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Journal articles on the topic 'Critical plane'

Author: Grafiati

Published: 4 June 2021

Last updated: 25 July 2025

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1

Jensen, Iwan, and Anthony J. Guttmann. "Critical exponents of plane meanders." Journal of Physics A: Mathematical and General 33, no. 21 (2000): L187—L192. http://dx.doi.org/10.1088/0305-4470/33/21/101.

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2

Norton, Alec, and Charles Pugh. "Critical sets in the plane." Michigan Mathematical Journal 38, no. 3 (1991): 441–59. http://dx.doi.org/10.1307/mmj/1029004393.

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3

Karolczuk, Aleksander, and Ewald Macha. "Critical Planes in Multiaxial Fatigue." Materials Science Forum 482 (April 2005): 109–14. http://dx.doi.org/10.4028/www.scientific.net/msf.482.109.

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The paper includes a review of literature on the multiaxial fatigue failure criteria based on the critical plane concept. The criteria were divided into three groups according to the distinguished fatigue damage parameter used in the criterion, i.e. (i) stress, (ii) strain and (iii) strain energy density criteria. Each criterion was described mainly by the applied the critical plane position. The multiaxial fatigue criteria based on two critical planes seem to be the most promising. These two critical planes are determined by different fatigue damage mechanisms (shear and tensile mechanisms).

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4

Holec, D., and Colin J. Humphreys. "Calculations of Equilibrium Critical Thickness for Non-Polar Wurtzite InGaN/GaN Systems." Materials Science Forum 567-568 (December 2007): 209–12. http://dx.doi.org/10.4028/www.scientific.net/msf.567-568.209.

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We investigate critical thicknesses of InGaN epilayers grown on GaN substrates with the growth-plane not being the c-plane. In particular, we focus on non-polar orientations with growth planes being the m- and a-planes. We have taken into account the proper hexagonal symmetry of wurtzite GaN. We have found that there is only a small difference in the critical thickness for the cplane and the a-plane material; however, in the case of the m-plane material, we predict a quite different behaviour along the (in-plane) c-axis and the perpendicular (in-plane) a-direction.

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5

Zhou, Y., and R. A. Antonia. "Critical points in a turbulent near wake." Journal of Fluid Mechanics 275 (September 25, 1994): 59–81. http://dx.doi.org/10.1017/s0022112094002284.

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Velocity data were obtained in the turbulent wake of a circular cylinder with an orthogonal array of sixteen X-wires, eight in the (x, y)-plane and eight in the (x, z)-plane. By applying the phase-plane technique to these data, three types of critical points (where the velocity is zero and the streamline slope is indeterminate) were identified. Of these, foci and saddle points occurred most frequently, although a significant number of nodes was also found. Flow topology and properties associated with these points were obtained in each plane. Saddle-point regions associated with spanwise vortic

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6

Bobroff, Norman. "Critical alignments in plane mirror interferometry." Precision Engineering 15, no. 1 (1993): 33–38. http://dx.doi.org/10.1016/0141-6359(93)90276-g.

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7

Raskin, Igor, and John Roorda. "In-Plane and Out-of-Plane Buckling of Triangulated Grids." International Journal of Space Structures 10, no. 1 (1995): 57–63. http://dx.doi.org/10.1177/026635119501000103.

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The stability of plane, triangulated, uniformly compressed grids with rigid nodes is considered. The lowest critical loads for grids of hexagonal, triangular and rhombic overall layout are calculated for the case of in-plane buckling and associated modes are obtained. The lower and upper bounds for these critical loads related to the behaviour of a single triangular cell are given. The connection between symmetry of the buckled configurations and the multiplicity of corresponding critical points is discussed and illustrated by the example of out-of-plane buckling of hexagonal grid.

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8

Wang, Lei, Tian Zhong Sui, Yu Ma, and Yan Sun. "Determination of the Critical Plane under the Multiaxial Complex Loading." Advanced Materials Research 544 (June 2012): 182–87. http://dx.doi.org/10.4028/www.scientific.net/amr.544.182.

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Engineering components and structures in service are generally subjected to the multiaxial complex loads. The approach of critical plane has been widely accepted by most researchers as the best method in the multiaxial fatigue research field. It can be used well in the constant multiaxial fatigue loads, but not in the complex loads. Basis on analyzing characteristics of shear strain on material planes, the concept of weight-averaged maximum shear strain plane is proposed. A procedure is presented to determine the critical plane under multiaxial random loading. The angle values of the planes th

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9

Dasari, Venkat R., Brian Jalaian, and Saleil Bhat. "Programmable control plane for mission critical wireless networks." Journal of Defense Modeling and Simulation: Applications, Methodology, Technology 15, no. 2 (2017): 245–54. http://dx.doi.org/10.1177/1548512917715808.

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The control plane is an essential element to manage the data plane communications in wired and wireless networks. In a traditional network architecture, the control plane is embedded in the hardware and it lacks programmability. Military wireless networks are historically heterogeneous in nature and require complicated manual setups to create interoperability because of a discontinuous control plane. In the present work, we describe a simple programmable control plane model along with associated network abstractions to create a unified control plane interface that can communicate across hetero

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10

Langlais, T. "Multiaxial cycle counting for critical plane methods." International Journal of Fatigue 25, no. 7 (2003): 641–47. http://dx.doi.org/10.1016/s0142-1123(02)00148-2.

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11

Chu, C. C. "Fatigue Damage Calculation Using the Critical Plane Approach." Journal of Engineering Materials and Technology 117, no. 1 (1995): 41–49. http://dx.doi.org/10.1115/1.2804370.

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The critical plane approach is applied to model material fatigue behavior under any constant amplitude proportional loading. The most critical plane and the largest damage parameter are determined in closed form for six damage criteria that have been proposed in the literature. The correct procedures of utilizing these closed-form solutions to construct the damage parameter versus fatigue life curve are outlined. It is shown that the common practice of characterizing the material’s fatigue behavior by plotting the damage parameter evaluated on the maximum shear plane against the observed fatig

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12

Naik, Rajiv A., Daniel P. DeLuca, and Dilip M. Shah. "Critical Plane Fatigue Modeling and Characterization of Single Crystal Nickel Superalloys." Journal of Engineering for Gas Turbines and Power 126, no. 2 (2004): 391–400. http://dx.doi.org/10.1115/1.1690768.

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Single crystal nickel-base superalloys deform by shearing along 〈111〉 planes, sometimes referred to as “octahedral” slip planes. Under fatigue loading, cyclic stress produces alternating slip reversals on the critical slip systems which eventually results in fatigue crack initiation along the “critical” octahedral planes. A “critical plane” fatigue modeling approach was developed in the present study to analyze high cycle fatigue (HCF) failures in single crystal materials. This approach accounted for the effects of crystal orientation and the micromechanics of the deformation and slip mechanis

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13

AKAMA, Makoto, Hiroyuki MATSUDA, Hisayo DOI, and Masahiro TSUJIE. "F405 Fatigue crack initiation life prediction of rails using theory of critical distance and critical plane approach." Proceedings of The Computational Mechanics Conference 2011.24 (2011): _F—54_—_F—57_. http://dx.doi.org/10.1299/jsmecmd.2011.24._f-54_.

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14

Skënderi Rakipllari, Elsa. "CRITICAL ANALYSIS OF THE DISCURSIVE CONSTRUCTION “STUDENTS OF COVID-19 ERA”." Advanced Linguistics, no. 10 (November 30, 2022): 5–14. http://dx.doi.org/10.20535/2617-5339.2022.10.264338.

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The present paper aims to analyse the discursive construction students of COVID-19 (era), which has been broadly used as a label to refer to all the students, who were shifted to online education due to the COVID-19 pandemic situation. Following the critical discourse analysis theoretical approach, we examine the discursive planes that have built and reinforced this discursive construction. The paper focuses on three main planes that have reinforced this discourse construction: the science (s) plane, (online) media plane, and the everyday life plane. The scientific discourse on education has e

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15

Ko, Ting Hsuan, and Yi-Fan Chen. "Correlation between the In-Plane Critical Behavior and Out-of-Plane Interaction of Ternary Lipid Membranes." Membranes 13, no. 1 (2022): 6. http://dx.doi.org/10.3390/membranes13010006.

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Liquid-liquid phase-separating lipid membranes belong to the 2-D Ising universality class. While their in-plane critical behaviors are well studied, how the behaviors modulate out-of-plane interactions is rarely explored, despite its profound implications for biomembranes and 2-D ferromagnets. Here, we examine how the interlayer interaction, manifested as membrane fusion, is affected by the membranes’ critical fluctuations. Remarkably, the critical fluctuations suppress membrane fusion, suggesting a correlation between critical behaviors and interlayer interactions for 2-D Ising systems.

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16

Kleinbock, Dmitry, Anurag Rao, and Srinivasan Sathiamurthy. "Critical loci of convex domains in the plane." Indagationes Mathematicae 32, no. 3 (2021): 719–28. http://dx.doi.org/10.1016/j.indag.2021.03.003.

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17

Mars, William V., Yintao Wei, Wang Hao, and Mark A. Bauman. "Computing Tire Component Durability via Critical Plane Analysis." Tire Science and Technology 47, no. 1 (2019): 31–54. http://dx.doi.org/10.2346/tire.19.150090.

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ABSTRACT Tire developers are responsible for designing against the possibility of crack development in each of the various components of a tire. The task requires knowledge of the fatigue behavior of each compound in the tire, as well as adequate accounting for the multiaxial stresses carried by tire materials. The analysis is illustrated here using the Endurica CL fatigue solver for the case of a 1200R20 TBR tire operating at 837 kPa under loads ranging from 66 to 170% of rated load. The fatigue behavior of the tire's materials is described from a fracture mechanical viewpoint, with care take

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18

Mao, Z. Q., Y. Maeno, S. NishiZaki, T. Akima, and T. Ishiguro. "In-Plane Anisotropy of Upper Critical Field inSr2RuO4." Physical Review Letters 84, no. 5 (2000): 991–94. http://dx.doi.org/10.1103/physrevlett.84.991.

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19

Chicone, Carmen, and Marc Jacobs. "Bifurcation of critical periods for plane vector fields." Transactions of the American Mathematical Society 312, no. 2 (1989): 433. http://dx.doi.org/10.1090/s0002-9947-1989-0930075-2.

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20

Bai-Mao, Lei, Tran Van-Xuan, Hu Xiang-Hong, and Li Qian. "Critical Plane Orientation Under Biaxial Fatigue Loading Conditions." Procedia Engineering 133 (2015): 72–83. http://dx.doi.org/10.1016/j.proeng.2015.12.625.

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21

Zhang, Yongming. "Critical transition Reynolds number for plane channel flow." Applied Mathematics and Mechanics 38, no. 10 (2017): 1415–24. http://dx.doi.org/10.1007/s10483-017-2245-6.

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22

Pacoste, Costin, and Anders Eriksson. "Element behavior in post-critical plane frame analysis." Computer Methods in Applied Mechanics and Engineering 125, no. 1-4 (1995): 319–43. http://dx.doi.org/10.1016/0045-7825(95)00813-g.

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23

Fokkema, Jacob T., and Anton Ziolkowski. "The critical reflection theorem." GEOPHYSICS 52, no. 7 (1987): 965–72. http://dx.doi.org/10.1190/1.1442365.

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In predictive deconvolution of seismic data, it is assumed that the response of the earth is white. Any nonwhite components are presumed to be caused by the source wavelet or by unwanted multiples. We show that this whiteness assumption is invalid at precritical incidence. We consider plane waves incident on a layered acoustic half‐space. At exactly critical incidence at any interface in the half‐space, the lower layer acts similar to a rigid plate. The response of the half‐space is then all‐pass, or white. This result we call the critical reflection theorem. The response is also white if the

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24

Revyakina, M. G., M. A. Obolenskii, A. V. Bondarenko, and V. A. Shklovskij. "Temperature dependence and anisotropy due to twin planes of the critical current inab-plane." Czechoslovak Journal of Physics 46, S3 (1996): 1771–72. http://dx.doi.org/10.1007/bf02563000.

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25

Andrianopoulos, N. P., and V. C. Boulougouris. "On an intrinsic relationship between plane stress and plane strain critical stress intensity factors." International Journal of Fracture 67, no. 1 (1994): R9—R12. http://dx.doi.org/10.1007/bf00032369.

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26

Brighenti, Roberto, and Andrea Carpinteri. "Damage Mechanics and Critical Plane Approach to Multiaxial Fatigue." Key Engineering Materials 592-593 (November 2013): 239–45. http://dx.doi.org/10.4028/www.scientific.net/kem.592-593.239.

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The mechanical behaviour of structural components subjected to multiaxial fatigue loading is very important in modern design. Several approaches have been introduced in recent decades to analyse this problem. The so-called critical plane approach, based on the stresses acting on the plane where the crack nucleation is expected to occur, is widely used. This criterion can give us a fatigue damage measurement, which can be used to evaluate fatigue life. On the other hand, fatigue life under general multiaxial stress histories can also be assessed by applying the damage accumulation method. In su

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27

Bruno, Alexander Dmitrievich, and Alexander Borisovich Batkhin. "Level lines of a polynomial in the plane." Keldysh Institute Preprints, no. 57 (2021): 1–24. http://dx.doi.org/10.20948/prepr-2021-57.

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We propose a method for computing the position of all level lines of a real polynomial in the real plane. To do this, it is necessary to compute its critical points and critical curves, and then to compute critical values of the polynomial (there are finite number of them). Now finite number of critical levels and one representative of noncritical level corresponding to a value between two neighboring critical ones enough to compute. We propose a scheme for computing level lines based on polynomial computer algebra algorithms: Gröbner bases, primary ideal decomposition. Software for these comp

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28

Wang, Yingyu, and Luca Susmel. "Critical plane approach to multiaxial variable amplitude fatigue loading." Frattura ed Integrità Strutturale 9, no. 33 (2015): 345–56. http://dx.doi.org/10.3221/igf-esis.33.38.

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29

Albinmousa, Jafar. "Multiaxial fatigue crack path prediction using critical plane concept." Frattura ed Integrità Strutturale 10, no. 35 (2015): 182–86. http://dx.doi.org/10.3221/igf-esis.35.21.

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30

Révész, Pál. "Clustering of the critical branching process on the plane." Studia Scientiarum Mathematicarum Hungarica 38, no. 1-4 (2001): 357–66. http://dx.doi.org/10.1556/sscmath.38.2001.1-4.26.

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Let be a Poisson random field in R d . Attimet= 0 a critical branching Wiener process is startingfrom eachP 2. It turns out that after a time the particles will be located in dense, small clusters and between these clusters empty domains are located.

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31

Palin-Luc, Thierry, and Franck Morel. "Critical plane concept and energy approach in multiaxial fatigue." Materials Testing 47, no. 5 (2005): 278–86. http://dx.doi.org/10.3139/120.100660.

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32

Iglói, Ferenc. "Nonuniversal and surface critical behavior near a defect plane." Physical Review B 40, no. 7 (1989): 5187–89. http://dx.doi.org/10.1103/physrevb.40.5187.

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33

Anes, V., M. de Freitas, and L. Reis. "The damage scale concept and the critical plane approach." Fatigue & Fracture of Engineering Materials & Structures 40, no. 8 (2017): 1240–50. http://dx.doi.org/10.1111/ffe.12653.

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34

Cuccoli, Alessandro, Valerio Tognetti, Paola Verrucchi, and Ruggero Vaia. "Critical behavior of the two‐dimensional easy‐plane ferromagnet." Journal of Applied Physics 76, no. 10 (1994): 6362–64. http://dx.doi.org/10.1063/1.358267.

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35

Chen, Charng‐Ning, and Tommy S. W. Wong. "Critical Rainfall Duration for Maximum Discharge from Overland Plane." Journal of Hydraulic Engineering 119, no. 9 (1993): 1040–45. http://dx.doi.org/10.1061/(asce)0733-9429(1993)119:9(1040).

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36

Ge, Min, Lei Zhang, Jiyu Fan, et al. "Critical behavior of the in-plane weak ferromagnet Sr2IrO4." Solid State Communications 166 (July 2013): 60–65. http://dx.doi.org/10.1016/j.ssc.2013.05.007.

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37

Mikhalkin, V. N., S. P. Medvedev, A. E. Mailkov, and S. V. Khomik. "Critical Conditions for Plane-to-Cylindrical Detonation Wave Transformation." Russian Journal of Physical Chemistry B 13, no. 4 (2019): 621–25. http://dx.doi.org/10.1134/s1990793119040249.

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38

Rao, Achanta Ramakrishna, and Gopu Sreenivasulu. "DESIGN OF PLANE SEDIMENT BED CHANNELS AT CRITICAL CONDITION." ISH Journal of Hydraulic Engineering 12, no. 2 (2006): 94–117. http://dx.doi.org/10.1080/09715010.2006.10514834.

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39

Mladenov, K. A. "On the critical and postcritical behaviour of plane frames." Journal of Constructional Steel Research 21, no. 1-3 (1992): 97–113. http://dx.doi.org/10.1016/0143-974x(92)90021-6.

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40

Fruchter, L., D. Colson, and V. Brouet. "Magnetic critical properties and basal-plane anisotropy of Sr2IrO4." Journal of Physics: Condensed Matter 28, no. 12 (2016): 126003. http://dx.doi.org/10.1088/0953-8984/28/12/126003.

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41

Jóhannsson, Hjörtur, Jacob Østergaard, and Arne Hejde Nielsen. "Identification of critical transmission limits in injection impedance plane." International Journal of Electrical Power & Energy Systems 43, no. 1 (2012): 433–43. http://dx.doi.org/10.1016/j.ijepes.2012.05.050.

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42

Wang, Xiao-Wei, De-Guang Shang, and Yu-Juan Sun. "A weight function method for multiaxial low-cycle fatigue life prediction under variable amplitude loading." Journal of Strain Analysis for Engineering Design 53, no. 4 (2018): 197–209. http://dx.doi.org/10.1177/0309324718763671.

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A weight function method based on strain parameters is proposed to determine the critical plane in low-cycle fatigue region under both constant and variable amplitude tension–torsion loadings. The critical plane is defined by the weighted mean maximum absolute shear strain plane. Combined with the critical plane determined by the proposed method, strain-based fatigue life prediction models and Wang-Brown’s multiaxial cycle counting method are employed to predict the fatigue life. The experimental critical plane orientation and fatigue life data under constant and variable amplitude tension–tor

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43

CATHALA, J. C. "ON CRITICAL CURVES IN TWO-DIMENSIONAL ENDOMORPHISMS." International Journal of Bifurcation and Chaos 11, no. 03 (2001): 821–39. http://dx.doi.org/10.1142/s021812740100247x.

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Properties of the critical curves of noninvertible maps are studied using the representation of the plane in the form of sheets. In such a representation, every sheet is associated with a well-defined determination of the inverse map which leads to a foliation of the plane directly related to fundamental properties of the map. The paper describes the change of the plane foliation occurring in the presence of parameter variations, leading to a modification of the nature of the map by crossing through a foliation bifurcation. The degenerated map obtained at the foliation bifurcation is character

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44

Ji, Junjie, Jing-Shan Zhao, Sergey Yurievich Misyurin, and Daniel Martins. "Localization on a-priori information of plane extraction." PLOS ONE 18, no. 5 (2023): e0285509. http://dx.doi.org/10.1371/journal.pone.0285509.

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Localization constitutes a critical challenge for autonomous mobile robots, with flattened walls serving as a fundamental reference for indoor localization. In numerous scenarios, prior knowledge of a wall’s surface plane is available, such as planes in building information modeling (BIM) systems. This article presents a localization technique based on a-priori plane point cloud extraction. The position and pose of the mobile robot are estimated through real-time multi-plane constraints. An extended image coordinate system is proposed to represent any planes in space and establish corresponden

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45

Liao, Ding, Shun-Peng Zhu, and Guian Qian. "Multiaxial fatigue analysis of notched components using combined critical plane and critical distance approach." International Journal of Mechanical Sciences 160 (September 2019): 38–50. http://dx.doi.org/10.1016/j.ijmecsci.2019.06.027.

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46

Zucal, Isabel, Mathias Tremp, Dominik Duscher, et al. "Augmentation-Mastopexy: Analysis of 95 Consecutive Patients and Critical Appraisal of the Procedure." Journal of Clinical Medicine 12, no. 9 (2023): 3213. http://dx.doi.org/10.3390/jcm12093213.

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Single-stage mastopexy-augmentation has been demonstrated to be a safe procedure. However, revisions may still be necessary. We evaluate 95 consecutive patients undergoing mastopexy-augmentation and introduce a new surgical technique for the procedure: the modified dual plane technique. In this retrospective study, 95 patients (mean age 34 ± 11 years) underwent mastopexy-augmentation between 2009 and 2019. The procedures were classified as subglandular, dual plane, or modified dual plane technique. The outcome measures included major and minor complications. A total of 19 patients underwent a

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47

Ashari, Nur Wahidin, Muhammad Ikram, and I. Luh Sumber Dani. "Analysis of Students’ Critical Thinking Skills in Determining Plane Figure Properties." Edumatika : Jurnal Riset Pendidikan Matematika 5, no. 1 (2022): 35–44. http://dx.doi.org/10.32939/ejrpm.v5i1.1336.

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The plane figure is compulsory mathematics material at all levels of education, including junior high school. However, students still make frequent mistakes in understanding the plane figures' properties. In understanding this topic, students must have the skill to think critically. Critical thinking is a process of rational thinking before deciding or taking action in a more specific direction. Therefore, this study aims to determine students' skills in defining the plane figure's properties. The method used in this research is a qualitative research method. Tests and interviews were used to

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48

Shailly, Ms. "A critical review based on Fault Tolerance in Software Defined Networks." Turkish Journal of Computer and Mathematics Education (TURCOMAT) 12, no. 2 (2021): 456–61. http://dx.doi.org/10.17762/turcomat.v12i2.849.

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SDN (Software-Defined Networks) is an incipient architecture of decoupling control plane and data plane involved in dynamic management of network. SDN is being installed in production based networks which ultimately lead to the need of secure and fault tolerant SDN. In the present investigation, we are discussing about the kind of failures with label happen in SDN. A critical survey based on the recently proposed mechanisms for handling failures in SDN. Initially, we discussed with the help of tabular data involving mechanism of data plane failure. We also discussed the various mechanisms for

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49

Alobaidi, Ghada, and Roland Mallier. "Critical Layer Analysis of Stuart Vortices in a Plane Jet." Mathematical Problems in Engineering 2014 (2014): 1–12. http://dx.doi.org/10.1155/2014/137253.

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Asymptotic techniques are used to model quasi-steady-state vortices in the plane (Bickley) inviscid jet. A nonlinear critical layer analysis is used to find a family of steady-state finite amplitude two-dimensional vortices which are based on the Stuart vortex.

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50

Carpinteri, A., C. Ronchei, D. Scorza, and S. Vantadori. "Critical Plane Orientation Influence on Multiaxial High-Cycle Fatigue Assessment." Physical Mesomechanics 18, no. 4 (2015): 348–54. http://dx.doi.org/10.1134/s1029959915040074.

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