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  • 1
    Electronic Resource
    Electronic Resource
    Adiabatic chaos in a two-dimensional mapping (1996)
    Woodbury, NY : American Institute of Physics (AIP)
    Chaos 6 (1996), S. 514-518 
    Details
    ISSN: 1089-7682
    Source: AIP Digital Archive
    Topics: Physics
    Notes: A close to identity symplectic mapping describing the dynamics of a charged particle in the field of an infinitely wide packet of electrostatic waves is studied. A region of chaotic dynamics, whose width is large for an arbitrarily small deviation of the mapping from the identity, exists on the phase cylinder. This is explained by the quasirandom change occurring in an adiabatic invariant of the problem when the phase trajectory crosses a resonance curve. An asymptotic formula is derived for the jump in the adiabatic invariant. The width of the chaos region and the density of the set of invariant curves near the boundary of the chaos region are estimated. © 1996 American Institute of Physics.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1063/1.166198
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  • 2
    Electronic Resource
    Electronic Resource
    Changes in the adiabatic invariant and streamline chaos in confined incompressible Stokes flow (1996)
    Woodbury, NY : American Institute of Physics (AIP)
    Chaos 6 (1996), S. 67-77 
    Details
    ISSN: 1089-7682
    Source: AIP Digital Archive
    Topics: Physics
    Notes: The steady incompressible flow in a unit sphere introduced by Bajer and Moffatt [J. Fluid Mech. 212, 337 (1990)] is discussed. The velocity field of this flow differs by a small perturbation from an integrable field whose streamlines are almost all closed. The unperturbed flow has two stationary saddle points (poles of the sphere) and a two-dimensional separatrix passing through them. The entire interior of the unit sphere becomes the domain of streamline chaos for an arbitrarily small perturbation. This phenomenon is explained by the nonconservation of a certain adiabatic invariant that undergoes a jump when a streamline crosses a small neighborhood of the separatrix of the unperturbed flow. An asymptotic formula is obtained for the jump in the adiabatic invariant. The accumulation of such jumps in the course of repeated crossings of the separatrix results in the complete breaking of adiabatic invariance and streamline chaos. © 1996 American Institute of Physics.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1063/1.166151
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  • 3
    Electronic Resource
    Electronic Resource
    Modeling structural and phase transformations in the heat treatment and hot rolling of low- and medium-carbon medium-alloy structural steels (1999)
    Springer
    Metallurgist 43 (1999), S. 273-276 
    Details
    ISSN: 1573-8892
    Source: Springer Online Journal Archives 1860-2000
    Topics: Mechanical Engineering, Materials Science, Production Engineering, Mining and Metallurgy, Traffic Engineering, Precision Mechanics
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1007/BF02463602
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  • 4
    Electronic Resource
    Electronic Resource
    Selective laser sintering of steel powders to obtain products based on SAPR-models (2000)
    Springer
    Metallurgist 44 (2000), S. 206-209 
    Details
    ISSN: 1573-8892
    Source: Springer Online Journal Archives 1860-2000
    Topics: Mechanical Engineering, Materials Science, Production Engineering, Mining and Metallurgy, Traffic Engineering, Precision Mechanics
    Notes: Conclusions 1. Liquid-phase laser sintering based on Rapid Prototyping technology can be successfully used on powder steel 3Kh3F12, the structure of which has a high concentration of a low-melting carbide eutectic. No low-melting additives are needed in this case. 2. Optimization of the parameters of the laser fusion of powder steel for the duration of the production process makes it possible to obtain small compact specimens (5 mm in diameter and 30 mm in length). 3. Sintered specimens of steel 3Kh3F12 have a microstructure of ledeburite and martensite with 15% vanadium carbides and 16% residual austenite. 4. Despite the high cooling rates (100–1000°C/sec), multicomponent segregation along grain boundaries is seen in the specimens after the laser treatment.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1007/BF02466080
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