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Journal articles on the topic 'Edge modeling'

Author: Grafiati

Published: 4 June 2021

Last updated: 6 February 2022

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1

Zhang, Haoqiang, Xibin Wang, and Siqin Pang. "A Mathematical Modeling to Predict the Cutting Forces in Microdrilling." Mathematical Problems in Engineering 2014 (2014): 1–11. http://dx.doi.org/10.1155/2014/543298.

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In microdrilling, because of lower feed, the microdrill cutting edge radius is comparable to the chip thickness. The cutting edges therefore should be regarded as rounded edges, which results in a more complex cutting mechanism. Because of this, the macrodrilling thrust modeling is not suitable for microdrilling. In this paper, a mathematical modeling to predict microdrilling thrust is developed, and the geometric characteristics of microdrill were considered in force models. The thrust is modeled in three parts: major cutting edges, secondary cutting edge, and indentation zone. Based on slip-line field theory, the major cutting edges and secondary cutting edge are divided into elements, and the elemental forces are determined by an oblique cutting model and an orthogonal model, respectively. The thrust modeling of the major cutting edges and second cutting edge includes two different kinds of processes: shearing and ploughing. The indentation zone is modeled as a rigid wedge. The force model is verified by comparing the predicted forces and the measured cutting forces.

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Baroiu, Nicușor, Doina Boazu, Silviu Berbinschi, and Virgil Teodor. "Modeling and Experimental Research Regarding the Temperature Distribution along Curved Cutting Edges." Advanced Materials Research 1036 (October 2014): 259–64. http://dx.doi.org/10.4028/www.scientific.net/amr.1036.259.

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The curved cutting edge determines a variable chip thickness that leads to various may energetically load along the cutting edge. For twist drill with curved cutting edges, the machining speed variation along the major cutting edge is significant. The points belong to the drills periphery work with an increased machining speed. The thick of the detached chip by these cutting zones downwards to the periphery, versus the thick corresponding to the zones at the drills axis, may leads, in some conditions, to the evenness of the energetically load along the cutting edge, with direct influence regarding the cutting tools wearing mechanism. In this paper are presented modeling with finite elements developed in the Ansys Workbench environment, regarding the energetically load and the temperature state along the cutting edge with variable working angle, characteristic for twist drills with curved cutting edges. The modeling was made comparative with the drill with straight lined cutting edges, for the same working conditions. In the same time, presents an experimental record of an actual process. It was recorded the temperature along the cutting edge with a variable working angle in a turning process with transversal feed. There are presented results of the finite element modeling and of the experiment that simulated the cutting process at drilling. The experimental results of the finite element modeling confirm the trend for temperature evenness along the cutting edge with variable working angle regarding the drills with straight-line cutting edge.

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Mark, Andreas, Fredrik Edelvik, Johan Tryding, Ulf Nyman, Junis Amini, Mats Fredlund, Maria Rentzhog, et al. "Modeling and simulation of paperboard edge wicking." Nordic Pulp & Paper Research Journal 27, no. 2 (May 1, 2012): 397–402. http://dx.doi.org/10.3183/npprj-2012-27-02-p397-402.

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Abstract When liquid packaging board is made aseptic in the filling machine the unsealed edges of the board are exposed to hydrogen peroxide. A high level of liquid penetration may lead to aesthetic as well as functional defects. To be able to make a priori predictions of the edge wicking properties of a certain paperboard material is therefore of great interest to paper industry as well as to packaging manufacturers. The aim of this paper is to present a new analytical theory for prediction of the edge wicking properties of paperboard. The theory is based on Darcy’s law and the ideal gas law to describe the physical behavior of water flow in paperboard. The theory is compared to a recently published multi-scale framework and with pressurized edge wick experiments. The agreement is very good for paperboard samples of different sizes. The conclusion from the work is that both analytical theory and detailed simulations are useful to predict edge wicking properties of paperboard material.

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Merzlikin, Dmitrii, Sergey Fomel, and Xinming Wu. "Least-squares diffraction imaging using shaping regularization by anisotropic smoothing." GEOPHYSICS 85, no. 5 (September 1, 2020): S313—S325. http://dx.doi.org/10.1190/geo2019-0741.1.

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We have used least-squares migration to emphasize edge diffractions. The inverted forward-modeling operator is the chain of three operators: Kirchhoff modeling, azimuthal plane-wave destruction, and the path-summation integral filter. Azimuthal plane-wave destruction removes reflected energy without damaging edge-diffraction signatures. The path-summation integral guides the inversion toward probable diffraction locations. We combine sparsity constraints and anisotropic smoothing in the form of shaping regularization to highlight edge diffractions. Anisotropic smoothing enforces continuity along edges. Sparsity constraints emphasize diffractions perpendicular to edges and have a denoising effect. Synthetic and field data examples illustrate the effectiveness of the proposed approach in denoising and highlighting edge diffractions, such as channel edges and faults.

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5

Armillotta, Antonio. "Simulation of edge quality in fused deposition modeling." Rapid Prototyping Journal 25, no. 3 (April 8, 2019): 541–54. http://dx.doi.org/10.1108/rpj-06-2018-0151.

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Purpose The purpose of this paper is to propose a method for simulating the profile of part edges as a result of the FDM process. Deviations from nominal edge shape are predicted as a function of the layer thickness and three characteristic angles depending on part geometry and build orientation. Design/methodology/approach Typical patterns of edge profiles were observed on sample FDM parts and interpreted as the effects of possible toolpath generation strategies. An algorithm was developed to generate edge profiles consistent with the patterns expected for any combination of input variables. Findings Experimental tests confirmed that the simulation procedure can correctly predict basic geometric properties of edge profiles such as frequency, amplitude and shape of periodic asperities. Research limitations/implications The algorithm takes into account only a subset of the error causes recognized in previous studies. Additional causes could be integrated in the simulation to improve the estimation of geometric errors. Practical implications Edge simulation may help avoid process choices that result in aesthetic and functional defects on FDM parts. Originality/value Compared to the statistical estimation of geometric errors, graphical simulation allows a more detailed characterization of edge quality and a better diagnosis of error causes.

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6

Petrova, V., S. Schmauder, and A. Shashkin. "Modeling of edge cracks interaction." Frattura ed Integrità Strutturale 10, no. 36 (March 22, 2016): 8–26. http://dx.doi.org/10.3221/igf-esis.36.02.

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7

Leboeuf, J. ‐N, D. K. Lee, B. A. Carreras, N. Dominguez, J. H. Harris, C. L. Hedrick, C. Hidalgo, et al. "TEXT tokamak edge turbulence modeling." Physics of Fluids B: Plasma Physics 3, no. 8 (August 1991): 2291–99. http://dx.doi.org/10.1063/1.859596.

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8

Stacey, W. M. "Integrated Core-Edge-Divertor Modeling." Contributions to Plasma Physics 42, no. 2-4 (April 2002): 199–205. http://dx.doi.org/10.1002/1521-3986(200204)42:2/4<199::aid-ctpp199>3.0.co;2-1.

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9

Mogilner, Alex. "On the edge: modeling protrusion." Current Opinion in Cell Biology 18, no. 1 (February 2006): 32–39. http://dx.doi.org/10.1016/j.ceb.2005.11.001.

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10

Machens, Christian K., and Anthony Zador. "Auditory Modeling Gets an Edge." Journal of Neurophysiology 90, no. 6 (December 2003): 3581–82. http://dx.doi.org/10.1152/jn.00832.2003.

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11

Vieira, Dalmo A. N., and Seth M. Dabney. "Modeling edge effects of tillage erosion." Soil and Tillage Research 111, no. 2 (January 2011): 197–207. http://dx.doi.org/10.1016/j.still.2010.10.007.

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12

Murugesan-Kuppuswamy, Vijaya-Kumar, Vassilios Constantoudis, and Evangelos Gogolides. "Contact Edge Roughness: Characterization and modeling." Microelectronic Engineering 88, no. 8 (August 2011): 2492–95. http://dx.doi.org/10.1016/j.mee.2011.02.003.

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13

Anagnostopoulos, Christos. "Edge-centric inferential modeling & analytics." Journal of Network and Computer Applications 164 (August 2020): 102696. http://dx.doi.org/10.1016/j.jnca.2020.102696.

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14

Hubert, C., M. Dubar, A. Dubois, and L. Dubar. "3D modeling of edge trimming process." International Journal of Material Forming 2, S1 (August 2009): 837–40. http://dx.doi.org/10.1007/s12289-009-0553-2.

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15

Pluta, ZdzisŁaw, and Tadeusz Hryniewicz. "Novel Modeling of Tool Edge Wear." Tribology Transactions 55, no. 2 (March 2012): 230–36. http://dx.doi.org/10.1080/10402004.2011.647385.

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16

Eldredge, Jeff D., and Anya R. Jones. "Leading-Edge Vortices: Mechanics and Modeling." Annual Review of Fluid Mechanics 51, no. 1 (January 5, 2019): 75–104. http://dx.doi.org/10.1146/annurev-fluid-010518-040334.

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The leading-edge vortex (LEV) is known to produce transient high lift in a wide variety of circumstances. The underlying physics of LEV formation, growth, and shedding are explored for a set of canonical wing motions including wing translation, rotation, and pitching. A review of the literature reveals that, while there are many similarities in the LEV physics of these motions, the resulting force histories can be dramatically different. In two-dimensional motions (translation and pitch), the LEV sheds soon after its formation; lift drops as the LEV moves away from the wing. Wing rotation, in contrast, incites a spanwise flow that, through Coriolis tilting, balances the streamwise vorticity fluxes to produce an LEV that remains attached to much of the wing and thus sustains high lift. The state of the art of vortex-based modeling to capture both the flow field and corresponding forces of these motions is reviewed, including closure conditions at the leading edge and approaches for data-driven strategies.

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17

Lehrman, Ira S., and Patrick L. Colestock. "Invited paper: ICRF edge modeling studies." Fusion Engineering and Design 12, no. 1-2 (January 1990): 51–62. http://dx.doi.org/10.1016/0920-3796(90)90064-d.

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18

Hadingham, Paul T. "Modeling of edge based visual objects." Mathematical and Computer Modelling 14 (1990): 435–39. http://dx.doi.org/10.1016/0895-7177(90)90222-9.

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19

Van Bossche, Nick, T. Bogaerts, Inge Bellemans, Kim Verbeken, and Wim De Waele. "3D finite element modeling of edge and width drop behavior in hot rolling mill." International Journal Sustainable Construction & Design 8, no. 1 (October 30, 2017): 8. http://dx.doi.org/10.21825/scad.v8i1.6814.

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Hot rough rolling is a conventional forming process in modern steelmaking practice in which high deformations are applied to a steel slab at high temperatures. Due to the sequence of edge rolling followed by rough rolling, so-called edge and width drop phenomena are observed at the head and tail of the slab. These unwanted effects govern a yield loss and need to be minimized as much as possible. By means of a finite element study this research aims to discover the main influencing parameters on the observed edge and width drop behavior. An overview and comparison of the relative contributions of several edge rolling settings are presented. The net edger roll opening is the most important influencing parameter on edge and width drop behavior. The effect of width and thickness of the slab on the edge drop is less strongly pronounced; only the thickness influences the width drop behavior.

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20

Walczyk, Daniel F., and Yong-Tai Im. "Structural Modeling of Profiled Edge Laminae (PEL) Tools." Journal of Manufacturing Science and Engineering 127, no. 1 (February 1, 2005): 138–47. http://dx.doi.org/10.1115/1.1826074.

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Profiled Edge Laminae (PEL) tooling is a thick-layer Rapid Tooling (RT) method that involves assembling an array of laminae—each having a uniquely profiled and beveled top edge—together in a precise and repeatable manner by registering each lamina’s bottom edge and an adjacent side edge to a fixture that has precisely machined edges. The processed laminae are then clamped or bonded into a rigid tool for use in manufacturing (e.g., as a thermoforming mold). Because a PEL tool is inherently more compliant than a solid tool, manufacturing personnel who are considering its use are understandably concerned about excessive tool deflection, which may lead to unacceptable changes in tool shape, decreased tool life due to high stresses and increased wear, and part dimensional errors. The ability to predict deflection (i.e., shape changes) in a laminated construction, either clamped or bonded, is extremely important to promote widespread acceptance of the PEL method. This paper develops basic analytical structural models for both clamped and adhesively bonded PEL tools, which will allow tooling designers and engineers to predict how changing various design parameters (e.g., the number of laminations, tool material, unclamped length of laminations, bonding adhesive, adhesive thickness) affect a tool’s stiffness. Deflection results from these models are shown to agree very well with experimental results. The usefulness of these analytical models is then shown by a design example. Finally, FEM modeling of PEL tools is demonstrated and shown to provide results that agree reasonably well with experimental results. FEM modeling may allow for prediction of shape changes to a PEL tool characterized by a complex three-dimensional surface and subject to arbitrary structural loads.

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21

Cantrell, Meredith B., Warren M. Grill, and Stephen M. Klein. "Computer-based Finite Element Modeling of Insulated Tuohy Needles Used in Regional Anesthesia." Anesthesiology 110, no. 6 (June 1, 2009): 1229–34. http://dx.doi.org/10.1097/aln.0b013e3181a16275.

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Background Differences in needle design may impact nerve localization. This study evaluates the electrical properties of two insulated Tuohy needles using computational finite element modeling. Methods Three-dimensional geometric computer-based models were created representing two 18-gauge, insulated Tuohy needles: (1) with an exposed metal tip and (2) with an insulated tip. The models were projected in simulated human tissue. Using finite element methodology, distributions of current-density were calculated. Voltages in the modeled medium were calculated, and activation patterns of a model nerve fiber around the tip of each needle were estimated using the activating function. Results Maximum current density on the exposed-tip needle occurred along the edge of the distal tip; the distal edge was 1.7 times larger than the side edges and 3.5 times larger than the proximal edge. Conversely, maximum current density occurred along the proximal edge of the insulated-tip Tuohy opening; the proximal edge was 1.9 times larger than the side edges of the opening and 3.5 times larger than the distal edge of the opening. Voltages generated by the exposed-tip needle were larger and had a wider spatial distribution than that of the insulated-tip needle, which restricted to the area immediately adjacent to the opening. Different changes in threshold were predicted to excite a nerve fiber as the needles were rotated or advanced toward the modeled nerve. Conclusions The needles displayed different asymmetric distributions of current density and positional effects on threshold. If this analysis is validated clinically, it may prove useful in testing stimulating needles before clinical application.

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22

Barker, D. B., and Y. S. Chen. "Modeling the Vibration Restraints of Wedge Lock Card Guides." Journal of Electronic Packaging 115, no. 2 (June 1, 1993): 189–94. http://dx.doi.org/10.1115/1.2909316.

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One of the most dominate parameters that influence the calculation of a PWB’s natural frequency is the boundary conditions along the edges of the board. A series of experiments was conducted with Calmark three and five-part wedge locks to determine the boundary condition restraint offered by these commonly used card guides. The wedge locks were modeled as simple supports preventing transverse deflection of the plate edge and as linear elastic springs restraining the rotation of the plate edge. The rotational spring constant for the wedge lock was then calculated in an semi-inverse manner by measuring the natural frequency response of a well-characterized plate.

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23

Xuefeng, Zhao, Li Hui, He Lin, and Tao Meng. "Modeling and detection of the prepared tool edge radius." Science Progress 103, no. 3 (July 2020): 003685042095790. http://dx.doi.org/10.1177/0036850420957903.

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Introduction: High-speed and high-efficient machining is the inevitable development direction of machining technology. The tool edge preparation can improve the life, cutting performance, and surface quality of a tool and help to achieve high-speed and efficient machining. Therefore, precise modeling and detection of the micron-level contour of a tool edge are crucial for edge preparation. The aim of this study is to provide the model and detect method of the prepared tool edge radius. Methods: The mathematical model of the milling tool trajectory is established through the Matlab. The material removal model by single abrasive particle is established based on the energy conservation principle and energy absorption theory. The material removal model by multiple abrasive grains on the cutting tool edge is constructed using the statistical methods. The mathematical model of the edge radius is established through the geometrical relationship. The milling edge preparation contour detection system is setup based on the machine vision principle through LabVIEW software. Finally, the edge radius at different process parameters is determined by the mathematical model and detection system, and the results are compared with the results of the scanning electron microscopic measurement (SEM). Results: Through the Comparison and analysis of the edge radius measured by the SEM and calculated by the proposed model. The maximum error between the analytical results and SEM measurements is 11.18 μm, while the minimum error is 0.07 μm. Through the comparison and analysis of the edge radius measured by the SEM and the edge detection system. The maximum difference between the two methods is 2.71 μm, and the minimum difference is 0.31 μm. The maximum difference in percentage is 9.2%, and the minimum difference in percentage is 1.2%. Discussions: The edge preparation mechanisms of a single particle and multiple particles on the tool edge are explained. A mathematical model of the edge radius is established, which provides a basis for a deeper understanding of the edge preparation effect. Based on the machine vision principle, the prepared tool micron-level edge detection method is proposed. The histogram specification method, median filtering, multi-threshold segmentation method, and Canny edge detection operator are adopted to obtain the edge contour. The comparison result shows that the mathematical model of the edge radius is accurate, and the proposed tool edge detection method is feasible, which lays the foundation for edge preparation and realization of high-speed and high-efficient machining.

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24

Armillotta, Antonio, Stefano Bianchi, Marco Cavallaro, and Stefania Minnella. "Edge quality in fused deposition modeling: II. experimental verification." Rapid Prototyping Journal 23, no. 4 (June 20, 2017): 686–95. http://dx.doi.org/10.1108/rpj-02-2016-0021.

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Purpose This paper aims to provide an experimental evaluation of geometric errors on the edges of parts manufactured by the fused deposition modeling (FDM) process. Design/methodology/approach An experimental plan was conducted by building parts in ABS thermoplastic resin on a commercially available machine with given combinations of the three geometric variables (inclination, included and incidence angle) defined in the first part of the paper. Edges on built parts were inspected on a two-dimensional non-contact profilometer to measure position and form errors. Findings The analysis of measurement results revealed that the edge-related variables have significant influences on the geometric errors. The interpretation of error variations with respect to the different angles confirmed the actual occurrence of the previously discussed error causes. As an additional result, quantitative predictions of the errors were provided as a function of angle values. Research limitations/implications The experimental results refer to fixed process settings (material, FDM machine, layer thickness, build parameters, scan strategies). Originality/value The two-part paper is apparently the first to have studied the edges of additively manufactured parts with respect to geometric accuracy, a widely studied topic for surface features.

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25

Yudong, Pan, Wang Enyao, and Liu Yi. "HL-2A Tokamak Edge Modeling with B2." Plasma Science and Technology 5, no. 6 (December 2003): 2023–26. http://dx.doi.org/10.1088/1009-0630/5/6/002.

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26

Schlinker, Robert H., Bruce L. Morin, C. D. Coffen, and Roger L. Davis. "Modeling centrifugal fan blade trailing edge noise." Journal of the Acoustical Society of America 105, no. 2 (February 1999): 945. http://dx.doi.org/10.1121/1.425724.

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27

Ramirez Rivera, Adin, Mahbub Murshed, Jaemyun Kim, and Oksam Chae. "Background Modeling Through Statistical Edge-Segment Distributions." IEEE Transactions on Circuits and Systems for Video Technology 23, no. 8 (August 2013): 1375–87. http://dx.doi.org/10.1109/tcsvt.2013.2242551.

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28

Lin, Jiao, and Gian Song. "bem: modeling for neutron Bragg-edge imaging." Journal of Open Source Software 3, no. 30 (October 18, 2018): 973. http://dx.doi.org/10.21105/joss.00973.

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29

Feng, Y., F. Sardei, J. Kisslinger, P. Grigull, K. McCormick, and D. Reiter. "3D Edge Modeling and Island Divertor Physics." Contributions to Plasma Physics 44, no. 13 (April 2004): 57–69. http://dx.doi.org/10.1002/ctpp.200410009.

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30

Schultz, D. R., P. S. Krstic, T. Minami, M. S. Pindzola, F. J. Robicheaux, J. P. Colgan, S. D. Loch, et al. "Computational atomic physics for plasma edge modeling." Contributions to Plasma Physics 44, no. 13 (April 2004): 247–51. http://dx.doi.org/10.1002/ctpp.200410036.

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31

Contino, Antonino, Ivan Ciofi, Xiangyu Wu, Inge Asselberghs, Umberto Celano, Christopher J. Wilson, Zsolt Tokei, Guido Groeseneken, and Bart Soree. "Modeling of Edge Scattering in Graphene Interconnects." IEEE Electron Device Letters 39, no. 7 (July 2018): 1085–88. http://dx.doi.org/10.1109/led.2018.2833633.

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Vavilov, Sergey A., and Mikhail S. Lytaev. "Modeling Equation for Multiple Knife-Edge Diffraction." IEEE Transactions on Antennas and Propagation 68, no. 5 (May 2020): 3869–77. http://dx.doi.org/10.1109/tap.2019.2957085.

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Fell, Andreas, Jonas Schon, Matthias Muller, Nico Wohrle, Martin C. Schubert, and Stefan W. Glunz. "Modeling Edge Recombination in Silicon Solar Cells." IEEE Journal of Photovoltaics 8, no. 2 (March 2018): 428–34. http://dx.doi.org/10.1109/jphotov.2017.2787020.

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Tsai, Ming-Heng, Sun-Rong Jan, Che-Yu Yeh, Chee Wee Liu, Robert Veniaminovich Goldstein, Valentin Alexandrovich Gorodtsov, and Pavel Sergeevich Shushpannikov. "Modeling and Optimization of Edge Dislocation Stressors." IEEE Electron Device Letters 34, no. 8 (August 2013): 948–50. http://dx.doi.org/10.1109/led.2013.2266124.

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35

Batanova, О. А., G. А. Gogotsi, and Yu G. Matvienko. "Numerical modeling edge chipping tests of ceramics." Engineering Fracture Mechanics 132 (December 2014): 38–47. http://dx.doi.org/10.1016/j.engfracmech.2014.10.014.

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Zhang, Y., and B. Guo. "Hydrodynamic Modeling of Spin-Polarized Edge Magnetoplasmons." Plasmonics 14, no. 3 (September 25, 2018): 799–805. http://dx.doi.org/10.1007/s11468-018-0860-x.

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37

Hogan, J. T., C. C. Klepper, D. L. Hillis, and T. Uckan. "Modeling of spectroscopic measurements of edge recycling." Journal of Nuclear Materials 162-164 (April 1989): 469–75. http://dx.doi.org/10.1016/0022-3115(89)90314-0.

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38

Ostré, Benjamin, Christophe Bouvet, Clément Minot, and Jacky Aboissière. "Edge impact modeling on stiffened composite structures." Composite Structures 126 (August 2015): 314–28. http://dx.doi.org/10.1016/j.compstruct.2015.02.020.

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39

Li, Zhao, Ai Bing Yu, Hao Wang, and Liang Dong. "Cutting Process Analysis for Uniform and Variable Edge Tools." Applied Mechanics and Materials 37-38 (November 2010): 280–83. http://dx.doi.org/10.4028/www.scientific.net/amm.37-38.280.

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Tool edge geometry has obvious influences on cutting tool behaviors. FEM modeling and simulation of orthogonal cutting process using uniform and variable edge cutting tools were studied with dynamics explicit ALE method. AISI 1045 steel was chosen for workpiece, and cemented carbide was chosen for cutting tool. Three sections of uniform and variable edges were chosen for analysis. Cutting forces and temperature distributions were calculated for uniform and variable edge carbide cutting tool. Simulation results show that variable edge cutting tool obtains small cutting forces. Ploughing force tends to reduce when variable edge cutting tool was used. Variable edge cutting tool reduces the heat generation and presents reasonable temperature distributions, which is beneficial to cutting life. The force and temperature distributions demonstrate the advantages of variable edge cutting tool.

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40

Gerling, Gregory J., and Geb W. Thomas. "Two Dimensional Finite Element Modeling to Identify Physiological Bases for Tactile Gap Discrimination." Proceedings of the Human Factors and Ergonomics Society Annual Meeting 49, no. 10 (September 2005): 891–95. http://dx.doi.org/10.1177/154193120504901004.

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Tactile edge and gap detection are fundamental to performing manual tasks. Because slowly adapting type I (SA-I) mechanoreceptors encode details pertinent to edge localization, understanding low-level encoding is critical to understanding edge perception. Solid mechanics models may help us understand how mechanoreceptors in the skin encode applied surface indentation into neural signals representing edges. Finite element models test whether an indenter separated by a gap creates unique stress/strain distributions in models based upon orientation to fingerprint lines. Results indicate that a gap axis parallel to ridge lines elicits a more pronounced signal than a gap axis perpendicular to ridge lines. The differences may be due to underlying intermediate ridge microstructure. The percentage differences for three derived stress metrics range from 30-87% greater when the indenter's gap axis parallels the ridges. This initial effort demonstrates that underlying skin microstructure may aid tactile perception of stimulus orientation.

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Geers, M. G. D., R. de Borst, and R. H. J. Peerlings. "Damage and crack modeling in single-edge and double-edge notched concrete beams." Engineering Fracture Mechanics 65, no. 2-3 (January 2000): 247–61. http://dx.doi.org/10.1016/s0013-7944(99)00118-6.

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42

Takizuka, T. "Kinetic effects in edge plasma: kinetic modeling for edge plasma and detached divertor." Plasma Physics and Controlled Fusion 59, no. 3 (February 10, 2017): 034008. http://dx.doi.org/10.1088/1361-6587/59/3/034008.

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43

Beljakov, Igor, Velimir Meded, Franz Symalla, Karin Fink, Sam Shallcross, and Wolfgang Wenzel. "Magnetic anisotropy of graphene quantum dots decorated with a ruthenium adatom." Beilstein Journal of Nanotechnology 4 (July 10, 2013): 441–45. http://dx.doi.org/10.3762/bjnano.4.51.

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The creation of magnetic storage devices by decoration of a graphene sheet by magnetic transition-metal adatoms, utilizing the high in-plane versus out-of-plane magnetic anisotropy energy (MAE), has recently been proposed. This concept is extended in our density-functional-based modeling study by incorporating the influence of the graphene edge on the MAE. We consider triangular graphene flakes with both armchair and zigzag edges in which a single ruthenium adatom is placed at symmetrically inequivalent positions. Depending on the edge-type, the graphene edge was found to influence the MAE in opposite ways: for the armchair flake the MAE increases close to the edge, while the opposite is true for the zigzag edge. Additionally, in-plane pinning of the magnetization direction perpendicular to the edge itself is observed for the first time.

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Brady, Patrick V., and James L. Krumhansl. "Surface Complexation Modeling for Waterflooding of Sandstones." SPE Journal 18, no. 02 (December 17, 2012): 214–18. http://dx.doi.org/10.2118/163053-pa.

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Summary A theoretical surface coordination model of oil attraction to sandstone-reservoir surfaces confirms the two primary oil/mineral coordination reactions to be electrostatic linking of anionic kaolinite-edge sites to protonated nitrogen bases at pH < 6 and calcium carboxylate groups at pH > 6. Kaolinite basal planes are calculated to link to oil through oil –NH+ groups at pH < 6–7 and through oil –COOCa+ groups at pH > 6–7, and may be important to oil attraction where basal planes are more exposed than edges (the ranges shift, depending on the oil, acid, and base numbers). Model predictions are most sensitive to the dissociation constant of oil surface carboxylate groups but are relatively insensitive to other surface equilibria and temperature. The model shows that, although low-salinity, low-Ca waterfloods can enhance oil recovery by decreasing the number of Ca2+ bridges and anionic kaolinite-edge sites, dissolution of sandstone carbonate minerals dampens the low-salinity effect by buffering decreases in waterflood Ca2+ levels. Better model predictions require more-accurate predictions of Ca2+ levels during waterflooding, high-temperature sulfate-adsorption analyses, and more-precise measurements of oil acidity and basicity.

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Graham, Eric A., Mark Hansen, William J. Kaiser, Yeung Lam, Eric Yuen, and Philip W. Rundel. "Dynamic Microclimate Boundaries across a Sharp Tropical Rainforest–Clearing Edge." Remote Sensing 13, no. 9 (April 23, 2021): 1646. http://dx.doi.org/10.3390/rs13091646.

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As landscapes become increasingly fragmented, research into impacts from disturbance and how edges affect vegetation and community structure has become more important. Descriptive studies on how microclimate changes across sharp transition zones have long existed in the literature and recently more attention has been focused on understanding the dynamic patterns of microclimate associated with forest edges. Increasing concern about forest fragmentation has led to new technologies for modeling forest microclimates. However, forest boundaries pose important challenges to not only microclimate modeling but also sampling regimes in order to capture the diurnal and seasonal dynamic aspects of microclimate along forest edges. We measured microclimatic variables across a sharp boundary from a clearing into primary lowland tropical rainforest at La Selva Biological Station in Costa Rica. Dynamic changes in diurnal microclimate were measured along three replicated transects, approximately 30 m in length with data collected every 1 m continuously at 30 min intervals for 24 h with a mobile sensor platform supported by a cable infrastructure. We found that a first-order polynomial fit using piece-wise regression provided the most consistent estimation of the forest edge, relative to the visual edge, although we found no “best” sensing parameter as all measurements varied. Edge location estimates based on daytime net shortwave radiation had less difference from the visual edge than other shortwave measurements, but estimates made throughout the day with downward-facing or net infrared radiation sensors were more consistent and closer to the visual edge than any other measurement. This research contributes to the relatively small number of studies that have directly measured diurnal temporal and spatial patterns of microclimate variation across forest edges and demonstrates the use of a flexible mobile platform that enables repeated, high-resolution measurements of gradients of microclimate.

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Han, Lei, Xuefeng Cheng, Lei Jiang, Rong Li, Guofu Ding, and Shengfeng Qin. "Research on parametric modeling and grinding methods of bottom edge of toroid-shaped end-milling cutter." Proceedings of the Institution of Mechanical Engineers, Part B: Journal of Engineering Manufacture 233, no. 1 (June 29, 2017): 31–43. http://dx.doi.org/10.1177/0954405417717547.

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For a toroid-shaped end-milling cutter to have multi-structure features of tooth offset center and introversion of bottom edge, this article proposes a generalized parametric modeling method of the bottom edge, including a straight edge segment and a circular arc edge segment. And based on the parametric model, this article also deduces the corresponding tool path for grinding of the bottom edge’s rake and flank faces. The parametric modeling method is based on the geometric analytic equations while the grinding method is driven by the proposed parametric model and the parameters of rake and flank faces. The two methods can be applied to a bottom edge of a cutter with multi-structure features to guarantee G1 continuity at the two joints for connecting a circular arc edge with a straight edge and a conical helix edge, respectively. In order to verify the accuracy of proposed methods, experiments were carried out. The modeling and grinding experimental results verified the accuracy and utility of the methods.

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Armillotta, Antonio, and Marco Cavallaro. "Edge quality in fused deposition modeling: I. Definition and analysis." Rapid Prototyping Journal 23, no. 6 (October 17, 2017): 1079–87. http://dx.doi.org/10.1108/rpj-02-2016-0020.

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Purpose The purpose of this paper is to discuss the problem of the geometric accuracy of edges in parts manufactured by the Fused Deposition Modeling process, as a preliminary step for an experimental investigation. Methodology/approach Three geometric variables (inclination, included and incidence angles) were defined for an edge. The influence of each variable on the geometric errors was explained with reference to specific causes related to physical phenomena and process constraints. Findings Occurrence conditions for all causes were determined and visualized in a process map, which was also developed into a software procedure for the diagnosis of quality issues on digital models of the parts. Research limitations/implications The process map was developed by only empirical considerations and does not allow to predict the amount of geometric errors. In the second part of the paper, experimental tests will help to extend and validate the prediction criteria. Practical implications As demonstrated by an example, the results allow to predict the occurrence of visible defects on the edges of a part before manufacturing it with a given build orientation. Originality/value In literature, the geometric accuracy of additively manufactured parts is only related to surface features. The paper shows that the quality of edges depends on additional variables and causes to be carefully controlled by process choices.

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Ning, Wei, and Li He. "Some Modeling Issues on Trailing-Edge Vortex Shedding." AIAA Journal 39, no. 5 (May 2001): 787–93. http://dx.doi.org/10.2514/2.1411.

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Guan, Jingwei, Wei Zhang, Jason Gu, and Hongliang Ren. "No-reference blur assessment based on edge modeling." Journal of Visual Communication and Image Representation 29 (May 2015): 1–7. http://dx.doi.org/10.1016/j.jvcir.2015.01.007.

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Peng, Chubing, Seh Kwang Lee, and Soon Gwang Kim. "Modeling magneto-optical domain for mark edge recording." Journal of Magnetism and Magnetic Materials 162, no. 2-3 (September 1996): 369–76. http://dx.doi.org/10.1016/s0304-8853(96)00320-4.

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