Relevant bibliographies by topics / Critical plane

Academic literature on the topic 'Critical plane'

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Published: 4 June 2021
Last updated: 1 February 2022

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Journal articles on the topic "Critical plane"

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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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Jensen, Iwan, and Anthony J. Guttmann. "Critical exponents of plane meanders." Journal of Physics A: Mathematical and General 33, no. 21 (May 18, 2000): L187—L192. http://dx.doi.org/10.1088/0305-4470/33/21/101.

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

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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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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 vortices provide the dominant contribution to the Reynolds shear stress and larger contributions to the normal stresses than focal regions. The topology was found to be in close agreement with that obtained from other methods of detecting features of the organized motion. The inter-relationship between critical points simultaneously identified in the two planes can provide some insight into the three-dimensionality of the organized motion. Foci in the (x, z)-plane correspond, with relatively high probability and almost negligible streamwise separation, to saddle points in the (x, y)-plane and are interpreted in terms of ribs aligned with the diverging separatrix between consecutive spanwise vortex rolls. Foci in the (x, z)-plane which correspond, with relatively weak probability, to foci in the (x, y)-plane seem consistent with a distortion of the vortex rolls in the (y, z)-plane.
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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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Raskin, Igor, and John Roorda. "In-Plane and Out-of-Plane Buckling of Triangulated Grids." International Journal of Space Structures 10, no. 1 (March 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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Langlais, T. "Multiaxial cycle counting for critical plane methods." International Journal of Fatigue 25, no. 7 (July 2003): 641–47. http://dx.doi.org/10.1016/s0142-1123(02)00148-2.

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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 that experience peak values of maximum shear strains are averaged by employing the weight function, which is assumed to take into account the main factors of influencing the fatigue behavior, e.g. fatigue damage. The proposed algorithm is applied to the multiaxial in- and out-of-phase experiments to assess the correlation between the weight-averaged maximum shear strain direction and the position of the experimental fatigue crack initiation plane.
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Dissertations / Theses on the topic "Critical plane"

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Trickey, Robert V. "Critical points of discrete potentials in the plane and in space." Thesis, University of Nottingham, 2008. http://eprints.nottingham.ac.uk/14362/.

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This thesis looks at various problems relating to the value distribution of certain discrete potentials. Chapter 1 - Background material is introduced, the motivation behind this work is explained, and existing results in the area are presented. Chapter 2 - By using a method based on a result of Cartan, the existence of zeros is shown for potentials in both the complex plane and real space. Chapter 3 - Using an argument of Hayman, we expand on an established result concerning these potentials in the complex plane. We also look at the consequences of a spacing of the poles. Chapter 4 - We extend the potentials in the complex plane to a generalised form, and establish some value distribution results. Chapter 5 - We examine the derivative of the basic potentials, and explore the assumption that it takes the value zero only finitely often. Chapter 6 - We look at a new potential in real space which has advantages over the previously examined ones. These advantages are explained. Appendix - The results of computer simulations relating to these problems are presented here, along with the programs used.
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Ninic, Dejan Mechanical &amp Manufacturing Engineering Faculty of Engineering UNSW. "Fatigue in automatic transmissions." Awarded by:University of New South Wales. School of Mechanical and Manufacturing Engineering, 2006. http://handle.unsw.edu.au/1959.4/28056.

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A novel method of predicting the multiaxial high-cycle fatigue strength of metallic components is proposed and verified for various steel, aluminium and cast iron alloys. The proposed Fatigue Damage Function shows superior multiaxial fatigue strength prediction compared to the established methods of Gough and Pollard, McDiarmid and Carpinteri and Spagnoli. A new material property, the Normal Stress Sensitivity Factor, is also introduced and its applicability is verified according to published test results of sixteen different structural alloys. To highlight the effectiveness of the proposed criterion, for industrial applications, a case study has been conducted on heat-treated and not heat-treated automatic transmission output shafts.
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Niraula, Manjil. "BEHAVIOR AND DESIGN OF THE CRITICAL MEMBER IN STRUCTURES WITH IN-PLANE DISCONTINUOUS BRACED FRAMES." OpenSIUC, 2020. https://opensiuc.lib.siu.edu/theses/2751.

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When a structure with an in-plane discontinuous frame is used, a discontinuous load path is formed due to the irregularity. This is continuous load path can lead to the failure of certain elements and the structure as a whole when the structure is exposed to lateral loading. In this study, an in-plane discontinuous frame structure is exposed to gravity as well as lateral loading due to which a discontinuous load path is formed. Due to the discontinuous load path, higher value of axial load is developed on a beam which is generally designed considering it as a flexural member. The main objective of this thesis is to determine if the beam can be designated as the critical member in the in-plane discontinuous frame and the comparison of the critical element with the corresponding element in a frame that has no structural irregularities. The objective is also to design the critical member considering it as a beam-column element considering the combined effect of bending and compression.
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Ebrinc, Ali Aslan. "High Speed Viscous Plane Couette-poiseuille Flow Stability." Phd thesis, METU, 2004. http://etd.lib.metu.edu.tr/upload/3/12604769/index.pdf.

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The linear stability of high speed-viscous plane Couette and Couette-Poiseuille flows are investigated numerically. The conservation equations along with Sutherland&
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s viscosity law are studied using a second-order finite difference scheme. The basic velocity and temperature distributions are perturbed by a small-amplitude normalmode disturbance. The small-amplitude disturbance equations are solved numerically using a global method using QZ algorithm to find all the eigenvalues at finite Reynolds numbers, and the incompressible limit of these equations is investigated for Couette-Poiseuille flow. It is found that the instabilities occur, although the corresponding growth rates are often small. Two families of wave modes, Mode I (odd modes) and Mode II (even modes), were found to be unstable at finite Reynolds numbers, where Mode II is the dominant instability among the unstable modes for plane Couette flow. The most unstable mode for plane Couette &
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Poiseuille flow is Mode 0, which is not a member of the even modes. Both even and odd modes are acoustic modes created by acoustic reflections between a will and a relative sonic line. The necessary condition for the existence of such acoustic wave modes is that there is a region of locally supersonic mean flow relative to the phase speed of the instability wave. The effects of viscosity and compressibility are also investigated and shown to have a stabilizing role in all cases studied. Couette-Poiseuille flow stability is investigated in case of a choked channel flow, where the maximum velocity in the channel corresponds to sonic velocity. Neutral stability contours were obtained for this flow as a function if the wave number,Reynolds number and the upper wall Mach number. The critical Reynolds number is found as 5718.338 for an upper wall Mach number of 0.0001, corresponding to the fully Poiseuille case.
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Leidermark, Daniel. "Crystal plasticity and crack initiation in a single-crystal nickel-base superalloy : Modelling, evaluation and appliations." Doctoral thesis, Linköpings universitet, Hållfasthetslära, 2011. http://urn.kb.se/resolve?urn=urn:nbn:se:liu:diva-72093.

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In this dissertation the work done in the projects KME-410/502 will be presented.The overall objective in these projects is to evaluate and develop tools for designingagainst fatigue in single-crystal nickel-base superalloys in gas turbines. Experimentshave been done on single-crystal nickel-base superalloy specimens in order toinvestigate the mechanical and fatigue behaviour of the material. The constitutivebehaviour has been modelled and veried by FE-simulations of the experiments.Furthermore, the microstructural degradation during long-time ageing has been investigatedwith respect to the material's yield limit. The eect has been includedin the constitutive model by lowering the resulting yield limit. Moreover, the fatiguecrack initiation of a component has been analysed and modelled by using acritical plane approach in combination with a critical distance method. Finally, asan application, the derived single-crystal model was applied to all the individualgrains in a coarse grained specimen to predict the dispersion in fatigue crack initiationlife depending on random grain distributions. This thesis is divided into three parts. In the rst part the theoretical framework,based upon continuum mechanics, crystal plasticity, the critical plane approachand the critical distance method, is derived. This framework is then used in thesecond part, which consists of six included papers. Finally, in the third part, detailsof the used numerical procedures are presented.
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郭明遠 and Ming-yuen Edward Kwok. "Numerical study of an isolated vortex and the lower critical field of a type-II superconductor in the presence of a twin plane." Thesis, The University of Hong Kong (Pokfulam, Hong Kong), 1996. http://hub.hku.hk/bib/B31213169.

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Kwok, Ming-yuen Edward. "Numerical study of an isolated vortex and the lower critical field of a type-II superconductor in the presence of a twin plane /." Hong Kong : University of Hong Kong, 1996. http://sunzi.lib.hku.hk/hkuto/record.jsp?B19670151.

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Svärd, Henrik. "Topology Optimization of Fatigue-Constrained Structures." Doctoral thesis, KTH, Optimeringslära och systemteori, 2015. http://urn.kb.se/resolve?urn=urn:nbn:se:kth:diva-163575.

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Fatigue, or failure of material due to repeated cyclic loading, is one of the most common causes of mechanical failures. The risk of fatigue in a load carrying component is often lowered by adding material, thereby reducing stresses. This increases the component weight, reducing the performance of the component and increasing its manufacturing cost. There is thus a need to design components to be as light as possible, while keeping the risk of fatigue at a low enough level, i.e. there is a need for optimization of the component subject to fatigue constraints.  This thesis deals with design against fatigue using topology optimization, which is a form of structural optimization where an optimal design is sought by using mathematical programming to decide which parts of a design domain should be filled with material, and which should not.  To predict fatigue, accurate representation of the geometry and accurate stress computation are of utmost importance. In this thesis, methods for imposing constraints such as minimum inner radii and minimum member sizes in the form of four new density filters are proposed. The filters are able to generate a very sharp representation of the structural boundary. A method for improving the accuracy of stress results at the structural boundary is also proposed, based on extrapolation of results from the interior of the structure. The method gives more accurate stresses, which affects the resulting structures when solving optimization problems.  A formulation for fatigue constraints in topology optimization is proposed, based on the weakest link integral. The formulation avoids the problem of choosing between accurate but costly local constraints, and efficient but approximate aggregated constraints, and gives a theoretical motivation for using expressions similar to the p-norm of stresses.  For verifying calculations of the fatigue probability of an optimized structure, critical plane criteria are commonly used. A new method for evaluating such criteria using optimization methods is proposed, and is proved to give results within a user given error tolerance. It is shown that compared to existing brute force methods, the proposed method evaluates significantly fewer planes in the search of the critical one.

QC 20150504

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Whalen, Peter S. "Post plan improvisations of strategic marketing plans : towards a taxonomy /." Connect to title online (Scholars' Bank) Connect to title online (ProQuest), 2008. http://hdl.handle.net/1794/8585.

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Thesis (Ph. D.)--University of Oregon, 2008.
Typescript. Includes vita and abstract. Includes bibliographical references (leaves 169-177). Also available online in Scholars' Bank; and in ProQuest, free to University of Oregon users.
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Whalen, Peter S. 1971. "Post Plan Improvisations of Strategic Marketing Plans: Towards a Taxonomy." Thesis, University of Oregon, 2008. http://hdl.handle.net/1794/8585.

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xiii, 177 p. A print copy of this title is available through the UO Libraries. Search the library catalog for the location and call number.
Marketing Planning is the most prescribed tool for "doing" marketing. The marketing plan's implementation schedule provides a roadmap for accomplishing a firm's stated marketing objectives. For over three decades researchers have investigated planning's link to firm performance. The consensus has been that they do improve performance although there is little empirical evidence to suggest how implementation of those plans is related. Environmental turbulence, new information and failed implementation cause firms to act outside of the planning framework. Improvisation is the contemporaneous creation and execution of an action. The extent to which firms act improvisationally has been studied, but to date there has been no empirical investigation that exposes the different types of post plan improvisations of strategic marketing plans that exist. This dissertation attempts to identify the different types of post plan improvisations (PPI) used in marketing. Using the Critical Incident Technique, 384 incidents of PPI were gathered from marketing planners and then used to create categories and systematically classify each incident. Four primary categories of causes of deviations, six categories of deviations and four categories of outcomes emerged from the data. The results provide a foundation for a theoretical model of the types of post plan improvisations in practice. This will allow further research into contextual differences that could help managers decide when to improvise and when to follow their plan. Further, by exposing the useful application of the CIT method in a new field, additional researchers might begin to use the technique to update and more deeply understand other marketing phenomenon.
Adviser: David M. Boush
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Books on the topic "Critical plane"

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Use of the C-27J fixed-wing aircraft for conducting Army mission critical, time sensitive missions in counterinsurgency operations. Santa Monica, Calif: RAND, 2010.

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International Symposium on Advanced Vehicle Control (1994 Japan). Analysis on Vehicle Stability in Critical Cornering Using Phase-Plane Method AVEC '94: Proceedings of the International Symposium on Advanced Vehicle Control 1994. Tokyo: Society of Automotive Engineers of Japan, 1994.

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Office, General Accounting. Joint strike fighter acquisition: Mature critical technologies needed to reduce risks : report to the chairman, Subcommittee on National Security, Veterans' Affairs, and International Relations, Committee on Government Reform, House of Representatives. Washington, D.C. (P.O. Box 37050, Washington, D.C. 20013): The Office, 2001.

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Bodden, Valerie. Critical plant life. Mankato, MN: Creative Education, 2010.

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Critical care care plans. Springhouse, Pa: Springhouse Corp., 1989.

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Terry, Fugate, ed. Neonatal and pediatric critical care plans. Baltimore: Williams & Wilkins, 1989.

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Sheree, Comer, ed. Delmar's critical care nursing care plans. 2nd ed. Clifton Park, NY: Thomson/Delmar Learning, 2005.

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Moorhouse, Mary Frances. Critical care plans: Guidelines for patient care. Philadelphia: F.A. Davis, 1987.

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Lias, A. S. Place names in England: A critical survey. Ludlow: A.S. Lias, 1990.

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Jani, Vuolteenaho, ed. Critical toponymies: the contested politics of place naming. Burlington, Vt: Ashgate Pub., 2009.

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Book chapters on the topic "Critical plane"

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Pozo, J., and R. Ferrer. "Critical Parameters in the Compressible Easy-Plane Heisenberg Chain." In New Trends in Magnetism, Magnetic Materials, and Their Applications, 69–74. Boston, MA: Springer US, 1994. http://dx.doi.org/10.1007/978-1-4899-1334-0_8.

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Collins, I. F. "On the Plane Strain Deformations of Critical State Models for Sands." In Advances in Continuum Mechanics, 159–67. Berlin, Heidelberg: Springer Berlin Heidelberg, 1991. http://dx.doi.org/10.1007/978-3-642-48890-0_12.

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Mróz, Zenon, and Jan Maciejewski. "Critical Plane Approach to Analysis of Failure Criteria for Anisotropic Geomaterials." In Springer Series in Geomechanics and Geoengineering, 69–89. Berlin, Heidelberg: Springer Berlin Heidelberg, 2011. http://dx.doi.org/10.1007/978-3-642-18284-6_5.

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Mashino, Masami, Shinjiro Tochihara, Hiroshi Yasuoka, Hiromasa Mazaki, Minoru Osada, and Masato Kakihana. "Lower Critical Fields and Hole Densities in The CuO2 Plane of Oxide Superconductors." In Advances in Superconductivity XII, 257–59. Tokyo: Springer Japan, 2000. http://dx.doi.org/10.1007/978-4-431-66877-0_73.

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Infante-García, D., H. Miguelez, E. Giner, and M. Abdel Wahab. "Damage Assessment in Fretting Fatigue Specimens with Micro-voids Using Critical Plane Approach." In Lecture Notes in Mechanical Engineering, 666–71. Singapore: Springer Singapore, 2019. http://dx.doi.org/10.1007/978-981-13-8331-1_51.

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Foss, J. F., S. K. Ali, and R. C. Haw. "A Critical Analysis of Transverse Vorticity Measurements in a Large Plane Shear Layer." In Advances in Turbulence, 446–55. Berlin, Heidelberg: Springer Berlin Heidelberg, 1987. http://dx.doi.org/10.1007/978-3-642-83045-7_50.

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Cruces, A. S., P. Lopez-Crespo, S. Sandip, and B. Moreno. "On the Application of SK Critical Plane Method for Multiaxial Fatigue Analysis of Low Carbon Steel." In Structural Integrity, 287–93. Cham: Springer International Publishing, 2019. http://dx.doi.org/10.1007/978-3-030-13980-3_37.

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Suzuki, M., H. Sakurai, C. Takahashi, M. Komatsu, M. Nagano, and Y. Wakiya. "In-Plane Alignment and Critical Current Density in C-Axis Oriented YBa2Cu3O7-y Films Prepared by Sputtering." In Advances in Cryogenic Engineering Materials, 1001–9. Boston, MA: Springer US, 1996. http://dx.doi.org/10.1007/978-1-4757-9059-7_131.

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Bhatti, N. A., K. Pereira, and M. Abdel Wahab. "A Comparison Between Critical-Plane and Stress-Invariant Approaches for the Prediction of Fretting Fatigue Crack Nucleation." In Proceedings of the 7th International Conference on Fracture Fatigue and Wear, 530–38. Singapore: Springer Singapore, 2018. http://dx.doi.org/10.1007/978-981-13-0411-8_47.

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Taylor, Stephanie. "Place." In Encyclopedia of Critical Psychology, 1408–10. New York, NY: Springer New York, 2014. http://dx.doi.org/10.1007/978-1-4614-5583-7_220.

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Conference papers on the topic "Critical plane"

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Javidi, Bahram, and Dean Painchaud. "Distortion invariant pattern recognition using Fourier plane nonlinear filters." In Critical Review Collection. SPIE, 1996. http://dx.doi.org/10.1117/12.259694.

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Sampson, Robert E. "Recent developments in infrared detectors and focal plane arrays." In Critical Review Collection. SPIE, 1992. http://dx.doi.org/10.1117/12.161574.

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Bobroff, Norman. "Critical alignments in plane mirror interferometry." In Micro - DL Tentative, edited by Michael T. Postek, Jr. SPIE, 1992. http://dx.doi.org/10.1117/12.59841.

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Shanmuganathan, Prashanth. "An Improved Event Plane Detector for the STAR Experiment." In Critical Point and Onset of Deconfinement. Trieste, Italy: Sissa Medialab, 2018. http://dx.doi.org/10.22323/1.311.0066.

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Zhou, Chensheng. "φ spin alignment w.r.t global angular momentum reconstructed with 1st order event plane." In Critical Point and Onset of Deconfinement. Trieste, Italy: Sissa Medialab, 2018. http://dx.doi.org/10.22323/1.311.0048.

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de Morais Teixeira, Giovanni, Radwan Hazime, John Draper, and Dewi Jones. "Random Vibration Fatigue: Frequency Domain Critical Plane Approaches." In ASME 2013 International Mechanical Engineering Congress and Exposition. American Society of Mechanical Engineers, 2013. http://dx.doi.org/10.1115/imece2013-62607.

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Frequency domain analysis offers a very efficient method for the fatigue durability assessment of structures subjected to vibration loading. It also allows engineers to gain valuable insight into system behavior and characteristics that are not easily recognized in the time domain. With some reasonable assumptions, most importantly linearity and steady state behavior, the response of a structure in many engineering applications can be simply evaluated through the “scaling” of the input signal by the Frequency Response Functions (FRFs). In cases where the input is random or stochastic in nature additional assumptions are needed to assess the behavior of the system. Usually such cases assume a stationary and ergodic input signal with a zero mean Gaussian distribution. When making such assumptions the system is still characterized by its FRFs. However, since the input signal is random it can be best described by its Power Spectral Density (PSD). Furthermore, the system response (characterized by the stress tensor) can be evaluated by “scaling” the PSD of the input signal(s) by the magnitude squared of the stress FRFs. The linearity assumption also allows the evaluation of a system response due to multiple inputs through superposition principles. When using stress based fatigue (to assess the durability of a component or a structure) there are several damage evaluation methodologies that can be used. Traditionally, for time domain analysis the von Mises equivalent stress had been the methodology of choice. More recently critical plane search methods have gained popularity and have shown much better correlation with laboratory experiments and field failures, especially under multi-axial and non-proportional loading. Some of these methods have found their way into frequency domain analysis. This paper highlights the application of critical plane methods for the multi-axial fatigue assessment of engineering structures that are subjected to non-deterministic random vibration. A case study is presented to illustrate the process and shows how the proposed method works.
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SEO, JUNGWON, SEOKJIN KWON, and SUNGTAE KWON. "FATIGUE STRENGTH ANALYSIS OF THE WEB PLATE OF WHEELS USING CRITICAL PLANE APPROACH." In Proceedings of the International Conference on ANDE 2007. World Scientific Publishing Company, 2008. http://dx.doi.org/10.1142/9789812790194_0058.

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Naik, Rajiv A., Daniel P. DeLuca, and Dilip M. Shah. "Critical Plane Fatigue Modeling and Characterization of Single Crystal Nickel Superalloys." In ASME Turbo Expo 2002: Power for Land, Sea, and Air. ASMEDC, 2002. http://dx.doi.org/10.1115/gt2002-30300.

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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 mechanisms observed in single crystal materials. Three-dimensional (3-D) stress and strain transformation equations were developed to determine stresses and strains along the crystallographic octahedral planes and corresponding slip systems. These stresses and strains were then used to calculate several multiaxial critical plane parameters to determine the amount of fatigue damage and also the ‘critical planes’ along which HCF failures would initiate. The computed fatigue damage parameters were used along with experimentally measured fatigue lives, at 1100° F, to correlate the data for different loading orientations. Microscopic observations of the fracture surfaces were used to determine the actual octahedral plane (or facet) on which fatigue initiation occurred. X-ray diffraction measurements were then used to uniquely identify this damage initiation facet with respect to the crystal orientation in each specimen. These experimentally determined HCF initiation planes were compared with the analytically predicted ‘critical planes’.
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Karpanan, Kumarswamy. "Critical Plane Search Method for Biaxial and Multiaxial Fatigue Analysis." In ASME 2016 Pressure Vessels and Piping Conference. American Society of Mechanical Engineers, 2016. http://dx.doi.org/10.1115/pvp2016-63705.

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For complex cyclic loadings, stress- or strain-based critical plane search methods are commonly used for fatigue analysis of the structural components. Complex loadings can result in a non-proportional type loading in which it is difficult or impossible to determine the plane with maximum shear stress/strain amplitude. ASME Sec VIII, Div-3 fatigue analysis for non-welded components is a shear stress based fatigue analysis method and, for non-proportional loading, uses the critical plane search method to calculate the plane with maximum shear stress amplitude. For a two-dimensional non-proportional stress state, analytical stress transformation equations can be used to calculate the shear stress or strain amplitude on any plane at a point. The shear stress range on each plane is the difference between the maximum and minimum shear stress. For a three-dimensional stress state, shear stress amplitude calculations are much more complicated because the shear stress is a vector and both magnitude and direction change during the loading cycle. In ASME VIII-3, the maximum shear stress range among all planes, along with the normal stress on the plane, is used to calculate the stress amplitude. This paper presents a method to calculate the shear stress/strain amplitude using 3D transformation equations. This method can be used for any stress- or strain-based critical plane search method. This paper also discusses ASME proportional and non-proportional fatigue analysis methods in detail.
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Sun, Hong-Hua, Xu-Dong Chen, Qing-Yang Li, and Chun-Wei Li. "Multiaxial Fatigue Life Prediction Based on Critical Plane Method." In 2019 International Conference on Quality, Reliability, Risk, Maintenance, and Safety Engineering (QR2MSE). IEEE, 2019. http://dx.doi.org/10.1109/qr2mse46217.2019.9021134.

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Reports on the topic "Critical plane"

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Yang, Z. J. Levitation force on a permanent magnet over a superconducting plane: Modified critical-state model. Office of Scientific and Technical Information (OSTI), August 1997. http://dx.doi.org/10.2172/510396.

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Reddy-Best, Kelly L., Huanjiao Dong, and Eunji Choi. "Male hair cannot extend below plane of the shoulder" and "no cross dressing:" Critical queer analysis of high school dress codes in the United States. Ames: Iowa State University, Digital Repository, 2017. http://dx.doi.org/10.31274/itaa_proceedings-180814-344.

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Chauhan, Dharmistha, and Swapna Bist Joshi. The Care-Responsiveness Barometer: A framework to plan, measure and improve the care-responsiveness of policies, investments and institutions. Oxfam, September 2021. http://dx.doi.org/10.21201/2021.8076.

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Care work, paid, unpaid or underpaid, is a critical social and economic good. There is a need to place it at the core of all policy decisions and investments in development work, as well as across institutions. The Care-Responsiveness Barometer has been developed as a guiding tool for all institutions to plan, measure and improve the care-responsiveness of their work.
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Santarius, J. F., E. A. Mogahed, G. A. Emmert, H. Y. Khater, C. N. Nguyen, S. V. Ryzhkov, and M. D. Stubna. Field-Reversed Configuration Power Plant Critical-Issue Scoping Study. Office of Scientific and Technical Information (OSTI), March 2000. http://dx.doi.org/10.2172/833782.

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Schaeffer, Richard C., and Jr. DoD Critical Infrastructure Protection Execution Plan. Calendar Year 2000. Fort Belvoir, VA: Defense Technical Information Center, March 2000. http://dx.doi.org/10.21236/ada385513.

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Author, Not Given. Study plan for critical renewable energy storage technology (CREST). Office of Scientific and Technical Information (OSTI), January 2009. http://dx.doi.org/10.2172/1217138.

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Sanchez, Rene G., John Alan Bounds, Joetta M. Goda, and William L. Myers. Hand-Stacking and Remote Approach to Critical Using the Planet Assembly. Office of Scientific and Technical Information (OSTI), January 2013. http://dx.doi.org/10.2172/1060370.

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Tayloe, R. W. Jr, and T. C. Davis. Minimum critical masses for uranium at the Portsmouth Gaseous Diffusion Plant. Office of Scientific and Technical Information (OSTI), June 1994. http://dx.doi.org/10.2172/10170364.

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Culora, Thomas J. Japanese Operational Plans in World War 2: Shortfalls in Critical Elements. Fort Belvoir, VA: Defense Technical Information Center, February 1994. http://dx.doi.org/10.21236/ada279663.

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Koning, Thomas L. Proposed Supplemental Guidance for the Department of Defense's Critical Infrastructure Protection Plan. Fort Belvoir, VA: Defense Technical Information Center, February 2002. http://dx.doi.org/10.21236/ada401665.

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