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  • 1
    Electronic Resource
    Electronic Resource
    Springer
    Applied mathematics and mechanics 15 (1994), S. 499-506 
    ISSN: 1573-2754
    Keywords: incompressible material ; plane stress condition ; crack-tip field fully nonlinear ; equilibrium theory
    Source: Springer Online Journal Archives 1860-2000
    Topics: Mechanical Engineering, Materials Science, Production Engineering, Mining and Metallurgy, Traffic Engineering, Precision Mechanics , Mathematics , Physics
    Notes: Abstract The crack-tip field under plane stress condition for an incompressible rubber material[1] is investigated by the use of the fully nonlinear equilibrium theory. It is found that the crack-tip field is composed of two shrink sectors and one expansion sector. At the crack-tip, stress and strain possess the singularity of R−1 and R−1 n, respectively, (R is the distance to the crack-tip before deformation. n is the material constant). When the crack-tip is approached, the thickness of the sheet shrinks to zero with the order of R1 4n. The results obtained in this paper are consistent with that obtained in[8] when s→∞.
    Type of Medium: Electronic Resource
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  • 2
    Publication Date: 2022-10-20
    Description: Author Posting. © American Geophysical Union, 2021. This article is posted here by permission of American Geophysical Union for personal use, not for redistribution. The definitive version was published in Geophysical Research Letters 48(19), (2021): e2021GL094364, https://doi.org/10.1029/2021GL094364.
    Description: The warm Gulf Stream sea surface temperatures strongly impact the evolution of winter clouds behind atmospheric cold fronts. Such cloud evolution remains challenging to model. The Gulf Stream is too wide within the ERA5 and MERRA2 reanalyses, affecting the turbulent surface fluxes. Known problems within the ERA5 boundary layer (too-dry and too-cool with too strong westerlies), ascertained primarily from ACTIVATE 2020 campaign aircraft dropsondes and secondarily from older buoy measurements, reinforce surface flux biases. In contrast, MERRA2 winter surface winds and air-sea temperature/humidity differences are slightly too weak, producing surface fluxes that are too low. Reanalyses boundary layer heights in the strongly forced winter cold-air-outbreak regime are realistic, whereas late-summer quiescent stable boundary layers are too shallow. Nevertheless, the reanalysis biases are small, and reanalyses adequately support their use for initializing higher-resolution cloud process modeling studies of cold-air outbreaks.
    Description: This work was supported by NASA grant 80NSSC19K0390 to ACTIVATE, a NASA Earth Venture Suborbital-3 (EVS-3) investigation funded by NASA's Earth Science Division and managed through the Earth System Science Pathfinder Program Office. The Pacific Northwest National Laboratory (PNNL) is operated for the US Department of Energy (DOE) by Battelle Memorial Institute under Contract DE-AC06-76RLO 1830.
    Description: 2022-03-08
    Keywords: Cold-air outbreaks ; Surface fluxes ; Gulf Stream ; ACTIVATE ; ERA5 ; MERRA2
    Repository Name: Woods Hole Open Access Server
    Type: Article
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