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Journal articles on the topic 'Layer Analysis'

To see the other types of publications on this topic, follow the link: Layer Analysis.

Author: Grafiati

Published: 4 June 2021

Last updated: 12 February 2022

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1

Lee, Chiun-Chang. "Thin layer analysis of a non-local model for the double layer structure." Journal of Differential Equations 266, no. 1 (January 2019): 742–802. http://dx.doi.org/10.1016/j.jde.2018.07.055.

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2

Floors, Rogier, Sven-Erik Gryning, Alfredo Peña, and Ekaterina Batchvarova. "Analysis of diabatic flow modification in the internal boundary layer." Meteorologische Zeitschrift 20, no. 6 (December 1, 2011): 649–59. http://dx.doi.org/10.1127/0941-2948/2011/0290.

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3

Willey, Ronald J. "Layer of Protection Analysis." Procedia Engineering 84 (2014): 12–22. http://dx.doi.org/10.1016/j.proeng.2014.10.405.

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4

Lv, S. J., Yang Wang, and Shi Jun Ji. "Quality Analysis of Pulsed Laser Cutting of Superalloy Sheet." Key Engineering Materials 315-316 (July 2006): 113–17. http://dx.doi.org/10.4028/www.scientific.net/kem.315-316.113.

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This paper presents the experiments of Nd:YAG pulsed laser cutting of GH3536 superalloy sheet and investigates the influences of different cutting parameters on laser cut quality factors including recast layer, kerf width and dross formation. The results show that the recast layer possesses finer granularity and higher hardness than those of the matrix, and the thickness of recast layer increases with increased pulse energy and decreases as the cutting speed and gas pressure increase. Oxygen-assisted cutting comes with thick recast layers and argon-assisted cutting acquires thin layers. The low-strength oxide layer worsens the kerf surfaces in oxygen-assisted cutting while argon-assisted cutting produces unaffected surface quality and is suitable for applications with subsequent welding.

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5

Qiu, T. Q., and C. L. Tien. "Femtosecond laser heating of multi-layer metals—I. Analysis." International Journal of Heat and Mass Transfer 37, no. 17 (November 1994): 2789–97. http://dx.doi.org/10.1016/0017-9310(94)90396-4.

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6

Hossain, Md Sajid, and Dewan Mohammed Abdul Ahad. "Performance Analysis of Modulation Response of a Designed 1550 nm Oxide Confined Vertical Cavity Surface Emitting Laser." AIUB Journal of Science and Engineering (AJSE) 17, no. 3 (November 30, 2018): 83–88. http://dx.doi.org/10.53799/ajse.v17i3.13.

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This paper aims to present the impact of using oxidized layer and the effect of oxide aperture size on VCSEL’s modulation performance. After the introduction of oxidized layer, the characteristics of VCSEL have improved immensely, especially in modulation performance. The peak material gain of Al0.06Ga0.24In0.70As/InP MQW VCSEL found from the MATLAB simulation tools has been utilized for investigating the modulation characteristics of the laser model. The optical output power of 27.23 dBm is found at 2.5 mA of current injection. Later, by varying the injection current up to 2.5 mA a maximum frequency of resonance of 10.75 GHz and the equivalent -3dB cut off frequency of 11.85 GHz are achieved. It is seen that with the reduction of oxide aperture size and increase of injection current, the frequency of resonance in addition to the -3dB cut off frequency of the laser increases. The use of oxidized layer and impact of aperture size effect on VCSEL’s -3dB cut off frequency.

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7

Du, Yihong, and Zongming Guo. "Boundary layer and spike layer solutions for a bistable elliptic problem with generalized boundary conditions." Journal of Differential Equations 221, no. 1 (February 2006): 102–33. http://dx.doi.org/10.1016/j.jde.2005.08.006.

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8

Chen, L., F. Wang, and J. Y. Wu. "Theoretical analysis and numerical simulation of laser driven multi-layered flyer." Laser and Particle Beams 31, no. 4 (October 9, 2013): 735–45. http://dx.doi.org/10.1017/s0263034613000785.

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AbstractA flyer with high velocity and good integrity can be obtained by laser driven multi-layered film. In order to deeply study the action mechanism, a calculation model of laser driven multi-layered flyer has been established, taking into account the effect of multi-layered on flyer velocity increase. Multi-layered flyer velocity driven by laser pulse beam has been calculated to decide film configuration capable of forming a high velocity flyer. Taking this film configuration as object, an intense laser driven multi-layered flyer experiment has been conducted to obtain flyer velocity and verify calculation model. In order to analyze flyer motion details, a two-dimensional axisymmetric computation model of laser driven flyer has been established. In this study, laser energy spatial-temporal distribution, film ablation, and plasma absorption laser to drive flyer have been considered. Saha ionization equilibrium equation is adopted to calculate film ionization degree and give plasma state equation. Dynamic mesh algorithm is used to calculate flyer motion. Coupled numerical simulation of laser ablation, laser interaction with plasma and plasma driven flyer has been achieved. Results show that flyer velocity firstly increases and then decreases with the increase of ablation layer thickness. Ablation layer has an optical laser absorption depth for different layer materials. Plasma velocity distribution is linear in axial when flyer accelerates. Insulation layer can decrease flyer temperature effectively to keep flyer integrity.

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9

Lubas, Janusz, Wojciech Szczypiński-Sala, Paweł Woś, Edyta Zielińska, and Krzysztof Miernik. "Experimental Analysis of Tribological Processes in Friction Pairs with Laser Borided Elements Lubricated with Engine Oils." Materials 13, no. 24 (December 19, 2020): 5810. http://dx.doi.org/10.3390/ma13245810.

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The present study discusses the influence of engine oils on the tribological parameters of sliding couples with laser borided surface layer. The borided layer was formed on specimens made from AISI 5045 steel by laser remelting of a surface layer coated with amorphous boron. The sliding friction and wear process was carried out on the pairs with AISI 5045 steel and SAE-48 bearing alloys which were lubricated with 5W-40 and 15W-40 engine oils. The investigation showed significant differences in the friction coefficient and temperature in the tested pairs with the laser borided surface layer. In the couples lubricated with 5W-40 engine oil, the tested parameter of friction was higher than in the couples lubricated with 15W-40 engine oil. The couples lubricated with 5W-40 engine oil showed more intensive wear of SAE-48 bearing alloy in contact with the laser borided surface layer than the pairs lubricated with 15W-40 engine oil. The laser borided surface layer used in friction pairs leads to the destruction of the lubricating properties of engine oils and reduces its resistance to scuffing.

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10

Bailey, P., T. C. Q. Noakes, C. J. Baddeley, G. van der Laan, D. Brown, P. D. Quinn, and D. P. Woodruff. "Aspects of layer-by-layer composition analysis using MEIS." Current Applied Physics 3, no. 1 (February 2003): 89–92. http://dx.doi.org/10.1016/s1567-1739(02)00242-0.

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11

Gao, Peng, Zhi Liao, Xin-xing Wang, Lin-fei Bao, Mei-hua Fan, Xiao-min Li, Chang-wen Wu, and Shu-wei Xia. "Layer-by-Layer Proteomic Analysis of Mytilus galloprovincialis Shell." PLOS ONE 10, no. 7 (July 28, 2015): e0133913. http://dx.doi.org/10.1371/journal.pone.0133913.

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12

Pillai, Karthik V., and Scott Renneckar. "Dynamic mechanical analysis of layer-by-layer cellulose nanocomposites." Industrial Crops and Products 93 (December 2016): 267–75. http://dx.doi.org/10.1016/j.indcrop.2016.02.037.

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13

Bendib, K., A. Bendib, K. Bendib, A. Bendib, A. Sid, and K. Bendib. "Weibel instability analysis in laser-produced plasmas." Laser and Particle Beams 16, no. 3 (September 1998): 473–90. http://dx.doi.org/10.1017/s0263034600011289.

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Analytic analysis of collisionless Weibel modes in laser-created plasmas is presented. The heat flux (HF), the plasma expansion (PE), and the inverse bremsstrahlung absorption (IBA) sources have been investigated. It has been shown that for short laser wavelengths (λL < 1 µm) and high laser fluxes (I > 1014 W/cm2), the inverse bremsstrahlung absorption is the most efficient Weibel mechanism for producing strong magnetic fields in the vicinity of the critical layer. For large laser wavelengths (λL < 10 µm), the production of the magnetic fields in the vicinity of the critical layer, due to the plasma expansion mechanism, is as important as the ones due to the thermal transport and the inverse bremsstrahlung absorption mechanisms. Useful scaling laws of convective e-foldings, with respect to the laser and the plasma parameters, are also derived.

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14

Chertock, Alina, Alexander Kurganov, Alexander Kurganov, Zhuolin Qu, and Tong Wu. "THREE-LAYER APPROXIMATION OF TWO-LAYER SHALLOW WATER EQUATIONS." Mathematical Modelling and Analysis 18, no. 5 (December 1, 2013): 675–93. http://dx.doi.org/10.3846/13926292.2013.869269.

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Two-layer shallow water equations describe flows that consist of two layers of inviscid fluid of different (constant) densities flowing over bottom topography. Unlike the single-layer shallow water system, the two-layer one is only conditionally hyperbolic: the system loses its hyperbolicity because of the momentum exchange terms between the layers and as a result its solutions may develop instabilities. We study a three-layer approximation of the two-layer shallow water equations by introducing an intermediate layer of a small depth. We examine the hyperbolicity range of the three-layer model and demonstrate that while it still may lose hyperbolicity, the three-layer approximation may improve stability properties of the two-layer shallow water system.

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15

Ikeda, Hideo. "Stability characteristics of transition layer solutions." Journal of Dynamics and Differential Equations 5, no. 4 (October 1993): 625–71. http://dx.doi.org/10.1007/bf01049142.

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16

Zhu, Wenhua, Bo Wang, Chen Fu, and Jimin Fang. "Selectivity analysis of femtosecond laser polarizer by three-layer grating." Laser Physics 30, no. 6 (May 19, 2020): 066201. http://dx.doi.org/10.1088/1555-6611/ab89af.

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17

Libby, Paul A. "Book Review: Boundary Layer Analysis." AIAA Journal 31, no. 4 (April 1993): 795. http://dx.doi.org/10.2514/3.49027.

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18

Kuwamura, Goro, Saburo Hayano, Koji Takano, Kazunori Kamada, Toshiharu Enomae, and Fumihiko Onabe. "Structural Analysis of Coated Layer." JAPAN TAPPI JOURNAL 52, no. 2 (1998): 177–83. http://dx.doi.org/10.2524/jtappij.52.177.

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19

Mariam Abraham, Anju. "Analysis of LTE Physical Layer." International Journal of Advanced Research in Electrical, Electronics and Instrumentation Engineering 4, no. 9 (September 20, 2015): 7432–37. http://dx.doi.org/10.15662/ijareeie.2015.0409005.

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20

Leoni, Matteo. "Diffraction analysis of layer disorder." Zeitschrift für Kristallographie Supplements 2008, no. 27 (February 2008): 3. http://dx.doi.org/10.1524/zksu.2008.0002.

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21

Napadłek, W. "Analysis of Selected Properties 100CrMnSi6-4 Surface Layer after Laser Micro-Smelting." Archives of Metallurgy and Materials 62, no. 2 (June 1, 2017): 757–62. http://dx.doi.org/10.1515/amm-2017-0113.

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AbstractThe use of laser ablation phenomenon with the “thermal effect” to produce surface textures, mainly lubricant micro-containers in the form of spherical micro-bowls in the surface layer of 100CrMnSi6-4 alloy of bearing steel. This is interesting research topic. The application the local (zonal) laser hardening of the steel surface layer on the surface of the bearing raceway or casts gives technological opportunities to deploy those technologies in the production process. The article presents the selected results of the own laboratory studies of hardness, microstructure and surface stereometry bearing steel 100CrMnSi6-4 in different states after volume hardening and low tempering, as well as those obtained as a result of laser surface texturing and laser pulsed hardening. The study results can be used to modify the surface layer of 100CrMnSi6-4 bearing steel and in the nearest future use ablative laser texturing of the rolling bearings treadmill surface in the production of lubricanting micro-containers, for improving the wear resistance tribological pair of roller – raceway in the friction conditions.

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22

Senashov, V. I. "Characterization of layer-finite groups." Algebra and Logic 28, no. 6 (November 1989): 449–61. http://dx.doi.org/10.1007/bf01980236.

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23

Golubeva, A. A., S. V. Konovalov, Yu F. Ivanov, K. A. Osintsev, and I. A. Komissarova. "Layer-by-Layer Analysis of the Cr–Ni–Ti Coating Substructure Obtained via Selective Laser Melting." Journal of Surface Investigation: X-ray, Synchrotron and Neutron Techniques 14, no. 5 (September 2020): 1022–28. http://dx.doi.org/10.1134/s1027451020050286.

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24

Sateesh, V. L., C. S. Upadhyay, and C. Venkatesan. "Layer-by-Layer Finite Element Analysis of Smart Composite Plates." Advanced Materials Research 47-50 (June 2008): 1011–14. http://dx.doi.org/10.4028/www.scientific.net/amr.47-50.1011.

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Electric field-polarization interaction shows nonlinear effects in the constitutive relations. In this study, an attempt is made to include these interaction effects in the finite element formulation. A layer-by-layer finite element code is developed to handle the linear and nonlinear problems. Linear and nonlinear analysis is carried out for a smart plate with surfacemounted distributed piezo layer. The nonlinearity leads to a significant increase in the transverse deformation.

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25

Gao, Peng, Zhi Liao, Xin-xing Wang, Lin-fei Bao, Mei-hua Fan, Xiao-min Li, Chang-wen Wu, and Shu-wei Xia. "Correction: Layer-by-Layer Proteomic Analysis of Mytilus galloprovincialis Shell." PLOS ONE 10, no. 9 (September 3, 2015): e0137487. http://dx.doi.org/10.1371/journal.pone.0137487.

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26

Wu, Jong-Shyong, Hung-Sying Jing, and Chun-Rong Cheng. "Free-vibration analysis of single-layer and two-layer bimodular beams." International Journal for Numerical Methods in Engineering 28, no. 4 (April 1989): 955–65. http://dx.doi.org/10.1002/nme.1620280416.

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27

Wahlén, Erik. "Steady water waves with a critical layer." Journal of Differential Equations 246, no. 6 (March 2009): 2468–83. http://dx.doi.org/10.1016/j.jde.2008.10.005.

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28

T., Kannan. "Throughput Analysis on MIMO-OFDM with Modified QoS Guarantee Cross Layer Algorithm." Journal of Advanced Research in Dynamical and Control Systems 12, no. 1 (February 13, 2020): 233–38. http://dx.doi.org/10.5373/jardcs/v12i1/20201034.

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29

Hacıoğlu, Taner, and Ali Güneş. "PERFORMANCE ANALYSIS IN MULTI-LAYER MULTI USER WEB SYSTEMS AND AN APPLICATION." E-journal of New World Sciences Academy 14, no. 3 (July 22, 2019): 88–103. http://dx.doi.org/10.12739/nwsa.2019.14.3.1a0434.

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30

Hosseini-Tehrani, P., M. R. Eslami, and M. H. Shojaeefard. "Generalized thermoelastic analysis of layer interface excited by pulsed laser heating." Engineering Analysis with Boundary Elements 27, no. 9 (October 2003): 863–69. http://dx.doi.org/10.1016/s0955-7997(03)00069-9.

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31

Zhu, De Rong, Zi Jiang Yang, Hui Zhang, Shi Zhong Liu, and Gui Xia Ning. "Finite Element Analysis on Orthotropic Deck with Composite Pavement Layer." Applied Mechanics and Materials 275-277 (January 2013): 1163–66. http://dx.doi.org/10.4028/www.scientific.net/amm.275-277.1163.

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Orthotropic steel deck; Shear nail; Steel fiber concrete pavement layer; Stress analysis. Abstract. Aiming at the optimization design of composite pavement on orthotropic deck in a streamlined steel box girder with lager wide-to-span ratio, finite element analysis is taken under various loads supplemented with static model; the stress distribution is analyzed in each part of the pavement layer. The theoretical results show that the deck of the bridge displays obviously orthotropic features; shear nails with reasonable density can increase the binding capability of each part of deck pavement and overall mechanical performance. It can be concluded that the service life of the deck pavement can be extended by the use of steel fiber concrete layer.

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32

Zuzánek, Lukáš, Ondřej Řidký, Nikolaj Ganev, and Kamil Kolařík. "X-Ray Diffraction Analysis of Steel with Oxidised Surface Layer." Defect and Diffusion Forum 368 (July 2016): 99–102. http://dx.doi.org/10.4028/www.scientific.net/ddf.368.99.

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The basic principle of the X-ray diffraction analysis is based on the determination of components of residual stresses. They are determined on the basis of the change in the distance between atomic planes. The method is limited by a relatively small depth in which the X-ray beam penetrates into the analysed materials. For determination of residual stresses in the surface layer the X-ray diffraction and electrolytic polishing has to be combined. The article is deals with the determination of residual stress and real material structure of a laser-welded steel sample with an oxide surface layer. This surface layer is created during the rolling and it prevents the material from its corrosion. Before the X-ray diffraction analysis can be performed, this surface layer has to be removed. This surface layer cannot be removed with the help of electrolytic polishing and, therefore, it has to be removed mechanically. This mechanical procedure creates “technological” residual stress in the surface layer. This additional residual stress is removed by the electrolytic polishing in the depth between 20 and 80 μm. Finally, the real structure and residual stresses can be determined by using the X-ray diffraction techniques.

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33

Li, Shuo, Fang Yi Li, Bao Long Gong, and Qing Dong Hao. "Measurement and Analysis of the Polarization Curves of Laser Cladding Layer or Cold Welding Layer on FV520B." Applied Mechanics and Materials 441 (December 2013): 409–12. http://dx.doi.org/10.4028/www.scientific.net/amm.441.409.

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The polarization curves of repairing layer of cold welding and iron-based material were measured by linear sweep voltammetry technology (LSV) in perchlorate or chromate solution, meanwhile, the range of maintaining passivity potential and current was obtained according to the polarization curves. The results showed that the passivation of cold welding and cladding iron-based material was becoming obvious with the increasing perchlorate or chromate concentration. Laser cladding iron-based material had better property of passivation than the cold welding material, while its corrosion property was inferior to the cold welding.

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34

Huffman, Michaela, and Daniel Antoine. "Analysis of Cementum Layers in Archaeological Material." Dental Anthropology Journal 23, no. 3 (September 2, 2018): 67–73. http://dx.doi.org/10.26575/daj.v23i3.79.

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The aim of this study was to assess the utility of cementum layers for estimating age at death of remains from an archaeological site. Variability in cementum layer counts due to interobserver error and variation among dental regions were analyzed. Interobserver error was later incorporated into age ranges based on counts of cementum layers and compared with age estimates derived from the skeleton. The layers were counted, using 9 teeth from 3 individuals, and the eruption age of the tooth was summed with the average layer count to achieve an estimated age. The research indicates that the assessment of archaeological dental cementum layers has a relatively high interobserver error. The cementum layer aging method resulted in large age ranges and did not correspond with age ranges from skeletal techniques. Chemical diagenetic processes can affect the observation and count of cementum layers by obscuring bands and/or creating additional bands. The variables that affected observability of cementum layers were: high interobserver error, discrepancy of readability of root regions, and large age ranges using the cementum layer technique that exceeded age ranges derived from other, skeletal methods.

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35

Chen, Dyi-Cheng, Ming-Fei Chen, and Ming-Ren Chen. "Thermal Effect on a CIGS Thin-Film Solar Cell P2 Layer by Using a UV Laser." Advances in Mechanical Engineering 6 (January 1, 2014): 723136. http://dx.doi.org/10.1155/2014/723136.

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This study used ANSYS simulation software for analyzing an ultraviolet (UV) (355 nm) laser processing system. The laser apparatus was used in a stainless steel CIGS solar cell P2 layer for simulation analysis. CIGS films process order according to S iO2 layer, molybdenum electrode, CIGS absorbed layer, CdS buffered layer, i-ZnO penetrate light layer, TCO front electrode, MgF resist reflected materials, andelectrode materials. The simulation and experimental results were compared to obtain a laser-delineated P2 laser with a low melting and vaporization temperature. According to the simulation results, the laser function time was 135 μs, the UV laser was 0.5 W, and the P2 layer thin films were removed. The experimental results indicated that the electrode pattern of the experiment was similar to that of the simulation result, and the laser process did not damage the base plate. The analysis results confirm that the laser apparatus is effective when applied to a stainless steel CIGS solar cell P2 layer.

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36

Beenen, A., G. Spanner, and R. Niessner. "Photoacoustic Depth-Resolved Analysis of Tissue Models." Applied Spectroscopy 51, no. 1 (January 1997): 51–57. http://dx.doi.org/10.1366/0003702971938966.

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Pulsed photoacoustic laser spectroscopy was used for depth-resolved analysis of artificial tissue models. The technique was applied to investigate the spatial resolution capabilities of a fiber-optical-coupled photoacoustic sensor head. The time-resolved measurements confirmed the theoretical predictions of a depth resolution of 0.1 mm. In an adapted skin model, a strongly absorbing target could be detected up to a layer depth of 14 mm. At a layer depth of 5 mm, a lateral resolution of 3.5 mm was achieved. Because of the depth-resolving capability, this method is well suited as a complementary approach for two-dimensional imaging techniques.

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37

Kubis, Alan J., Kasi V. Somayajula, Andrew G. Sharkey, and David M. Hercules. "Laser mass spectrometric analysis of compounds separated by thin-layer chromatography." Analytical Chemistry 61, no. 22 (November 15, 1989): 2516–23. http://dx.doi.org/10.1021/ac00197a013.

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38

Gao Yali, 高亚丽, 接勐 Jie Meng, 王存山 Wang Cunshan, and 张海波 Zhang Haibo. "Analysis of the Microstructure of Laser Melting Layer on Mg Alloy." Applied laser 33, no. 1 (2013): 34–39. http://dx.doi.org/10.3788/al20133301.0034.

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39

Gao Yali, 高亚丽, 接勐 Jie Meng, 王存山 Wang Cunshan, and 张海波 Zhang Haibo. "Analysis of the Microstructure of Laser Melting Layer on Mg Alloy." APPLIED LASER 33, no. 1 (2013): 34–39. http://dx.doi.org/10.3788/al20133301.034.

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40

Amann, M. C. "Rigorous waveguiding analysis of the separated multiclad-layer stripe-geometry laser." IEEE Journal of Quantum Electronics 22, no. 10 (October 1986): 1992–98. http://dx.doi.org/10.1109/jqe.1986.1072894.

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41

Del Vecchio, A., L. Tapfer, C. Aruta, G. Balestrino, and G. Petrocelli. "Structural analysis of infinite layer superlattices grown by pulsed laser deposition." Journal of Applied Physics 80, no. 2 (July 15, 1996): 781–86. http://dx.doi.org/10.1063/1.362886.

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42

Chen, A. M., Y. F. Jiang, L. Z. Sui, H. Liu, M. X. Jin, and D. J. Ding. "Thermal analysis of double-layer metal films during femtosecond laser heating." Journal of Optics 13, no. 5 (April 7, 2011): 055503. http://dx.doi.org/10.1088/2040-8978/13/5/055503.

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43

Chen, Yu Ru, and Long Sun Chao. "Experimental Analysis for Low-Temperature Poly-Si Films Produced by Using the Excimer Laser Annealing Method." Materials Science Forum 505-507 (January 2006): 277–82. http://dx.doi.org/10.4028/www.scientific.net/msf.505-507.277.

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This paper is to investigate the effects on grain size of different working conditions for making poly Si films by using the excimer laser annealing method. In this research, a KrF excimer laser of 248 nm in wavelength is used to irradiate a-Si films of 0.1 μm in thickness on glass substrate to produce poly-Si ones. The control parameters are laser intensity (200~500 mJ/cm2), pulse number (1~10 shots) and coverage fraction (0~100%). Besides, the effect of a SiO2 layer is also studied, which is utilized as a heat-isolated zone located between the Si film and glass substrate. Average grain sizes from SEM photos are used to analyze the effects of these parameters. Purely from the heat transfer view, the Si film obtains more energy would have the slower cooling or solidification rate, which results in the larger grain. From the experimental results, if the melt pool is within the range of Si film or does not contact its neighboring layer (SiO2 layer or glass substrate), the more absorbed energy from the higher energy intensity, the larger pulse number or the bigger coverage fraction can have the larger average grain size. However, with large enough energy, the melt pool could go through the Si film and touch the lower layer. This would induce much more nuclei due to the homogeneous nucleation in the pool and the heterogeneous nucleation near the interface between the film and the neighboring layer. The resulting grain size is much smaller than that of the former one. The transition points of these two cases for different control parameters can be obtained from the experimental results in this study. When the energy from the laser is small, the SiO2 layer acts like a heat absorber and makes the grain size smaller than that of not having the SiO2 layer. On the other hand, when the energy is large, the SiO2 layer becomes a heat insulator and makes the grain size larger.

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44

Gérard-Varet, David, and Thierry Paul. "Remarks on Boundary Layer Expansions." Communications in Partial Differential Equations 33, no. 1 (January 2008): 97–130. http://dx.doi.org/10.1080/03605300701257336.

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45

Dumortier, Freddy, and Robert Roussarie. "Multi-layer canard cycles and translated power functions." Journal of Differential Equations 244, no. 6 (March 2008): 1329–58. http://dx.doi.org/10.1016/j.jde.2007.08.013.

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46

Du, Yihong, and Shusen Yan. "Boundary blow-up solutions with a spike layer." Journal of Differential Equations 205, no. 1 (October 2004): 156–84. http://dx.doi.org/10.1016/j.jde.2004.06.010.

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47

Bakulin, V. N. "Layer-by-Layer Analysis of the Stress-Strain State of Three-Layer Shells with Cutouts." Mechanics of Solids 54, no. 3 (May 2019): 448–60. http://dx.doi.org/10.3103/s0025654419020092.

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48

Ahmad, Sheikh N., C. S. Upadhyay, and C. Venkatesan. "Electroelastic Analysis and Layer-by-Layer Modeling of a Smart Beam." AIAA Journal 43, no. 12 (December 2005): 2606–16. http://dx.doi.org/10.2514/1.8445.

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Takagi, Shiro, Yuki Yoshida, and Masato Okada. "Impact of Layer Normalization on Single-Layer Perceptron — Statistical Mechanical Analysis." Journal of the Physical Society of Japan 88, no. 7 (July 15, 2019): 074003. http://dx.doi.org/10.7566/jpsj.88.074003.

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Batys, Piotr, Magdalena Nosek, and Paweł Weroński. "Structure analysis of layer-by-layer multilayer films of colloidal particles." Applied Surface Science 332 (March 2015): 318–27. http://dx.doi.org/10.1016/j.apsusc.2015.01.171.

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