Geodesic
An asymptotic solution to the Signorini problem about a~beam laying on two rigid bases
Zapiski Nauchnykh Seminarov POMI, Mathematical problems in the theory of wave propagation. Part 34, Tome 324 (2005), pp. 43-60

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An asymptoic solution is constructed to the Signorini problem for a two-dimensional thin beam under a possible contact with two rigid profiles. For the position of points where the beam leaves the base, the asymptotic formula is derived by an analysis of the boundary layer phenomenon near these points. 
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     author = {O. V. Izotova and S. A. Nazarov},
     title = {An asymptotic solution to the {Signorini} problem about a~beam laying on two rigid bases},
     journal = {Zapiski Nauchnykh Seminarov POMI},
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     volume = {324},
     year = {2005},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/ZNSL_2005_324_a2/}
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O. V. Izotova; S. A. Nazarov. An asymptotic solution to the Signorini problem about a~beam laying on two rigid bases. Zapiski Nauchnykh Seminarov POMI, Mathematical problems in the theory of wave propagation. Part 34, Tome 324 (2005), pp. 43-60. http://geodesic.mathdoc.fr/item/ZNSL_2005_324_a2/