virginia Polytechnic Institute and State University, 1988. http://hdl.handle.net/10919/63971.

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The effects of time and stress level were investigated in cross-ply laminates to gain more understanding on the damage events in composites. Analytical predictions of the effect of stress level were performed for the case of linear elastic materials. The predictions were based on energy methods and linear elastic fracture mechanics. Damage was simulated with a Monte Carlo numerical scheme. The predicted results corresponded well with experimental data in the literature. Experimental testing was performed on cross-ply laminates to gain a better understanding of the effect of time and rate o

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36

From, Erik. "Influence of matrix and alloying on the high cycle fatigue properties of compacted graphite iron for cylinder heads." Thesis, KTH, Hållfasthetslära, 2020. http://urn.kb.se/resolve?urn=urn:nbn:se:kth:diva-277782.

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Continued improvements in combustion processes, introduction of biofuels, decreasing fuel consumption and increasing specific power will inevitably lead to an increase of the combustion pressure, which can be accompanied with a temperature increase. This will increase the loading on many components and drives the development of materials more resistant to the harsh conditions close to the engine. The cylinder head is one of the components that will be affected by the increased loads. Therefore, thermomechancial loads (TMF) originating from the cyclic temperature variations from the heating up

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37

DiFrancia, Célene. "The single fiber pull-out test: a study of fiber/matrix interactions." Diss., Virginia Tech, 1992. http://hdl.handle.net/10919/38866.

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38

Osborne, Deborah J. "Experimental and computational study of interphase properties and mechanics in titanium metal matrix composites at elevated temperatures /." View online ; access limited to URI, 2007. http://0-digitalcommons.uri.edu.helin.uri.edu/dissertations/AAI3277003.

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39

Degnan, Craig Cambell. "Processing and wear properties of a (W,Ti)C particulate reinforced ferrous-based metal matrix composite." Thesis, University of Nottingham, 1995. http://ethos.bl.uk/OrderDetails.do?uin=uk.bl.ethos.285253.

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40

Edginton, Ryan Stuart. "The multiscale biomechanics and mechanochemistry of the extracellular matrix protein fibres, collagen & elastin." Thesis, University of Exeter, 2018. http://hdl.handle.net/10871/34619.

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Collagen is the most abundant protein in the animal kingdom and, together with elastin, forms extensive fibrous networks that constitute the primary structure of the mammalian extracellular matrix, respectively endowing it with the tensile and elastic properties that fulfil its principal role as the passive framework of the body. The fibrous proteins are distinctly hierarchically organised from the molecular scale upwards; for example, the nanoscale tropocollagen monomer assembles in arrays that form the micrometer scale microfibrils and fibrils, and thence into collections of millimetre scale

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41

Fiore, Vincent F. "INVESTIGATION OF MECHANOTRANSDUCTORY MECHANISMS IN THE PATHOGENESIS OF LUNG FIBROSIS." Diss., Georgia Institute of Technology, 2014. http://hdl.handle.net/1853/53424.

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Fibrosis of vital organs remains one of the leading causes of death in the developed world, where it occurs predominantly in soft tissues (liver, lung, kidney, heart) through fibroblast proliferation and deposition of extracellular matrix (ECM). In the process of fibrosis, remodeling and deposition of ECM results in stiffening of cellular microenvironment; cells also respond to these changes in the stiffness through engagement of their cytoskeleton and signaling via cell-ECM contacts. Thus, understanding to what extent the stiffness of the cellular microenvironment changes as a consequence o

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42

Lundholm, Douglas. "Zero-energy states in supersymmetric matrix models." Doctoral thesis, KTH, Matematik (Avd.), 2010. http://urn.kb.se/resolve?urn=urn:nbn:se:kth:diva-12846.

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The work of this Ph.D. thesis in mathematics concerns the problem of determining existence, uniqueness, and structure of zero-energy states in supersymmetric matrix models, which arise from a quantum mechanical description of the physics of relativistic membranes, reduced Yang-Mills gauge theory, and of nonperturbative features of string theory, respectively M-theory. Several new approaches to this problem are introduced and considered in the course of seven scientific papers, including: construction by recursive methods (Papers A and D), deformations and alternative models (Papers B and C), a

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43

Hill, Katherine I. "DNAPL migration in single fractures : issues of scale, aperture variability and matrix diffusion." University of Western Australia. School of Environmental Systems Engineering, 2007. http://theses.library.uwa.edu.au/adt-WU2008.0003.

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[Truncated abstract] To date, many subsurface contaminant modelling studies have focused on increasing model complexity and measurement requirements to improve model accuracy and widen model application. However, due to the highly complex and heterogeneous nature of flow in the subsurface, the greater benefit in model development may lie in decreasing complexity by identifying key processes and parameters, simplifying the relationships that exist between them, and incorporating these relationships into simple models that recognise or quantify the inherent complexity and uncertainty. To address

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44

Thompson, Ronald H. "Plane frame element addition to the MESS finite element program." Thesis, Virginia Polytechnic Institute and State University, 1985. http://hdl.handle.net/10919/80052.

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A plane frame element based on linear, elastic theory is developed and implemented into the MESS finite element program. Post-processed results include nodal displacements, end reactions, maximum tensile and average shear stress, and a deformed geometry plot. The element is tested for accuracy relative to simple beam theory and by comparison with results generated using another finite element program. In both cases agreement to within 6 significant figures was achieved. Because the intended use is educational, a survey of its benefit as a design aid in undergraduate instruction is included.

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45

Ma, Xiaoyue. "FINITE ELEMENT MODELING OF COLLAGEN FIBERS IN THE MECHANICAL INTERACTION BETWEEN CELLS AND THE EXTRACELLULAR MATRIX." The Ohio State University, 2012. http://rave.ohiolink.edu/etdc/view?acc_num=osu1343415336.

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46

Griggs, Lauren. "FIBRONECTIN MECHANICS AND SIGNALING IN TGF-β1-INDUCED EPITHELIAL TO MESENCHYMAL TRANSITION". VCU Scholars Compass, 2018. https://scholarscompass.vcu.edu/etd/5539.

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Epithelial to Mesenchymal Transition (EMT) is a dynamic process by which a distinct change in the phenotype and function of epithelial cells render them as mesenchymal cells. Characteristics of mesenchymal cells include the ability to invade, increased migratory kinetics and heightened resistance to apoptosis. Therefore, there is a strong need to fully understand the mechanism for the induction of EMT in pathological conditions such as carcinoma progression. Recent advances highlight two pivotal contributors, soluble growth factor (gf) signals, and mechanical signals, in the process. However,

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47

Karakas, Mustafa Serdar. "Effect Of Aging On The Mechanical Properties Of Boron Carbide Particle Reinforced Aluminum Metal Matrix Composites." Phd thesis, METU, 2007. http://etd.lib.metu.edu.tr/upload/2/12608944/index.pdf.

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Metal matrix composites (MMCs) of Al - 4 wt.% Cu reinforced with different volumetric fractions of B4C particles were produced by hot pressing. The effect of aging temperature on the age hardening response of the composites was studied and compared with the characteristics exhibited by the matrix alloy. Reinforcement addition was found to considerably affect the age hardening behavior. Detailed transmission electron microscopy and differential scanning calorimetry observations were made to understand the aging response of the composites. The low strain rate and high strain rate deformation beh

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48

Keles, Ozgur. "Production And Characterization Of Alumina Fiber Reinforced Squeeze Cast Aluminum Alloy Matrix Composites." Master's thesis, METU, 2008. http://etd.lib.metu.edu.tr/upload/12609726/index.pdf.

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The aim of the present study was to investigate the effects of different levels of Saffil alumina fiber addition, magnesium content in aluminum alloy matrix and casting temperature on the mechanical behavior, microstructure and physical properties of short fiber reinforced aluminum matrix composites. The main alloying element silicon was kept constant at 10 wt%. Magnesium contents were selected as 0.3 wt% and 1 wt%. Saffil alumina fiber preforms varied from 10 to 30 vol%. The casting temperatures were fixed at 750 &deg<br>C and 800 &deg<br>C. Micro porosity was present at the fiber-fiber int

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49

Sundberg, Jenny. "Heat Transfer Correlations for Gas Turbine Cooling." Thesis, Linköping University, Department of Mechanical Engineering, 2006. http://urn.kb.se/resolve?urn=urn:nbn:se:liu:diva-5446.

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<p>A first part of a ”Heat Transfer Handbook” about correlations for internal cooling of gas turbine vanes and blades has been created. The work is based on the cooling of vanes and blades 1 and 2 on different Siemens Gas Turbines. The cooling methods increase the heat transfer in the cooling channels by increasing the heat transfer coefficient and/or increasing the heat transfer surface area. The penalty paid for the increased heat transfer is higher pressure losses.</p><p>Three cooling methods, called rib turbulated cooling, matrix cooling and impingement cooling were investigated. Rib turbu

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50

Andre, Daniel Batista. "Weyl expansion for multicomponent wave equations." Thesis, University of Bristol, 2000. http://ethos.bl.uk/OrderDetails.do?uin=uk.bl.ethos.310887.

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