Geodesic
Modelling the mechanisms of destruction of the surface layer of a meteoroid under the thermal factor
Matematičeskoe modelirovanie, Tome 32 (2020) no. 12, pp. 103-113

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Based on the equations of the classical linear theory of elasticity, a model problem of the stress-strain state of an elastic cylinder simulating a meteor body falling in the atmosphere with a thin near-surface layer heated due to thermal loads is posed and analytically solved. It is within the framework of the linear formulation of the problem that the influence of an inhomogeneous temperature field on this process has been identified and separately investigated. The maximum shear stresses are calculated for two cases of heating this layer, corresponding to a rapidly rotating cylinder and a moving one without rotation, exceeding the critical strength of its material. Over the past decade, astronomers have identified several dozen small bodies of the Solar system of decameter sizes that have fairly high initial rotation periods in outer space. The features of the mechanisms of formation of the surface relief of falling meteoroids of various types for these cases are revealed. So fast-rotating meteoroids, subject to the effect of peeling-dropping a thin heated outer layer, fell out as meteorites with a smooth surface structure. For those falling forward, the meteorites had a sculptural surface relief covered with regmaglypts generated by Görtler 's vortices.
Keywords: meteoroid, meteorites, stresses, failure mechanisms, Fourier series, strength, Görtler 's vortices
Mots-clés : regmaglypt. 
@article{MM_2020_32_12_a8,
     author = {V. A. Andrushchenko and V. A. Goloveshkin and N. G. Syzranova},
     title = {Modelling the mechanisms of destruction of the surface layer of a meteoroid under the thermal factor},
     journal = {Matemati\v{c}eskoe modelirovanie},
     pages = {103--113},
     publisher = {mathdoc},
     volume = {32},
     number = {12},
     year = {2020},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/MM_2020_32_12_a8/}
}
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V. A. Andrushchenko; V. A. Goloveshkin; N. G. Syzranova. Modelling the mechanisms of destruction of the surface layer of a meteoroid under the thermal factor. Matematičeskoe modelirovanie, Tome 32 (2020) no. 12, pp. 103-113. http://geodesic.mathdoc.fr/item/MM_2020_32_12_a8/