Results 171 to 180 of about 3,411 (210)
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Nonlinearity, 2003
Summary: It is proved in the paper that for every \(s\) with \(1\leq s\leq 2\), there exists a plane arc with Hausdorff dimension \(s\) such that the criticality of it is \(1\), i.e., any function \(f: \mathbb{R}^2\to \mathbb{R}\) of class \(C^\beta\) with \(\beta\geq 1\) critical but not constant along the arc must have \(\beta= 1\).
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Summary: It is proved in the paper that for every \(s\) with \(1\leq s\leq 2\), there exists a plane arc with Hausdorff dimension \(s\) such that the criticality of it is \(1\), i.e., any function \(f: \mathbb{R}^2\to \mathbb{R}\) of class \(C^\beta\) with \(\beta\geq 1\) critical but not constant along the arc must have \(\beta= 1\).
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An Effective Algorithm For Critical Plane Calculation
ECMS 2025 Proceedings edited by Marco Scarpa, Salvatore Cavalieri, Salvatore Serrano, Fabrizio De VitaIn most engineering applications the structural elements are exposed to multiaxial loading, in which case fatigue life estimations are based on critical plane search. The main drawback of these calculations is the huge computational cost, which can only be reduced by the sacrifice of accuracy.
Sándor Döbrentei +1 more
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Critical Plane Analysis of Rubber
2020Durability is an essential feature of most elastomer products, directly linked to safety and to perceptions of brand quality. Product designers must therefore consider the impact on product durability of typical and abusive end-user loading scenarios. This can be accomplished using critical plane analysis (CPA). CPA starts by acknowledging that a small
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Slip circles and critical shear planes
International Journal of Rock Mechanics and Mining Sciences & Geomechanics Abstracts, 1981Assuming linear stress distribution, the normal effective stress is determined at the bottom of vertical interslice boundaries along slip circles through an earth slope. A Mohr's circle of stress is constructed for each point, and the slope of the critical shear planes and the factor of safety on these planes are determined.
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Critical alignments in plane mirror interferometry
Precision Engineering, 1993Abstract Each axis of a plane mirror interferometer has three associated measurement vectors: the interferometer beam, mirror normal, and axis of measurement. The transducer axis of a plane mirror interferometer target is the mirror normal. This contrasts with a retroflector for which the transducer axis is the interferometer beam.
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On the critical and postcritical behaviour of plane frames
Journal of Constructional Steel Research, 1992Abstract The aim of the present paper is to show an application of some results of the classical elastica solution for exact critical and postcritical analysis of plane frames. To this effect equilibrium and compatibility equations of perturbed frame configurations are derived.
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Planing in Shallow Water at Critical Speed
Journal of Ship Research, 2013This article summarizes experiments to determine the effect of shallow water on flat-bottomed prismatic hulls towed fixed in heave and trim over a wide range of speed regimes. The experimental design allowed for the separate measurement of pressure forces normal to the bottom and viscous forces tangential to the bottom.
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Clustering of the critical branching process on the plane
Studia Scientiarum Mathematicarum Hungarica, 2001Let 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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Temperature dependence and anisotropy due to twin planes of the critical current inab-plane
Czechoslovak Journal of Physics, 1996We report the observation at different currents of voltage-angle characteristics (VAC) of flux creep in YBaCuO single crystals with unidirectional twins in the presence of the magnetic fieldH=1.5 T applied ina−b plane and directed in a small angle range near twin planes (TP).
M. G. Revyakina +3 more
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Nonuniversal and surface critical behavior near a defect plane
Physical Review B, 1989The existence of nonuniversal, as well as surface (universal) critical behavior near a defect plane is demonstrated on a one-dimensional quantum lattice gas model, belonging to the two-dimensional Ising universality class. According to numerical results the weak defect region is attracted by a line of fixed points starting at the bulk critical point ...
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