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Journal articles on the topic 'Plate obstacle'

Author: Grafiati

Published: 28 June 2021

Last updated: 29 July 2025

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1

Lovíšek, Ján. "Optimal design of laminated plate with obstacle." Applications of Mathematics 37, no. 5 (1992): 321–42. http://dx.doi.org/10.21136/am.1992.104514.

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2

Na'inna, A.M., H.N. Phylaktou, and G.E. Andrews. "Prediction of distance to maximum intensity of turbulence generated by grid plate obstacles in explosion-induced flows." Journal of Loss Prevention in the Process Industries 69 (October 7, 2020): 1–13. https://doi.org/10.1016/j.jlp.2020.104318.

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The interaction of unburnt gas flow induced in an explosion with an obstacle results in the production of turbulence downstream of the obstacle and the acceleration of the flame when it reaches this turbulence. Currently, there are inadequate experimental measurements of these turbulent flows in gas explosions due to transient nature of explosion flows and the connected harsh conditions. Hence, majority of measurements of turbulent properties downstream of obstacles are done using steady-state flows rather than transient flows. Consequently, an empirical based correlation to predict distance t

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3

Na'inna, A.M., H.N. Phylaktou, and G.E. Andrews. "Influence of Obstacle Shapes in a Tubular Geometry with Two Obstacles of Variable Spacing." Journal of Fluid Flow, Heat and Mass Transfer (JFFHMT) 8 (February 19, 2021): 93–99. https://doi.org/10.11159/jffhmt.2021.011.

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Previous studies on the influence of obstacle shapes in gas explosions involved mainly single obstacles whereas only a few studies focused on multi-obstacle with constant spacing between obstacles. This paper is aimed at studying the influence of obstacle spacing on two obstacles of various shapes in a tubular geometry using 10% methane-air mixtures. For single obstacles of 20% blockage, 1-flat-bar produced the highest explosion severity followed by a baffle disc and orifice plate. The reverse was the case for 30% obstacle blockage. In case of double obstacle optimally spaced, 1-flat-bar produ

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4

Lazarev, N. P., D. Y. Nikiforov, and N. A. Romanova. "EQUILIBRIUM PROBLEM FOR A TIMOSHENKO PLATE CONTACTING BY THE SIDE AND FACE SURFACES." Челябинский физико-математический журнал 8, no. 4 (2023): 528–41. http://dx.doi.org/10.47475/2500-0101-2023-8-4-528-541.

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A new model for a Timoshenko plate contacting by the side surface or the edge of the bottom surface (with respect to the chosen coordinate system) with a rigid obstacle of a given configuration is justified. The non-deformable obstacle is defined by a cylindrical surface, the generators of which are perpendicular to the middle plane of the plate, as well as by a part of the plane that is parallel to the middle plane of the plate. A corresponding variational problem is formulated as a minimization of an energy functional over a non-convex set of admissible displacements. The set of admissible d

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5

Sundeep, Shivam, Xin Zhang, Siyang Zhong, and Huanxian Bu. "An experimental investigation of turbulent flow over a two-dimensional obstacle on a flat plate." INTER-NOISE and NOISE-CON Congress and Conference Proceedings 263, no. 2 (2021): 4459–70. http://dx.doi.org/10.3397/in-2021-2711.

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Aeroacoustic and aerodynamic characteristics of the turbulent boundary layer encountering a large obstacle are experimentally investigated in this paper. Two-dimensional obstacles with a square and a semi-circular cross-section mounted on a flat plate are studied in wind tunnel tests, with particular interests in the shear layer characteristics, wall pressure fluctuations, and far-field noise induced by the obstacles. Synchronized measurements of the far-field noise and the wall pressure fluctuations were conducted using microphone arrays in the far-field and flush-mounted in the plate, respec

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6

Yan, W. M., R. C. Hsieh, and C. Y. Soong. "Experimental Study of Surface-Mounted Obstacle Effects on Heat Transfer Enhancement by Using Transient Liquid Crystal Thermograph." Journal of Heat Transfer 124, no. 4 (2002): 762–69. http://dx.doi.org/10.1115/1.1459729.

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Effects of surface-mounted obstacles on the local heat transfer enhancement of a base plate are investigated by using transient liquid crystal thermograph technique. To explore the geometry effects of short obstacles, the height less than one hydraulic diameter (d), three cross-sectional shapes of obstacles, i.e., circular, square and diamond, with variations in number of obstacles, obstacle spacing, and free-stream Reynolds number are considered. The maximum number of the obstacles in tandem array is 3 and the spacing between obstacles is 1d, 2d, or 4d. The free-stream Reynolds number ranges

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7

Figueiredo, Isabel N., and Carlos F. Leal. "Sensitivity Analysis of a Nonlinear Obstacle Plate Problem." ESAIM: Control, Optimisation and Calculus of Variations 7 (2002): 135–55. http://dx.doi.org/10.1051/cocv:2002006.

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8

Murea, Cornel M., and Dan Tiba. "Approximation of a simply supported plate with obstacle." Mathematics and Mechanics of Solids 23, no. 3 (2017): 348–58. http://dx.doi.org/10.1177/1081286517718228.

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We discuss an algorithm for the solution of variational inequalities associated with simply supported plates in contact with a rigid obstacle. Our approach has a fixed domain character, uses just linear equations and approximates both the solution and the corresponding coincidence set. Numerical examples are also provided.

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9

Khludnev, A. M. "Optimal control of a plate over an obstacle." Siberian Mathematical Journal 31, no. 1 (1990): 146–52. http://dx.doi.org/10.1007/bf00971160.

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10

Sturova, I. V. "Propagation of plane surface waves over an underwater obstacle and a submerged plate." Journal of Applied Mechanics and Technical Physics 32, no. 3 (1991): 348–55. http://dx.doi.org/10.1007/bf00852137.

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11

Na'inna, A.M., H.N. Phylaktou, and G.E. Andrews. "Effects of obstacle separation distance on gas explosions: the influence of obstacle blockage ratio." Procedia Engineering 84 (November 20, 2014): 306–19. https://doi.org/10.1016/j.proeng.2014.10.439.

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Obstacle separation distance (pitch) has received little systematic study in the literature. Either too large or small spacing between obstacles would lead to lesser explosion severity. Therefore, an optimum value of the pitch that would produce the highest flame acceleration and hence overpressure is needed. It was the aim of this work to investigate the influence of obstacle blockage ratio on the obstacle spacing in gas explosions. The explosion tests were performed using methane-air (10% by vol.), in an elongated vented cylindrical vessel 162 mm internal diameter with an

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12

LAZAREV, N. P., D. Y. NIKIFOROV, and N. A. ROMANOVA. "EQUILIBRIUM PROBLEM FOR A TIMOSHENKO PLATE CONTACTING BY ITS LATERAL SURFACE ALONG A STRIP OF A GIVEN WIDTH." Челябинский физико-математический журнал 9, no. 4 (2024): 596–608. https://doi.org/10.47475/2500-0101-2024-9-4-596-608.

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A new model of a transversally isotropic Timoshenko plate is justified, which may come into contact by its side surface with a non-deformable obstacle along a strip of a given width. The non-deformable obstacle restricts displacements and rotation angles of the plate along the outer side edge. The obstacle is defined by a cylindrical surface, the generatrices of which are perpendicular to the middle plane of the plate. A problem is formulated in variational form. A set of admissible displacements is specified in a suitable Sobolev space in the framework of a clamping condition and a non-penetr

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13

Hlaváček, Ivan. "A mixed finite element method for plate bending with a unilateral inner obstacle." Applications of Mathematics 39, no. 1 (1994): 25–44. http://dx.doi.org/10.21136/am.1994.134241.

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14

Miersemann, E., and H. D. Mittelmann. "Stability in Obstacle Problems for the von Karman Plate." SIAM Journal on Mathematical Analysis 23, no. 5 (1992): 1099–116. http://dx.doi.org/10.1137/0523061.

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15

Wang, Tong Bin, Hai Peng Wang, Peng Xiao, Yi Qing Luan, and Li Li. "Substation Inspection Robot Crawler Obstacle-Navigation Platform Complex Environment Research." Applied Mechanics and Materials 415 (September 2013): 65–67. http://dx.doi.org/10.4028/www.scientific.net/amm.415.65.

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state grid electric power robotics laboratory has developed four generations of substation inspection robot, but large scope of substation outdoor and route of road surface condition is complex, the application of inspection robot produced strong constraints, the inspection robot under complex road conditions of obstacle ability put forward higher request. Through this study design of crawler obstacle-navigation platform enhances the obstacle negotiation ability, enable it to adapt to complex terrain conditions. Adopt six crawler structure, can cross the road the road opposite sides-to hold th

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16

Tan, Jun, Shiping He, and Zhenglong Du. "Numerical Simulation Study of Built-In Porous Obstacles to Improve the Thermal Stratification Performance of Storage Tanks." Applied Sciences 14, no. 15 (2024): 6529. http://dx.doi.org/10.3390/app14156529.

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Thermocline storage tanks are critical components in energy storage systems for solar renewable energy utilization. The use of thermal stratification of the working fluid within the storage tank for energy storage is a pivotal technology in these systems. Effective thermal stratification can significantly enhance energy storage efficiency, meet a broader range of user demands, and improve the overall performance of the storage tank. Therefore, enhancing the energy storage efficiency of storage tanks is an essential objective. To promote internal temperature stratification within the tank, this

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17

Boudiaf, Ahlem, Fetta Danane, Youb Khaled Benkahla, Nabila Labsi, and Abdelkader Boutra. "Heat transfer convection of a power law fluid flow within a parallel plate channel provided with two generating obstacles." Mechanics & Industry 19, no. 2 (2018): 210. http://dx.doi.org/10.1051/meca/2017003.

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The main objective of this work is to examine the heat transfer changes induced by the presence of heat generating obstacles and that for non-Newtonian fluid flow within a parallel plate channel. The effects of the two obstacle height and the distance between them, on the flow structure and Nusselt number are examined. The Finite Volume Method is used to discretize the conservation equations of mass, momentum, and energy. The SIMPLER algorithm is applied to remove the checkerboard pressure problem. The results are discussed in terms of streamlines and the Nusselt number for three combinations

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18

Bock, Igor, and Jiří Jarušek. "A vibrating thermoelastic plate in a contact with an obstacle." Tatra Mountains Mathematical Publications 63, no. 1 (2015): 39–52. http://dx.doi.org/10.1515/tmmp-2015-0019.

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Abstract We deal with a dynamic contact problem for a thermoelastic plate vibrating against a rigid obstacle. Dynamics is described by a hyperbolic variational inequality for deflections. The plate is subjected to a perpendicular force and to a heat source. The parabolic equation for the thermal strain resultant contains the time derivative of the deflection. We formulate a weak solution of the system and verify its existence using the penalization method.

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19

Halynskyi, V. P. "Calculation of the interaction of a supersonic jet with a flat obstacle inclined off the jet axis." Technical mechanics 2020, no. 4 (2020): 72–81. http://dx.doi.org/10.15407/itm2020.04.072.

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This paper presents results of a numerical solution of the model problem of the interaction of a plane supersonic jet with a semiinfinite flat plate inclinable off the jet axis. The paper is devoted to the study of the flow parameters in the jet flow field and the pressure distribution over the plate surface as a function of the plate inclination. The aim of the paper is to obtain the flow parameters in the jet flow field and the pressure distribution over the plate surface as a function of the plate inclination angle and front edge position. To obtain numerical results, marching algorithms in

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20

Rudoi, E. M., and A. M. Khludnev. "Unilateral contact of a plate with a thin elastic obstacle." Journal of Applied and Industrial Mathematics 4, no. 3 (2010): 389–98. http://dx.doi.org/10.1134/s1990478910030117.

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21

Pozzolini, Cédric, and Alain Léger. "A stability result concerning the obstacle problem for a plate." Journal de Mathématiques Pures et Appliquées 90, no. 6 (2008): 505–19. http://dx.doi.org/10.1016/j.matpur.2008.07.005.

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22

Gustafsson, Tom, Rolf Stenberg, and Juha Videman. "A stabilised finite element method for the plate obstacle problem." BIT Numerical Mathematics 59, no. 1 (2018): 97–124. http://dx.doi.org/10.1007/s10543-018-0728-7.

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23

Matsuura, K., and M. Nakano. "Disorganization of a hole tone feedback loop by an axisymmetric obstacle on a downstream end plate." Journal of Fluid Mechanics 757 (September 29, 2014): 908–42. http://dx.doi.org/10.1017/jfm.2014.504.

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AbstractThis study investigates the suppression of the sound produced when a jet, issued from a circular nozzle or hole in a plate, goes through a similar hole in a second plate. The sound, known as a hole tone, is encountered in many practical engineering situations. The mean velocity of the air jet $\def \xmlpi #1{}\def \mathsfbi #1{\boldsymbol {\mathsf {#1}}}\let \le =\leqslant \let \leq =\leqslant \let \ge =\geqslant \let \geq =\geqslant \def \Pr {\mathit {Pr}}\def \Fr {\mathit {Fr}}\def \Rey {\mathit {Re}}u_0$ was $6\text {--}12\ \mathrm{m}\ {\mathrm{s}}^{-1}$. The nozzle and the end plat

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24

Habeeb, Dhuha, Fuad Noman, Ammar Ahmed Alkahtani, et al. "Deep-Learning-Based Approach for Iraqi and Malaysian Vehicle License Plate Recognition." Computational Intelligence and Neuroscience 2021 (November 6, 2021): 1–14. http://dx.doi.org/10.1155/2021/3971834.

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Recognizing vehicle plate numbers is a key step towards implementing the legislation on traffic and reducing the number of daily traffic accidents. Although machine learning has advanced considerably, the recognition of license plates remains an obstacle, particularly in countries whose plate numbers are written in different languages or blended with Latin alphabets. This paper introduces a recognition system for Arabic and Latin alphabet license plates using a deep-learning-based approach in conjugation with data collected from two specific countries: Iraq and Malaysia. The system under study

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25

Defrian, Angga, and Zulfakri Zulfakri. "Studi Perbandingan Perilaku Dalam Reaktor Kolom Gelembung Secara Non-Katalitik Dengan Simulasi CFD Terhadap Kadar ME Biodiesel." Rona Teknik Pertanian 13, no. 1 (2020): 67–82. http://dx.doi.org/10.17969/rtp.v13i1.15911.

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Abstrak. Biodiesel dihasilkan melalui reaksi transesterifikasi atau reaksi esterifikasi asam lemak bebas dan tergantung dari kualitas minyak nabati yang digunakan sebagai bahan baku. Teknologi produksi biodiesel memiliki 2 metode yaitu metode katalis dan non katalis. Salah satu metoda produksi biodiesel tanpa katalis adalah metoda superheated methanol vapor (SMV). Namun metode inimenghasilkan kadar biodiesel yang rendah dari SNI. Salah satu cara untuk meningkatkan kadar biodiesel dengan meningkatkan luas kontak permukaan antara gelembung metanol dengan minyak. Hal ini dilakukan dengan memberik

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26

Carpinteri, Alberto, Gianni Niccolini, and Federico Accornero. "Analogy between Turbulent-to-Vortex Shedding Flow Transition in Fluids and Ductile-to-Brittle Failure Transition in Solids." Fluids 8, no. 4 (2023): 114. http://dx.doi.org/10.3390/fluids8040114.

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By using complex potentials, some light is shed on the analogy between the singularity problems arising in fluid and fracture mechanics—in particular, those concerning plane irrotational flows around sharp obstacles and plane elasticity in cracked bodies. Applications to two equivalent geometries are shown: a thin plate transversally immersed in a uniform flow and a crack subjected to uniform out-of-plane shearing stress at infinity (Mode III). The matching between the fluid velocity field and the shearing stress field is consistent with the hydrodynamic analogy. Aside from the Reynolds criter

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27

Rostane, Brahim, and Said Abboudi. "Numerical Study of Laminar Fluid Flow Around Two Heated Wall-Mounted Perforated Cubes in Tandem Arrangement." International Journal of Heat and Technology 40, no. 1 (2022): 157–66. http://dx.doi.org/10.18280/ijht.400119.

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In this study, the forced convection of a stationary laminar flow over two heated wall-mounted perforated cubes are presented. These two cubes are placed in a tandem arrangement on a flat plate. The equations of continuity, momentum and energy are solved using the finite volume method based on the Rhie and Chow method for velocity-pressure coupling. The influence of the perforation volume of the cubes is studied and compared with the case of obstacles without holes for a constant heat flux subjected to the solid part. The results of mean Nusselt number and drag coefficients are presented at th

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28

Kristensson, Gerhard. "Electromagnetic scattering by a bounded obstacle in a parallel plate waveguide." Journal of Quantitative Spectroscopy and Radiative Transfer 123 (July 2013): 92–102. http://dx.doi.org/10.1016/j.jqsrt.2013.01.018.

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29

Sarac, Betul, Hussain Al-Madani, and Teoman Ayhan. "Heat transfer from a short plate behind an obstacle in tandem." Energy Conversion and Management 52, no. 10 (2011): 3147–58. http://dx.doi.org/10.1016/j.enconman.2011.04.019.

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30

NING, JIANGUO, CHENG WANG, and JIE LU. "INFLUENCE OF OBSTACLES ON FLAME PROPAGATION OF MULTI-COMPOSITION MIXTURE GAS." Modern Physics Letters B 19, no. 28n29 (2005): 1687–90. http://dx.doi.org/10.1142/s0217984905010220.

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In this paper, we experiment with city coal gas/air mixture in enclosed duct to investigate the acceleration mechanism of orifice plate obstacles on flame and its influence on explosion overpressure. Experimental results indicate that obstacle-induced turbulence can continually accelerate flame during its propagation and enhance explosion overpressure, and that flame acceleration is due to the unburned mixture heated by leading compression wave in front of flame front and the positive feedback of obstacle-induced turbulent zone to combustion process. Based on multi-material cell program, we ad

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31

Ain, Qurrat Ul, Rashid Mahmood, and Waqas Sarwar Abbasi. "Control over Vortex Shedding and Drag Force on a Circular Obstacle Using a Pair of Downstream Splitter Plates in a Transient Flow." Mathematical Problems in Engineering 2023 (February 21, 2023): 1–10. http://dx.doi.org/10.1155/2023/6142773.

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The current work is an analysis of the laminar, two-dimensional, and transient flow over a circular cylinder with a two-branched splitter plate. For complex nonlinear governing equations, the finite element method is used as a computational approach. The objective of the current study is to determine the best conditions using geometrical characteristics along with the impact of Reynolds number R e .The geometric parameters, α which is the angle of separation between the pair of splitter plates of length L and G / D which is the gap from diameter ratio of the splitter plate to cylinder diameter

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32

Wu, Bangmin, and Jiali Qiu. "A C0 Nonconforming Virtual Element Method for the Kirchhoff Plate Obstacle Problem." Axioms 13, no. 5 (2024): 322. http://dx.doi.org/10.3390/axioms13050322.

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This paper investigates a novel C0 nonconforming virtual element method (VEM) for solving the Kirchhoff plate obstacle problem, which is described by a fourth-order variational inequality (VI) of the first kind. In our study, we distinguish our approach by introducing new internal degrees of freedom to the traditional lowest-order C0 nonconforming VEM, which originally lacked such degrees. This addition not only facilitates error estimation but also enhances its intuitiveness. Importantly, our novel C0 nonconforming VEM naturally satisfies the constraints of the obstacle problem. We then estab

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33

Yuan, Fengwei, Gengzhen Ren, Qian Deng, and Xiangjiang Wang. "Steam Generator Maintenance Robot Design and Obstacle Avoidance Path Planning." Sensors 25, no. 2 (2025): 514. https://doi.org/10.3390/s25020514.

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To solve the issue of inconvenient and dangerous manual operation during the installation and removal of the main pipe plugging plate in the steam generator in nuclear power plants, a ten-degree-of-freedom plugging robot was designed in the present study that includes a collaborative robotic arm coupled with a servo electric cylinder. By establishing a joint coordinate system for the robot model, a D-H parameter model for the plate plugging robot was established, and the forward and inverse kinematics were solved. The volume level approximate convex decomposition algorithm was used to fit the

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34

Tosone, C., and A. Maceri. "The Clamped Plate with Elastic Unilateral Obstacles: A Finite Element Approach." Mathematical Models and Methods in Applied Sciences 13, no. 09 (2003): 1231–43. http://dx.doi.org/10.1142/s021820250300288x.

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We consider the problem of a clamped elastic thin plate unilaterally constrained by an elastic obstacle. A discrete, finite element approach to solve this nonlinear problem is given here and its convergence properties are discussed.

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35

Hlaváček, Ivan. "Weight minimization of an elastic plate with a unilateral inner obstacle by a mixed finite element method." Applications of Mathematics 39, no. 5 (1994): 375–94. http://dx.doi.org/10.21136/am.1994.134266.

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36

Kazuo, Matsuura, and Nakano Masami. "1173 DISORGANIZATION OF A HOLE TONE FEEDBACK LOOP BY AN AXISYMMETRIC OBSTACLE ON A DOWNSTREAM END PLATE." Proceedings of the International Conference on Jets, Wakes and Separated Flows (ICJWSF) 2013.4 (2013): _1173–1_—_1173–6_. http://dx.doi.org/10.1299/jsmeicjwsf.2013.4._1173-1_.

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37

Eibeck, P. A. "An Experimental Study of the Flow Downstream of a Circular and Tapered Cylinder." Journal of Fluids Engineering 112, no. 4 (1990): 393–401. http://dx.doi.org/10.1115/1.2909416.

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The flow downstream of the intersection of both a circular and a tapered cylinder with a flat plate was examined at ReD = 1.3 × 105 using surface visualization, five-hole-probe anemometry, and flow visualization. A pair of large, counter-rotating swirls with common flow away from the wall and with centers over one diameter away from the wall was present downstream of both obstacles. It is suggested that the large, swirling pair are formed in the near wake of an obstacle that is exposed to symmetrical channel flow. A pair of smaller counter-rotating vortices with common flow toward the wall was

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38

Yan, Guan, and Bernadette Miara. "Mathematical justification of the obstacle problem in the case of piezoelectric plate." Asymptotic Analysis 96, no. 3-4 (2016): 283–308. http://dx.doi.org/10.3233/asy-151339.

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39

Han, Weimin, Dongying Hua, and Lieheng Wang. "Nonconforming Finite Element Methods for a Clamped Plate with Elastic Unilateral Obstacle." Journal of Integral Equations and Applications 18, no. 2 (2006): 267–84. http://dx.doi.org/10.1216/jiea/1181075382.

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40

KIM, Jun-ho, Masao ISHIZAKI, Naoki ENOMOTO, Koichi ISHIZAKA, Satoshi WATANABE, and Akinori FURUKAWA. "Suppression of Cavitation Surge of Inducer by Inserting Axi-asymmetric Obstacle Plate." Proceedings of the Fluids engineering conference 2004 (2004): 37. http://dx.doi.org/10.1299/jsmefed.2004.37.

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41

KIM, Jun-Ho, Koichi ISHIZAKA, Satoshi WATANABE, and Akinori FURUKAWA. "2436 Suppression of Cavitaiton Surge of Pump Inducer by Inserting Obstacle Plate." Proceedings of the JSME annual meeting 2006.2 (2006): 191–92. http://dx.doi.org/10.1299/jsmemecjo.2006.2.0_191.

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42

Guan, Yan. "Mathematical justification of an obstacle problem in the case of a plate." Chinese Annals of Mathematics, Series B 38, no. 5 (2017): 1047–58. http://dx.doi.org/10.1007/s11401-017-1021-9.

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43

Bock, Igor, and Mária Kečkemétyová. "An Optimal Control Problem for A Viscoelastic Plate in a Dynamic Contact with an Obstacle." Tatra Mountains Mathematical Publications 71, no. 1 (2018): 27–37. http://dx.doi.org/10.2478/tmmp-2018-0003.

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Abstract We deal with an optimal control problem governed by a nonlinear hyperbolic initial-boundary value problem describing the perpendicular vibrations of a simply supported anisotropic viscoelastic plate against a rigid obstacle. A variable thickness of a plate plays the role of a control variable. We verify the existence of an optimal thickness function.

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44

Chen, T., Y. F. Gu, C. P. Li, and Y. Q. Qiao. "Stamping and Springback of PEMFC Metal Bipolar Plate." Advanced Materials Research 215 (March 2011): 1–4. http://dx.doi.org/10.4028/www.scientific.net/amr.215.1.

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Recently, the key obstacle of proton exchange membrane fuel cell (PEMFC) development is the higher manufacturing cost. In a PEMFC stack, bipolar plate is a main and multifunctional component, which accounts for the 60%-80% of total weight and 30%-45% of stack cost. So the forming cost of bipolar plate will influence the entire PEMFC manufacturing costs. Metal bipolar plate, which can satisfy the requirement, can be used for mass production to reduce the cost. Finite element analysis (FEA) of stamping and springback for metal bipolar plate is studied by ANSYS/LS-DYNA to be feasible.

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45

Furtsev, A. I. "The unilateral contact problem for a Timoshenko plate and a thin elastic obstacle." Sibirskie Elektronnye Matematicheskie Izvestiya 17 (March 10, 2020): 364–79. http://dx.doi.org/10.33048/semi.2020.17.023.

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46

Feng, Fang, Weimin Han, and Jianguo Huang. "The virtual element method for an obstacle problem of a Kirchhoff-Love plate." Communications in Nonlinear Science and Numerical Simulation 103 (December 2021): 106008. http://dx.doi.org/10.1016/j.cnsns.2021.106008.

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47

Spall, R. E., and M. R. Malik. "The Linear Stability of a Flat Plate Boundary-Layer Approaching a Cylindrical Obstacle." Journal of Fluids Engineering 114, no. 3 (1992): 306–12. http://dx.doi.org/10.1115/1.2910031.

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The linear stability of the low-speed three-dimensional flow over a flat plate with an attached cylinder is studied. The region of interest is upstream of the initial separation point and includes the effects of both adverse and favorable pressure gradients, as well as crossflow. The resulting boundary-layer is subject to both the Tollmien-Schlichting (TS) and crossflow instabilities. Linear stability calculations, using N-factor correlations, indicate that the transition process would be dominated by TS instabilities, although for low frequencies crossflow-type disturbances are important.

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Furtsev, A. I. "On Contact Between a Thin Obstacle and a Plate Containing a Thin Inclusion." Journal of Mathematical Sciences 237, no. 4 (2019): 530–45. http://dx.doi.org/10.1007/s10958-019-04179-z.

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Feng, Fang, and Jianguo Huang. "The virtual element method for a nonhomogeneous double obstacle problem of Kirchhoff plate." Nonlinear Analysis: Real World Applications 71 (June 2023): 103831. http://dx.doi.org/10.1016/j.nonrwa.2023.103831.

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Miersemann, E., and H. D. Mittelmann. "On the Stability in Obstacle Problems with Applications to the Beam and Plate." ZAMM - Journal of Applied Mathematics and Mechanics / Zeitschrift für Angewandte Mathematik und Mechanik 71, no. 9 (1991): 311–21. http://dx.doi.org/10.1002/zamm.19910710902.

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